Hendrik Wade Bode
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Hendrik Wade Bode ( , ;Van Valkenburg, M. E. University of Illinois at Urbana-Champaign, "In memoriam: Hendrik W. Bode (1905-1982)",
IEEE The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) organization, 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE ...
Transactions on Automatic Control, Vol. AC-29, No 3., March 1984, pp. 193–194. Quote: "Something should be said about his name. To his colleagues at Bell Laboratories and the generations of engineers that have followed, the pronunciation is boh-dee. The Bode family preferred that the original Dutch be used as boh-dah."
December 24, 1905 – June 21, 1982) was an American engineer, researcher, inventor, author and scientist, of Dutch ancestry. As a pioneer of modern
control theory Control theory is a field of control engineering and applied mathematics that deals with the control system, control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the applic ...
and electronic telecommunications he revolutionized both the content and methodology of his chosen fields of research. His synergy with
Claude Shannon Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, computer scientist, cryptographer and inventor known as the "father of information theory" and the man who laid the foundations of th ...
, the father of
information theory Information theory is the mathematical study of the quantification (science), quantification, Data storage, storage, and telecommunications, communication of information. The field was established and formalized by Claude Shannon in the 1940s, ...
, laid the foundations for the
technological convergence Technological convergence is the tendency for technologies that were originally unrelated to become more closely integrated and even unified as they develop and advance. For example, watches, telephones, television, computers, and social media ...
of the
Information Age The Information Age is a historical period that began in the mid-20th century. It is characterized by a rapid shift from traditional industries, as established during the Industrial Revolution, to an economy centered on information technology ...
. He made important contributions to the design, guidance and control of anti-aircraft systems during World War II. He helped develop the automatic artillery weapons that defended London from the
V-1 flying bomb The V-1 flying bomb ( "Vengeance Weapon 1") was an early cruise missile. Its official Reich Aviation Ministry () name was Fieseler Fi 103 and its suggestive name was (hellhound). It was also known to the Allies as the buzz bomb or doodlebug a ...
s during
WWII World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
. After the war, Bode along with his wartime rival
Wernher von Braun Wernher Magnus Maximilian Freiherr von Braun ( ; ; 23 March 191216 June 1977) was a German–American aerospace engineer and space architect. He was a member of the Nazi Party and '' Allgemeine SS'', the leading figure in the development of ...
, developer of the
V-2 rocket The V2 (), with the technical name ''Aggregat (rocket family), Aggregat-4'' (A4), was the world's first long-range missile guidance, guided ballistic missile. The missile, powered by a liquid-propellant rocket engine, was developed during the S ...
, and, later, the father of the US space program, served as members of the
National Advisory Committee for Aeronautics The National Advisory Committee for Aeronautics (NACA) was a United States federal agency that was founded on March 3, 1915, to undertake, promote, and institutionalize aeronautical research. On October 1, 1958, the agency was dissolved and its ...
(NACA), the predecessor of
NASA The National Aeronautics and Space Administration (NASA ) is an independent agencies of the United States government, independent agency of the federal government of the United States, US federal government responsible for the United States ...
. During the
Cold War The Cold War was a period of global Geopolitics, geopolitical rivalry between the United States (US) and the Soviet Union (USSR) and their respective allies, the capitalist Western Bloc and communist Eastern Bloc, which lasted from 1947 unt ...
, he contributed to the design and control of missiles and
anti-ballistic missile An anti-ballistic missile (ABM) is a surface-to-air missile designed to Missile defense, destroy in-flight ballistic missiles. They achieve this explosively (chemical or nuclear), or via hit-to-kill Kinetic projectile, kinetic vehicles, which ma ...
s. He also made important contributions to control systems theory and mathematical tools for the analysis of stability of
linear system In systems theory, a linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that are much simpler than the nonlinear case. As a mathematical abstractio ...
s, inventing
Bode plot In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a B ...
s, gain margin and
phase margin In electronic amplifiers, the phase margin (PM) is the difference between the phase (waves), phase lag (< 0) and -180°, for an amplifier's output signal (relative to its input) at zero dB gain - i.e. unity gain, or that the output signal has the ...
. Bode was one of the great engineering philosophers of his era. Long respected in academic circles worldwide,Biography in Spanish
/ref> he is also widely known to modern engineering students mainly for developing the
asymptotic In analytic geometry, an asymptote () of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the ''x'' or ''y'' coordinates Limit of a function#Limits at infinity, tends to infinity. In pro ...
magnitude and phase plot that bears his name, the
Bode plot In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a B ...
. His research contributions in particular were not only multidimensional but also far reaching, extending as far as the U.S.
space program A space program is an organized effort by a government or a company with a goal related to outer space. Lists of space programs include: * List of government space agencies * List of private spaceflight companies * List of human spaceflight prog ...
.NASA Historical Website
/ref>
/ref>


Education

Bode was born in
Madison, Wisconsin Madison is the List of capitals in the United States, capital city of the U.S. state of Wisconsin. It is the List of municipalities in Wisconsin by population, second-most populous city in the state, with a population of 269,840 at the 2020 Uni ...
. His father was a professor of education, and a faculty member at the
University of Illinois at Urbana-Champaign The University of Illinois Urbana-Champaign (UIUC, U of I, Illinois, or University of Illinois) is a public land-grant research university in the Champaign–Urbana metropolitan area, Illinois, United States. Established in 1867, it is the f ...
by the time young Hendrik was ready for elementary school. He entered Leal Elementary School and rapidly advanced through the Urbana school system to graduate from high school at the age of 14.Leal Elementary School
/ref> Immediately after graduation from high school he applied for admission to the University of Illinois but was denied because of his age. Decades later, in 1977, the same university would grant him an honorary
Sc.D. A Doctor of Science (; most commonly abbreviated DSc or ScD) is a science doctorate awarded in a number of countries throughout the world. Africa Algeria and Morocco In Algeria, Morocco, Libya and Tunisia, all universities accredited by the s ...
degree. He eventually applied and was accepted at
Ohio State University The Ohio State University (Ohio State or OSU) is a public university, public Land-grant university, land-grant research university in Columbus, Ohio, United States. A member of the University System of Ohio, it was founded in 1870. It is one ...
, where his father also taught, and he received his BA degree in 1924, at age 19, and his M.A. degree in 1926, both in Mathematics.National Academies Press Tribute by Harvey Brooks
After receiving his M.A. he remained at his alma mater, working as a
teaching assistant A teaching assistant (TA) or education assistant (EA) is an individual who assists a professor or teacher with instructional responsibilities. TAs include ''graduate teaching assistants'' (GTAs), who are graduate students; ''undergraduate teach ...
, for an additional year.


