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Bartlett's Bisection Theorem
Bartlett's bisection theorem is an electrical theorem in network analysis (electrical circuits), network analysis attributed to Albert Charles Bartlett. The theorem shows that any symmetrical two-port network can be transformed into a lattice filter, lattice network. The theorem often appears in filter theory where the lattice network is sometimes known as a filter X-section following the common filter theory practice of naming sections after alphabetic letters to which they bear a resemblance. The theorem as originally stated by Bartlett required the two halves of the network to be topologically symmetrical. The theorem was later extended by Wilhelm Cauer to apply to all networks which were electrically symmetrical. That is, the physical implementation of the network is not of any relevance. It is only required that its response in both halves are symmetrical. Applications Lattice topology filters are not very common. The reason for this is that they require more components ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theorem
In mathematics, a theorem is a statement that has been proved, or can be proved. The ''proof'' of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems. In the mainstream of mathematics, the axioms and the inference rules are commonly left implicit, and, in this case, they are almost always those of Zermelo–Fraenkel set theory with the axiom of choice, or of a less powerful theory, such as Peano arithmetic. A notable exception is Wiles's proof of Fermat's Last Theorem, which involves the Grothendieck universes whose existence requires the addition of a new axiom to the set theory. Generally, an assertion that is explicitly called a theorem is a proved result that is not an immediate consequence of other known theorems. Moreover, many authors qualify as ''theorems'' only the most important results, and use the terms ''lemma'', ''proposition'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Superposition Theorem
The superposition theorem is a derived result of the superposition principle suited to the network analysis of electrical circuits. The superposition theorem states that for a linear system (notably including the subcategory of time-invariant linear systems) the response (voltage or current) in any branch of a bilateral linear circuit having more than one independent source equals the algebraic sum of the responses caused by each independent source acting alone, where all the other independent sources are replaced by their internal impedances. To ascertain the contribution of each individual source, all of the other sources first must be "turned off" (set to zero) by: * Replacing all other independent voltage sources with a short circuit (thereby eliminating difference of potential i.e. ''V''=0; internal impedance of ideal voltage source is zero (short circuit)). * Replacing all other independent current sources with an open circuit (thereby eliminating current i.e. ''I''=0 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Filter Theory
Filter design is the process of designing a signal processing filter that satisfies a set of requirements, some of which may be conflicting. The purpose is to find a realization of the filter that meets each of the requirements to a sufficient degree to make it useful. The filter design process can be described as an optimization problem where each requirement contributes to an error function that should be minimized. Certain parts of the design process can be automated, but normally an experienced electrical engineer is needed to get a good result. The design of digital filters is a deceptively complex topic. Although filters are easily understood and calculated, the practical challenges of their design and implementation are significant and are the subject of advanced research. Typical design requirements Typical requirements which are considered in the design process are: * The filter should have a specific frequency response * The filter should have a specific phase ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Filters
Linear filters process time-varying input signals to produce output signals, subject to the constraint of linearity. In most cases these linear filters are also time invariant (or shift invariant) in which case they can be analyzed exactly using LTI ("linear time-invariant") system theory revealing their transfer functions in the frequency domain and their impulse responses in the time domain. Real-time implementations of such linear signal processing filters in the time domain are inevitably causal, an additional constraint on their transfer functions. An analog electronic circuit consisting only of linear components (resistors, capacitors, inductors, and linear amplifiers) will necessarily fall in this category, as will comparable mechanical systems or digital signal processing systems containing only linear elements. Since linear time-invariant filters can be completely characterized by their response to sinusoids of different frequencies (their frequency response), they are so ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Impedance Matching
In electronics, impedance matching is the practice of designing or adjusting the input impedance or output impedance of an electrical device for a desired value. Often, the desired value is selected to maximize power transfer or minimize signal reflection. For example, impedance matching typically is used to improve power transfer from a radio transmitter via the interconnecting transmission line to the antenna. Signals on a transmission line will be transmitted without reflections if the transmission line is terminated with a matching impedance. Techniques of impedance matching include transformers, adjustable networks of lumped resistance, capacitance and inductance, or properly proportioned transmission lines. Practical impedance-matching devices will generally provide best results over a specified frequency band. The concept of impedance matching is widespread in electrical engineering, but is relevant in other applications in which a form of energy, not necessari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prototype Filter
Prototype filters are electronic filter designs that are used as a template to produce a modified filter design for a particular application. They are an example of a nondimensionalised design from which the desired filter can be scaled or transformed. They are most often seen in regard to electronic filters and especially linear analogue passive filters. However, in principle, the method can be applied to any kind of linear filter or signal processing, including mechanical, acoustic and optical filters. Filters are required to operate at many different frequencies, impedances and bandwidths. The utility of a prototype filter comes from the property that all these other filters can be derived from it by applying a scaling factor to the components of the prototype. The filter design need thus only be carried out once in full, with other filters being obtained by simply applying a scaling factor. Especially useful is the ability to transform from one bandform to another. In t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Impedance Scaling
Prototype filters are electronic filter designs that are used as a template to produce a modified filter design for a particular application. They are an example of a nondimensionalised design from which the desired filter can be scaled or transformed. They are most often seen in regard to electronic filters and especially linear analogue passive filters. However, in principle, the method can be applied to any kind of linear filter or signal processing, including mechanical, acoustic and optical filters. Filters are required to operate at many different frequencies, impedances and bandwidths. The utility of a prototype filter comes from the property that all these other filters can be derived from it by applying a scaling factor to the components of the prototype. The filter design need thus only be carried out once in full, with other filters being obtained by simply applying a scaling factor. Especially useful is the ability to transform from one bandform to another. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 electronic components, as opposed to distributed-element filters. That is, using components and interconnections that, in analysis, can be considered to exist at a single point. These components can be in discrete packages or part of an integrated circuit. Electronic filters remove unwanted frequency components from the applied signal, enhance wanted ones, or both. They can be: * passive or active * analog or digital * high-pass, low-pass, band-pass, band-stop (band-rejection; notch), or all-pass. * discrete-time (sampled) or continuous-time *linear or non-linear * infinite impulse response (IIR type) or finite impulse response (FIR type) The most common types of electronic filters are linear filters, regardless of other aspects of their design. See the article on linear filters for details on their design and analy ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bartlett Impedance Scaling
Bartlett may refer to: Places * Bartlett Bay, Canada, Arctic waterway * Wharerata, New Zealand, also known as Bartletts United States * Bartlett, Illinois ** Bartlett station, a commuter railroad station * Bartlett, Iowa * Bartlett, Kansas * Bartlett, Missouri * Bartlett, Nebraska * Bartlett, New Hampshire, a New England town ** Bartlett (CDP), New Hampshire, a village in the town ** Bartlett Haystack, a mountain * Bartlett, Ohio