Early contributions at Bell Labs and Ph.D.

Fresh from
graduate school Postgraduate education, graduate education, or graduate school consists of academic or professional degrees, certificates, diplomas, or other qualifications usually pursued by post-secondary students who have earned an undergraduate (bachel ...
he was promptly hired by
Bell Labs Nokia Bell Labs, commonly referred to as ''Bell Labs'', is an American industrial research and development company owned by Finnish technology company Nokia. With headquarters located in Murray Hill, New Jersey, Murray Hill, New Jersey, the compa ...
in New York City, where he began his career as designer of electronic filters and equalizers.Filter Design
/ref> Subsequently, in 1929, he was assigned to the Mathematical Research Group,
/ref> where he excelled in research related to electronic networks theory and its application to telecommunications. Sponsored by Bell Laboratories he reentered graduate school, this time at
Columbia University Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...
, and he successfully completed his PhD in
physics Physics is the scientific study of matter, its Elementary particle, fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force. "Physical science is that department of knowledge whi ...
in 1935.Bell Labs
/ref> In 1938, he developed asymptotic phase and magnitude plots, now known as
Bode plot In electrical engineering and control theory, a Bode plot is a graph of the frequency response of a system. It is usually a combination of a Bode magnitude plot, expressing the magnitude (usually in decibels) of the frequency response, and a B ...
s, which displayed the frequency response of systems clearly. His work on automatic (
feedback Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause and effect that forms a circuit or loop. The system can then be said to ''feed back'' into itself. The notion of cause-and-effect has to be handle ...
) control systems introduced innovative methods to the study of system stability that enabled engineers to investigate
time-domain In mathematics and signal processing, the time domain is a representation of how a signal, function, or data set varies with time. It is used for the analysis of function (mathematics), mathematical functions, physical signal (information theory), ...
stability Stability may refer to: Mathematics *Stability theory, the study of the stability of solutions to differential equations and dynamical systems ** Asymptotic stability ** Exponential stability ** Linear stability **Lyapunov stability ** Marginal s ...
using the
frequency-domain In mathematics, physics, electronics, control systems engineering, and statistics, the frequency domain refers to the analysis of mathematical functions or signals with respect to frequency (and possibly phase), rather than time, as in time ser ...
concepts of gain and
phase margin In electronic amplifiers, the phase margin (PM) is the difference between the phase (waves), phase lag (< 0) and -180°, for an amplifier's output signal (relative to its input) at zero dB gain - i.e. unity gain, or that the output signal has the ...
, the study of which was aided by his now famous plots. In essence, his method made stability transparent to both the time and frequency domains and, furthermore, his frequency-domain-based analysis was much faster and simpler than the traditional time-domain-based method. This provided engineers with a fast and intuitive stability analysis and system design tool that remains widely used today. He, along with Harry Nyquist, also developed the theoretical conditions applicable to the stability of amplifier circuits.


World War II and new inventions


Change of direction

With the inexorable onset of
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
, Bode turned his sights on the military applications of his control systems research, a change of direction that would last in varying degree to the end of his career. He came to the service of his country by working on the ''Director Project'' at Bell LabsMindell, David A., "Automation's Finest Hour: Bell Labs and Automatic Control in World War II",
IEEE The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) organization, 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE ...
Control Systems, December 1995, pp. 72–80.
(funded by National Defense Research Committee (NDRC) Section D-2), developing automatic
anti-aircraft Anti-aircraft warfare (AAW) is the counter to aerial warfare and includes "all measures designed to nullify or reduce the effectiveness of hostile air action".AAP-6 It encompasses surface-based, subsurface ( submarine-launched), and air-ba ...
control systems, whereby
radar Radar is a system that uses radio waves to determine the distance ('' ranging''), direction ( azimuth and elevation angles), and radial velocity of objects relative to the site. It is a radiodetermination method used to detect and track ...
information was used to provide data about the location of the enemy aircraft, which was then fed back to the anti-aircraft artillery
servomechanism In mechanical and control engineering, a servomechanism (also called servo system, or simply servo) is a control system for the position and its time derivatives, such as velocity, of a mechanical system. It often includes a servomotor, and ...
s, enabling automatic, radar-augmented enemy aircraft ballistic tracking, in other words, automatic shooting down of enemy aircraft with the help of radar. The servomotors used were both electrically and hydraulically powered, the latter being used mainly for positioning the heavy anti-aircraft guns.


First wireless feedback loop and robot weapons

The radar signal was locked on target, and its data was wirelessly transmitted to a ground receiver that was connected to the artillery servomechanism feedback control system, causing the servo to accurately modify its angular position and maintain it for an optimal amount of time, long enough to fire at the calculated (predicted) coordinates of the target and thus successfully track the target. The prediction of the coordinates was the function of director T-10, a form of electrical computer so named because it was used to direct the positioning of the gun with respect to the airborne target. It also calculated the target average velocity based on the location information provided by the radar and predicted the future target location based on its assumed flightpath equation, usually a linear function of time. This system functioned as an early version of the modern anti-ballistic missile defence
model A model is an informative representation of an object, person, or system. The term originally denoted the plans of a building in late 16th-century English, and derived via French and Italian ultimately from Latin , . Models can be divided in ...
.Antiballistic Defence
Statistical analysis Statistical inference is the process of using data analysis to infer properties of an underlying probability distribution.Upton, G., Cook, I. (2008) ''Oxford Dictionary of Statistics'', OUP. . Inferential statistical analysis infers properties of ...
was also employed to aid in the computation of the exact position of the enemy aircraft and to smooth the data acquired from the target due to signal fluctuations and noise effects.From Communications Engineering to Communications Science
Cybernetics and Information Theory in the United States, France, and the Soviet Union by David Mindell, Jérôme Segal, Slava Gerovitch pp. 1–19. (From the book: ''Science and Ideology: A Comparative History'', sous la direction de Mark Walker, Routledge, London, 2003, pp. 66–95.)


"Shotgun marriage"

Bode therefore realized the first wireless data feedback loop in the history of automatic control systems by combining
wireless Wireless communication (or just wireless, when the context allows) is the transfer of information (''telecommunication'') between two or more points without the use of an electrical conductor, optical fiber or other continuous guided transm ...
data communications, electrical computers, statistics principles and feedback control systems theory. He showed his dry sense of humour by calling this
multidisciplinary An academic discipline or academic field is a subdivision of knowledge that is taught and researched at the college or university level. Disciplines are defined (in part) and recognized by the academic journals in which research is published, ...
linkage a ''
shotgun marriage A shotgun wedding is a wedding arranged in response to pregnancy resulting from premarital sex. The phrase comes from the figurative imagining that the relatives of the pregnant bride threaten the reluctant male groom with a shotgun in order to ...
'',U.K. Gonville & Caius College Engineering student tribute
.
referring to the antiaircraft artillery origins of his historic invention, saying: "This, I said, was a sort of shotgun marriage forced upon us by the pressures of military problems in World War II." He also described it further as "a sort of 'shotgun marriage' between two incompatible personalities" and characterised the product of that linkage as a "son of shotgun marriage". The product of this "marriage", i.e. the automated artillery gun, can also be considered as a
robot A robot is a machine—especially one Computer program, programmable by a computer—capable of carrying out a complex series of actions Automation, automatically. A robot can be guided by an external control device, or the robot control, co ...
weapon. Its function required to process data that was wirelessly transmitted to its sensors and make a decision based on the data received using its onboard computer about its output defined as its angular position and the timing of its firing mechanism. In this model we can see all the elements of later concepts such as
data processing Data processing is the collection and manipulation of digital data to produce meaningful information. Data processing is a form of ''information processing'', which is the modification (processing) of information in any manner detectable by an o ...
,
automation Automation describes a wide range of technologies that reduce human intervention in processes, mainly by predetermining decision criteria, subprocess relationships, and related actions, as well as embodying those predeterminations in machine ...
,
artificial intelligence Artificial intelligence (AI) is the capability of computer, computational systems to perform tasks typically associated with human intelligence, such as learning, reasoning, problem-solving, perception, and decision-making. It is a field of re ...
,
cybernetics Cybernetics is the transdisciplinary study of circular causal processes such as feedback and recursion, where the effects of a system's actions (its outputs) return as inputs to that system, influencing subsequent action. It is concerned with ...
,
robotics Robotics is the interdisciplinary study and practice of the design, construction, operation, and use of robots. Within mechanical engineering, robotics is the design and construction of the physical structures of robots, while in computer s ...
etc.


Working on director studies

Bode, in addition, applied his extensive skills with feedback amplifiers to design the target data smoothing and position predictor networks of an improved model of director T-10, called the ''director T-15''. The work on director T-15 was undertaken under a new project at Bell Labs called ''Fundamental Director Studies'' in cooperation with the NDRC under the directorship of Walter McNair. NDRC, the funding agency of this project, was operating under the aegis of the
Office of Scientific Research and Development The Office of Scientific Research and Development (OSRD) was an agency of the United States federal government created to coordinate scientific research for military purposes during World War II. Arrangements were made for its creation during May ...
( OSRD). His NDRC-funded research at Bell Labs under the section D-2 (Control Systems section) contract eventually led to other important developments in related fields and laid the cornerstone for many present-day inventions. In the field of
control theory Control theory is a field of control engineering and applied mathematics that deals with the control system, control of dynamical systems in engineered processes and machines. The objective is to develop a model or algorithm governing the applic ...
, for example, it aided in the further development of servomechanism design and control, a crucial component of modern
robotics Robotics is the interdisciplinary study and practice of the design, construction, operation, and use of robots. Within mechanical engineering, robotics is the design and construction of the physical structures of robots, while in computer s ...
. The development of wireless data communications theory by Bode led to later inventions such as mobile phones and
wireless networking A wireless network is a computer network that uses wireless data connections between network nodes. Wireless networking allows homes, telecommunications networks, and business installations to avoid the costly process of introducing cables in ...
. The reason for the new project was that director T-10 encountered difficulties in calculating the target velocity by differentiating the target position. Due to discontinuities, variations and noise in the radar signal, the position
derivative In mathematics, the derivative is a fundamental tool that quantifies the sensitivity to change of a function's output with respect to its input. The derivative of a function of a single variable at a chosen input value, when it exists, is t ...
s sometimes fluctuated wildly, and this caused erratic motion in the servomechanisms of the gun because their control signal was based on the value of the derivatives. This could be mitigated by smoothing or averaging out the data, but this caused delays in the feedback loop that enabled the target to escape. As well, the algorithms of director T-10 required a number of transformations from Cartesian (rectangular) to
polar coordinates In mathematics, the polar coordinate system specifies a given point (mathematics), point in a plane (mathematics), plane by using a distance and an angle as its two coordinate system, coordinates. These are *the point's distance from a reference ...
and back to Cartesian, a process that introduced additional tracking errors. Bode designed the
velocity Velocity is a measurement of speed in a certain direction of motion. It is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of physical objects. Velocity is a vector (geometry), vector Physical q ...
computing networks of director T-15 by applying a
finite difference method In numerical analysis, finite-difference methods (FDM) are a class of numerical techniques for solving differential equations by approximating Derivative, derivatives with Finite difference approximation, finite differences. Both the spatial doma ...
instead of differentiation. Under this scheme the target positional
coordinates In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine and standardize the Position (geometry), position of the Point (geometry), points or other geometric elements on a manifold such as ...
were stored in a mechanical memory, usually a
potentiometer A potentiometer is a three- terminal resistor with a sliding or rotating contact that forms an adjustable voltage divider. If only two terminals are used, one end and the wiper, it acts as a variable resistor or rheostat. The measuring instrum ...
or a
cam Cam or CAM may refer to: Science and technology * Cam (mechanism), a mechanical linkage which translates motion * Camshaft, a shaft with a cam * Camera or webcam, a device that records images or video In computing * Computer-aided manufacturin ...
. The velocity was then calculated by taking the difference between the coordinates of the current position and the coordinates of the previous reading that were stored in memory and dividing by the difference of their respective times. This method was more robust than the differentiation method, and it also smoothed out signal disturbances, since the finite time-step size was less sensitive to
random In common usage, randomness is the apparent or actual lack of definite pattern or predictability in information. A random sequence of events, symbols or steps often has no order and does not follow an intelligible pattern or combination. ...
signal impulses ( spikes). It also introduced for the first time an algorithm better suited to modern
digital signal processing Digital signal processing (DSP) is the use of digital processing, such as by computers or more specialized digital signal processors, to perform a wide variety of signal processing operations. The digital signals processed in this manner are a ...
theory rather than to the classical
calculus Calculus is the mathematics, mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithmetic operations. Originally called infinitesimal calculus or "the ...
-based analog signal processing approach that was followed then. Not coincidentally it is an integral part of modern digital control theory and digital signal processing and is known as the backward difference algorithm.Eric W. Weisstein
"Backward Difference"
From MathWorld—A Wolfram Web Resource.
In addition, the director T-15 operated only in rectangular coordinates, thus eliminating coordinate-transformation-based errors. These design innovations paid performance dividends, and the director T-15 was twice as accurate as its predecessor and converged on a target twice as fast. The fire control
algorithm In mathematics and computer science, an algorithm () is a finite sequence of Rigour#Mathematics, mathematically rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algo ...
implementation of his artillery design research and his extensive work with feedback amplifiers advanced the state of the art in computational methods and led to the eventual development of the electronic analog computer,Analog Computer
.
the
operational amplifier An operational amplifier (often op amp or opamp) is a direct coupling, DC-coupled Electronic component, electronic voltage amplifier with a differential input, a (usually) Single-ended signaling, single-ended output, and an extremely high gain ( ...
based alternative of today's digital computers. Inventions such as these, despite their military research origins, have had a profound and lasting impact in the civilian domain.


Military uses


Anzio and Normandy

The automated anti-aircraft guns that Bode helped develop were successfully used in numerous instances during the war. In February 1944, an automated fire control system based on the earlier version of the director T-15, called the director T-10 by Bell Labs or director M-9 by the military, saw action for the first time in
Anzio Anzio (, also ; ) is a town and ''comune'' on region of Italy, about south of Rome. Well known for its seaside resorts, it is a fishing port and a departure point for ferries and hydroplanes to the Pontine Islands of Ponza, Palmarola, and Ve ...
, Italy, where it helped down over one hundred enemy aircraft. On
D-day The Normandy landings were the landing operations and associated airborne operations on 6 June 1944 of the Allied invasion of Normandy in Operation Overlord during the Second World War. Codenamed Operation Neptune and often referred to as ...
39 units were deployed in
Normandy Normandy (; or ) is a geographical and cultural region in northwestern Europe, roughly coextensive with the historical Duchy of Normandy. Normandy comprises Normandy (administrative region), mainland Normandy (a part of France) and insular N ...
to protect the allied invading force against
Hitler Adolf Hitler (20 April 1889 – 30 April 1945) was an Austrian-born German politician who was the dictator of Nazi Germany from 1933 until Death of Adolf Hitler, his suicide in 1945. Adolf Hitler's rise to power, He rose to power as the lea ...
's
Luftwaffe The Luftwaffe () was the aerial warfare, aerial-warfare branch of the before and during World War II. German Empire, Germany's military air arms during World War I, the of the Imperial German Army, Imperial Army and the of the Imperial Ge ...
.


Use against the V-1 flying bomb

Perhaps the menace best suited for the design specifications of such an automated artillery system appeared in June 1944. It was another robot. The German aeronautical engineers aided by
Wernher von Braun Wernher Magnus Maximilian Freiherr von Braun ( ; ; 23 March 191216 June 1977) was a German–American aerospace engineer and space architect. He was a member of the Nazi Party and '' Allgemeine SS'', the leading figure in the development of ...
produced a robot of their own: the
V-1 flying bomb The V-1 flying bomb ( "Vengeance Weapon 1") was an early cruise missile. Its official Reich Aviation Ministry () name was Fieseler Fi 103 and its suggestive name was (hellhound). It was also known to the Allies as the buzz bomb or doodlebug a ...
, an automatically guided bomb and widely considered a precursor of the
cruise missile A cruise missile is an unmanned self-propelled guided missile that sustains flight through aerodynamic lift for most of its flight path. Cruise missiles are designed to deliver a large payload over long distances with high precision. Modern cru ...
.Germans at last learn truth about von Braun's 'space research' base
. Article on
The Telegraph ''The Telegraph'', ''Daily Telegraph'', ''Sunday Telegraph'' and other variant names are often names for newspapers. Newspapers with these titles include: Australia * The Telegraph (Adelaide), ''The Telegraph'' (Adelaide), a newspaper in Adelaid ...
by Tony Paterson in Peenemunde, June 10, 2001. Quote: "...missile research centre run by Wernher von Braun, who later worked on the American space programme..." . Retrieved March 9, 2007.
IEEE Global History Network
Quote: "Von Braun soon went to work at a secret laboratory called Peenemünde near the Baltic Sea, working on the V-1 missile, which would terrorize Londoners". Retrieved January 14, 2009.
Its flight specifications almost perfectly suited the target design criteria of director T-10, that of an aircraft flying straight and level at constant velocity, in other words a target nicely fitting the computing capabilities of a linear predictor model such as the director T-10. Although the Germans did have a trick up their engineering sleeve by making the bomb fly fast and low to evade radar, a technique widely adopted even today. During the
London Blitz London is the capital and largest city of both England and the United Kingdom, with a population of in . Its wider metropolitan area is the largest in Western Europe, with a population of 14.9 million. London stands on the River Tha ...
one hundred 90 mm automated gun units assisted by director T-10 were set up in a perimeter south of London, at the special request of
Winston Churchill Sir Winston Leonard Spencer Churchill (30 November 1874 – 24 January 1965) was a British statesman, military officer, and writer who was Prime Minister of the United Kingdom from 1940 to 1945 (Winston Churchill in the Second World War, ...
. The AA units included the SCR-584 radar unit produced by the Radiation Lab at
MIT The Massachusetts Institute of Technology (MIT) is a private research university in Cambridge, Massachusetts, United States. Established in 1861, MIT has played a significant role in the development of many areas of modern technology and sc ...
and the proximity fuse mechanism, developed by Merle Tuve and his special ''Division T'' at NDRC, that detonated near the target using a
microwave Microwave is a form of electromagnetic radiation with wavelengths shorter than other radio waves but longer than infrared waves. Its wavelength ranges from about one meter to one millimeter, corresponding to frequency, frequencies between 300&n ...
controlled fuse called the VT, or variable time fuse, enabling a larger detonation reach envelope and increasing the chances of a successful outcome. Between June 18 and July 17, 1944, 343 V-1 bombs were shot down, or 10% of the total V-1 number sent by the Germans and about 20% of the total V-1 bombs shot down. From July 17 to August 31 the automated gun kills rose to 1286 V-1 rockets, or 34% of the total V-1 number dispatched from Germany and 50% of the V-1 actually shot down over London. From these statistics it can be seen that the automated systems that Bode helped design had a considerable impact on crucial battles of
World War II World War II or the Second World War (1 September 1939 – 2 September 1945) was a World war, global conflict between two coalitions: the Allies of World War II, Allies and the Axis powers. World War II by country, Nearly all of the wo ...
. It can also be seen that London at the time of the Blitz became, among other things, the original robot battlefield.


Synergy with Shannon

In 1945, as the war was winding down, the NDRC was issuing a summary of technical reports as the prelude to its eventual closing down. Inside the volume on fire control a special essay titled ''Data Smoothing and Prediction in Fire-Control Systems'', coauthored by Ralph Beebe Blackman, Hendrik Bode, and
Claude Shannon Claude Elwood Shannon (April 30, 1916 – February 24, 2001) was an American mathematician, electrical engineer, computer scientist, cryptographer and inventor known as the "father of information theory" and the man who laid the foundations of th ...
, formally introduced the problem of fire control as a special case of ''transmission, manipulation and utilization of intelligence'', in other words, it modeled the problem in terms of
data Data ( , ) are a collection of discrete or continuous values that convey information, describing the quantity, quality, fact, statistics, other basic units of meaning, or simply sequences of symbols that may be further interpreted for ...
and
signal processing Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as audio signal processing, sound, image processing, images, Scalar potential, potential fields, Seismic tomograph ...
and thus heralded the coming of the
information age The Information Age is a historical period that began in the mid-20th century. It is characterized by a rapid shift from traditional industries, as established during the Industrial Revolution, to an economy centered on information technology ...
. Shannon, considered to be the father of
information theory Information theory is the mathematical study of the quantification (science), quantification, Data storage, storage, and telecommunications, communication of information. The field was established and formalized by Claude Shannon in the 1940s, ...
, was greatly influenced by this work. It is clear that the
technological convergence Technological convergence is the tendency for technologies that were originally unrelated to become more closely integrated and even unified as they develop and advance. For example, watches, telephones, television, computers, and social media ...
of the information age was preceded by the
synergy Synergy is an interaction or cooperation giving rise to a whole that is greater than the simple sum of its parts (i.e., a non-linear addition of force, energy, or effect). The term ''synergy'' comes from the Attic Greek word συνεργία ' f ...
between these scientific minds and their collaborators.


Further wartime achievements

In 1944, Bode was placed in charge of the Mathematical Research Group at Bell Laboratories.Mathematical Research Group History
His work on electronic communications, especially on filter and equalizer design, continued during this time. In 1945 it culminated in the publication of his book under the title of ''Network Analysis and
Feedback Feedback occurs when outputs of a system are routed back as inputs as part of a chain of cause and effect that forms a circuit or loop. The system can then be said to ''feed back'' into itself. The notion of cause-and-effect has to be handle ...
Amplifier An amplifier, electronic amplifier or (informally) amp is an electronic device that can increase the magnitude of a signal (a time-varying voltage or current). It is a two-port electronic circuit that uses electric power from a power su ...
Design'',Op. Amp. Demo
.
which is considered a classic in the field of electronic telecommunications and was extensively used as a textbook for many graduate programs at various universities, as well as for internal training courses at Bell Labs.First Dozen Control Books in English
He was also the prolific author of many research papers that were published in prestigious scientific and technical journals. In 1948, President
Harry S. Truman Harry S. Truman (May 8, 1884December 26, 1972) was the 33rd president of the United States, serving from 1945 to 1953. As the 34th vice president in 1945, he assumed the presidency upon the death of Franklin D. Roosevelt that year. Subsequen ...
awarded him the President's Certificate of Merit, in recognition of his remarkable scientific contributions to the war effort and to the United States of America.Bode biography at IEEE Global History Network


Peacetime contributions


Change of focus

As the war came to an end, his research focus shifted to include not only military but civilian research projects as well. On the military side he continued pursuing ballistic missile research, including research on antiballistic missile defence and associated
computing Computing is any goal-oriented activity requiring, benefiting from, or creating computer, computing machinery. It includes the study and experimentation of algorithmic processes, and the development of both computer hardware, hardware and softw ...
algorithms In mathematics and computer science, an algorithm () is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for per ...
, and in the civilian domain he concentrated on modern communication theory. On the post-war military research front he worked on the
Nike Zeus Nike Zeus was an anti-ballistic missile (ABM) system developed by the United States Army during the late 1950s and early 1960s that was designed to destroy incoming Soviet intercontinental ballistic missile warheads before they could hit their ...
missile project as part of a team with
Douglas Aircraft The Douglas Aircraft Company was an American aerospace and defense company based in Southern California. Founded in 1921 by Donald Wills Douglas Sr., it merged with McDonnell Aircraft in 1967 to form McDonnell Douglas, where it operated as a di ...
, and later on the design of
anti-ballistic missile An anti-ballistic missile (ABM) is a surface-to-air missile designed to Missile defense, destroy in-flight ballistic missiles. They achieve this explosively (chemical or nuclear), or via hit-to-kill Kinetic projectile, kinetic vehicles, which ma ...
s.


Retirement from Bell Labs

In 1952, he was promoted to the level of director of mathematical research at
Bell Labs Nokia Bell Labs, commonly referred to as ''Bell Labs'', is an American industrial research and development company owned by Finnish technology company Nokia. With headquarters located in Murray Hill, New Jersey, Murray Hill, New Jersey, the compa ...
. In 1955, he became director of research in the physical sciences, and remained there until 1958, when he was promoted again to become one of the two vice presidents in charge of military development and
systems A system is a group of interacting or interrelated elements that act according to a set of rules to form a unified whole. A system, surrounded and influenced by its environment, is described by its boundaries, structure and purpose and is exp ...
engineering, a position he held up to his retirement. He also became a director of Bellcomm, a company associated with the
Apollo program The Apollo program, also known as Project Apollo, was the United States human spaceflight program led by NASA, which Moon landing, landed the first humans on the Moon in 1969. Apollo followed Project Mercury that put the first Americans in sp ...
. His applied research at Bell Labs over the years led to numerous patented inventions, some of which were registered in his name. By the time of his retirement he held a total of 25 patents in various areas of electrical and communications engineering, including signal
amplifiers An amplifier, electronic amplifier or (informally) amp is an electronic device that can increase the magnitude of a signal (a time-varying voltage or current). It is a two-port electronic circuit that uses electric power from a power suppl ...
and
artillery Artillery consists of ranged weapons that launch Ammunition, munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during sieges, and l ...
control systems. He retired from Bell Labs in October 1967, at the age of 61, ending an association that spanned more than four decades and changed the face of many of the core elements of modern engineering.


Harvard


Gordon McKay professorship

Soon after retirement, Bode was elected to the academically prestigious Gordon McKay Professor of Systems Engineering position at
Harvard University Harvard University is a Private university, private Ivy League research university in Cambridge, Massachusetts, United States. Founded in 1636 and named for its first benefactor, the History of the Puritans in North America, Puritan clergyma ...
.Harvard Crimson: Bell Researcher Named Professor
Quote: ''Harvard announced yesterday that it has named Hendrik Wade Bode, about to retire as vice-president of the Bell Telephone Laboratories, to be Gordon McKay Professor of Systems Engineering here.'' Published On 13 October 1967 12:00:00 a.m. No Writer Attributed. Retrieved March 10, 2007.
During his tenure there, he pursued research on military decision making
algorithms In mathematics and computer science, an algorithm () is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation. Algorithms are used as specifications for per ...
and
optimization Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criteria, from some set of available alternatives. It is generally divided into two subfiel ...
techniques based on
stochastic processes In probability theory and related fields, a stochastic () or random process is a mathematical object usually defined as a family of random variables in a probability space, where the index of the family often has the interpretation of time. Stoc ...
that are considered a precursor of modern
fuzzy logic Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept of partial truth, where the truth value may range between completely true and completely ...
. He also studied the effects of technology on modern society and taught courses on the same subject at Harvard's Science and Public Policy Seminar, while supervising and teaching undergraduate and graduate students at the same time in the division of Engineering and Applied Physics.


Research legacy

Although his professorial duties were demanding of his time, he kept a keen eye on leaving his research legacy. He was simultaneously working on a new book that expounded on his extensive experience as a researcher at Bell Labs, which he published in 1971 under the title ''Synergy: Technical Integration and Technological Innovation in the
Bell System The Bell System was a system of telecommunication companies, led by the Bell Telephone Company and later by the AT&T Corporation, American Telephone and Telegraph Company (AT&T), that dominated the telephone services industry in North America fo ...
''. Using terms easily accessible even to laymen, he analyzed and expanded on technical and philosophical aspects of systems engineering as practised at Bell Labs. He explained how seemingly different fields of Engineering were merging, guided by the necessity of the flow of information between system components that transcended previously well defined boundaries and thus he introduced us to a technological
paradigm shift A paradigm shift is a fundamental change in the basic concepts and experimental practices of a scientific discipline. It is a concept in the philosophy of science that was introduced and brought into the common lexicon by the American physicist a ...
.A Conversation with Ramanathan Gnanadesikan
Jon R. Kettenring and Ramanathan Gnanadesikan Statistical Science, Vol. 16, No. 3 (Aug. 2001), pp. 295-309 Published by: Institute of Mathematical Statistics Quote: ''What do I mean by the culture at Bell Labs? As Hendrik Wade Bode who wrote a book called Synergy: Technical Integration and Technological Innovation in the Bell System, described it, the essence of success of Bell Labs was the synergy that brought together people of very different skills, very different approaches, experiences and training and who shared a certain value for this interaction across borders.''
As it is clear from the title of the book as well as its contents, he became one of the early exponents of technological
convergence Convergence may refer to: Arts and media Literature *''Convergence'' (book series), edited by Ruth Nanda Anshen *Convergence (comics), "Convergence" (comics), two separate story lines published by DC Comics: **A four-part crossover storyline that ...
, infometrics and
information processing In cognitive psychology, information processing is an approach to the goal of understanding human thinking that treats cognition as essentially Computing, computational in nature, with the mind being the ''software'' and the brain being the ''hard ...
before the terms even existed. In 1974, he retired for the second time and Harvard awarded him the honorary position of
professor emeritus ''Emeritus/Emerita'' () is an honorary title granted to someone who retirement, retires from a position of distinction, most commonly an academic faculty position, but is allowed to continue using the previous title, as in "professor emeritus". ...
. He, nevertheless, kept his office at Harvard and continued working from there, mainly as an advisor to government on policy matters.


Academic and professional distinctions

Bode received awards, honours and professional distinctions.


Academic medals and awards

In 1960 he received the Ernest Orlando Lawrence Award. In 1969,
IEEE The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) organization, 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE ...
awarded him the renowned Edison Medal for "''fundamental contributions to the arts of communication, computation and control; for leadership in bringing mathematical science to bear on engineering problems; and for guidance and creative counsel in systems engineering''", a tribute that eloquently summarized the wide spectrum of his innovative contributions to engineering science and applied mathematics as a researcher, and to society as an advisor and professor. In 1975, the
American Society of Mechanical Engineers The American Society of Mechanical Engineers (ASME) is an American professional association that, in its own words, "promotes the art, science, and practice of multidisciplinary engineering and allied sciences around the globe" via "continuing edu ...
awarded him the Rufus Oldenburger Medal citing: "''In recognition of his attainments in advancing the science and technology of automatic control and particularly for his development of frequency domain techniques that are widely used in the design of feedback control systems.''" In 1979, he became the first recipient of the Richard E. Bellman Control Heritage Award from the American Automatic Control Council. The award is given to researchers with "distinguished career contributions to the theory or applications of
automatic control Automation describes a wide range of technologies that reduce human intervention in processes, mainly by predetermining decision criteria, subprocess relationships, and related actions, as well as embodying those predeterminations in machine ...
", and "it is the highest recognition of professional achievement for US
control system A control system manages, commands, directs, or regulates the behavior of other devices or systems using control loops. It can range from a single home heating controller using a thermostat controlling a domestic boiler to large industrial ...
s engineers and scientists".
Posthumous Posthumous may refer to: * Posthumous award, an award, prize or medal granted after the recipient's death * Posthumous publication, publishing of creative work after the author's death * Posthumous (album), ''Posthumous'' (album), by Warne Marsh, 1 ...
ly, in 1989, the IEEE Control Systems Society established the Hendrik W. Bode Lecture Prize in order to: ''recognize distinguished contributions to control systems science or engineering.''Hendrik W. Bode Lecture Prize


Memberships to academic organizations and government committees

He was also a member or
fellow A fellow is a title and form of address for distinguished, learned, or skilled individuals in academia, medicine, research, and industry. The exact meaning of the term differs in each field. In learned society, learned or professional society, p ...
in a number of scientific and engineering societies such as the
IEEE The Institute of Electrical and Electronics Engineers (IEEE) is an American 501(c)(3) organization, 501(c)(3) public charity professional organization for electrical engineering, electronics engineering, and other related disciplines. The IEEE ...
,
American Physical Society The American Physical Society (APS) is a not-for-profit membership organization of professionals in physics and related disciplines, comprising nearly fifty divisions, sections, and other units. Its mission is the advancement and diffusion of ...
,
Society for Industrial and Applied Mathematics Society for Industrial and Applied Mathematics (SIAM) is a professional society dedicated to applied mathematics, computational science, and data science through research, publications, and community. SIAM is the world's largest scientific soci ...
and the
American Academy of Arts and Sciences The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States. It was founded in 1780 during the American Revolution by John Adams, John Hancock, James Bowdoin, Andrew Oliver, and other ...
, an independent American Academy, that is not part of the U.S.
National Academies A national academy is an organizational body, usually operating with state financial support and approval, that co-ordinates scholarly research activities and standards for academic disciplines, and serves as a public policy advisors, research ins ...
.Memorial tributes By National Academy of Engineering
p. 53
In 1957, he was elected member to the
National Academy of Sciences The National Academy of Sciences (NAS) is a United States nonprofit, NGO, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the ...
, the oldest and most prestigious U.S. National Academy established at the height of the
Civil War A civil war is a war between organized groups within the same Sovereign state, state (or country). The aim of one side may be to take control of the country or a region, to achieve independence for a region, or to change government policies.J ...
, in 1863, by then President
Abraham Lincoln Abraham Lincoln (February 12, 1809 – April 15, 1865) was the 16th president of the United States, serving from 1861 until Assassination of Abraham Lincoln, his assassination in 1865. He led the United States through the American Civil War ...
.


COSPUP

From 1967 to 1971, he served as a member of the Council of the National Academy of Sciences. At the same time he served as the representative of the Academy's Engineering section on the Committee on Science and Public Policy (COSPUP). Being a deep thinker as well as a lucid writer he significantly contributed to three important COSPUP studies: ''Basic Research and National Goals (1965)'', ''Applied Science and Technological Progress (1967)'' and ''Technology: Processes of Assessment and Choice (1969)''. These studies had the additional distinction of being the first ever to be prepared by the Academy for the
Legislative Branch A legislature (, ) is a deliberative assembly with the authority, legal authority to make laws for a Polity, political entity such as a Sovereign state, country, nation or city on behalf of the people therein. They are often contrasted with th ...
, or more specifically for the Committee on Science and
Astronautics Astronautics (or cosmonautics) is the practice of sending spacecraft beyond atmosphere of Earth, Earth's atmosphere into outer space. Spaceflight is one of its main applications and space science is its overarching field. The term ''astronautics' ...
of the U.S. House of Representatives, thus fulfilling the Academy's mandate, under its Charter, as an advisory body to the U.S. Government.


Special Committee on Space Technology

The predecessor of
NASA The National Aeronautics and Space Administration (NASA ) is an independent agencies of the United States government, independent agency of the federal government of the United States, US federal government responsible for the United States ...
was NACA.
NACA The National Advisory Committee for Aeronautics (NACA) was a United States federal agency that was founded on March 3, 1915, to undertake, promote, and institutionalize aeronautical research. On October 1, 1958, the agency was dissolved and its ...
's Special Committee on Space Technology also called the Stever Committee, after its chairman Guyford Stever, was a special steering committee that was formed with the mandate to coordinate various branches of the Federal government, private companies as well as universities within the United States with NACA's objectives and also harness their expertise in order to develop a space program. Committee members included: Bode and Wernher von Braun the father of the US space program. It is a historical irony that Hendrik Wade Bode, the man who helped develop the robot weapons that brought down the Nazi
V-1 flying bomb The V-1 flying bomb ( "Vengeance Weapon 1") was an early cruise missile. Its official Reich Aviation Ministry () name was Fieseler Fi 103 and its suggestive name was (hellhound). It was also known to the Allies as the buzz bomb or doodlebug a ...
s over London during World War II, was actually serving in the same committee and sitting at the same table as Wernher von Braun who worked on the development of the V-1 and was the head of the team which developed the V-2, the weapon that terrorised London.


Hobbies and family life

Bode was an avid reader in his spare time. He also co-wrote with his wife Barbara a fictional story ''Counting House'', which was published by ''
Harper's Magazine ''Harper's Magazine'' is a monthly magazine of literature, politics, culture, finance, and the arts. Launched in New York City in June 1850, it is the oldest continuously published monthly magazine in the United States. ''Harper's Magazine'' has ...
'' in August 1936.Counting house
from Harper's archive.
Bode also enjoyed
boating Boating is the leisurely activity of travelling by boat, or the recreational use of a boat whether powerboats, sailboats, or man-powered vessels (such as rowing and paddle boats), focused on the travel itself, as well as sports activities, suc ...
. Early on in his career, while working for Bell Labs in New York, he sailed a boat on
Long Island Sound Long Island Sound is a sound (geography), marine sound and tidal estuary of the Atlantic Ocean. It lies predominantly between the U.S. state of Connecticut to the north and Long Island in New York (state), New York to the south. From west to east, ...
. After World War II, he explored the upper reaches of the
Chesapeake Bay The Chesapeake Bay ( ) is the largest estuary in the United States. The bay is located in the Mid-Atlantic (United States), Mid-Atlantic region and is primarily separated from the Atlantic Ocean by the Delmarva Peninsula, including parts of the Ea ...
near the eastern shore of
Maryland Maryland ( ) is a U.S. state, state in the Mid-Atlantic (United States), Mid-Atlantic region of the United States. It borders the states of Virginia to its south, West Virginia to its west, Pennsylvania to its north, and Delaware to its east ...
with a converted surplus landing craft ( LCT) he had bought. He also enjoyed gardening and
do-it-yourself "Do it yourself" ("DIY") is the method of building, modifying, or repairing things by oneself without the direct aid of professionals or certified experts. Academic research has described DIY as behaviors where "individuals use raw and semi- ...
projects. He was married to Barbara Bode ( nee Poore). Together they had two children: Dr. Katharine Bode Darlington and Mrs. Anne Hathaway Bode Aarnes.


Engineering legacy

Bode, despite all the high distinctions he received, both from academia and government, did not rest on his laurels. He believed that engineering, as an institution, deserved a place in the Pantheon of
academia An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of tertiary education. The name traces back to Plato's school of philosophy, founded approximately 386 BC at Akademia, a sanctuary of Athena, the go ...
as much as science did. With typical engineering resourcefulness he solved the problem by helping create another academy. He is among the founding members and served as a regular
member Member may refer to: * Military jury, referred to as "Members" in military jargon * Element (mathematics), an object that belongs to a mathematical set * In object-oriented programming, a member of a class ** Field (computer science), entries in ...
of the
National Academy of Engineering The National Academy of Engineering (NAE) is an American Nonprofit organization, nonprofit, NGO, non-governmental organization. It is part of the National Academies of Sciences, Engineering, and Medicine (NASEM), along with the National Academ ...
, that was created in December 1964, only the second U.S. National Academy in 101 years since the inception of the first, and which now forms part of the
United States National Academies The National Academies of Sciences, Engineering, and Medicine (NASEM), also known as the National Academies, is a congressionally chartered organization that serves as the collective scientific national academy of the United States. The name i ...
.National Academies website
He thus helped sublimate the age-old debate of engineers against scientists and elevated it into a debate between academics. This subtle, yet powerfully symbolic accomplishment, constitutes a compelling part of his legacy. Hendrik Wade Bode died at the age of 76, at his home in
Cambridge, Massachusetts Cambridge ( ) is a city in Middlesex County, Massachusetts, United States. It is a suburb in the Greater Boston metropolitan area, located directly across the Charles River from Boston. The city's population as of the 2020 United States census, ...
.


Publications

*''Network Analysis and Feedback Amplifier Design'' (1945) *''Synergy: Technical Integration and Technological Innovation in the
Bell System The Bell System was a system of telecommunication companies, led by the Bell Telephone Company and later by the AT&T Corporation, American Telephone and Telegraph Company (AT&T), that dominated the telephone services industry in North America fo ...
'' (1971) *Counting house
/span> (Fiction) Hendrik W. (Hendrik Wade) Bode and Barbara Bode ''
Harper's Magazine ''Harper's Magazine'' is a monthly magazine of literature, politics, culture, finance, and the arts. Launched in New York City in June 1850, it is the oldest continuously published monthly magazine in the United States. ''Harper's Magazine'' has ...
'' The Lion's mouth dept. pp. 326–329, August 1936
/span>


Research papers at Bell Labs


H. W. Bode ''A Method of Impedance Correction Bell System Technical Journal, v9: 1930''H. W. Bode ''A General Theory of Electric Wave Filters Bell System Technical Journal, v14: 1935''H. W. Bode and R. L. Dietzold ''Ideal Wave Filters Bell System Technical Journal, v14: 1935''H. W. Bode ''Variable Equalizers Bell System Technical Journal, v17: 1938''H. W. Bode ''Relations Between Attenuation and Phase in Feedback Amplifier Design Bell System Technical Journal, v19: 1940''


US patents granted

Twenty five patents were issued by the U.S. Patent Office to Bode for his inventions. The patents covered areas such as
data transmission Data communication, including data transmission and data reception, is the transfer of data, signal transmission, transmitted and received over a Point-to-point (telecommunications), point-to-point or point-to-multipoint communication chann ...
networks,
electronic filter Electronic filters are a type of signal processing filter in the form of electrical circuits. This article covers those filters consisting of lumped-element model, lumped electronic components, as opposed to distributed-element filters. That ...
s, amplifiers, averaging mechanisms, data smoothing networks and
artillery Artillery consists of ranged weapons that launch Ammunition, munitions far beyond the range and power of infantry firearms. Early artillery development focused on the ability to breach defensive walls and fortifications during sieges, and l ...
computers.


See also

*
Amplifier An amplifier, electronic amplifier or (informally) amp is an electronic device that can increase the magnitude of a signal (a time-varying voltage or current). It is a two-port electronic circuit that uses electric power from a power su ...
*
Analogue filter Analogue filters are a basic building block of signal processing much used in electronics. Amongst their many applications are the separation of an audio signal before application to bass, mid-range, and tweeter loudspeakers; the combining and ...
* Immittance *
Innovation (signal processing) In time series analysis (or forecasting) — as conducted in statistics, signal processing, and many other fields — the innovation is the difference between the observed value of a variable at time ''t'' and the optimal forecast of that value bas ...
* Lattice network


References


Cited references


General references


National Academy of Engineering websiteHendrik W. Bode Lecture Prize from the IEEE Control Systems SocietyHendrik W. Bode from the IEEE History Center
{{DEFAULTSORT:Bode, Hendrik Wade 1905 births 1982 deaths 20th-century American mathematicians American electrical engineers 20th-century American physicists American control theorists Columbia University alumni Founding members of the United States National Academy of Engineering Harvard John A. Paulson School of Engineering and Applied Sciences faculty IEEE Edison Medal recipients Members of the United States National Academy of Sciences Ohio State University College of Arts and Sciences alumni Richard E. Bellman Control Heritage Award recipients Scientists at Bell Labs Fellows of the IEEE Fellows of the American Physical Society Fellows of the Society for Industrial and Applied Mathematics Fellows of the American Academy of Arts and Sciences 20th-century American engineers Ohio State University Graduate School alumni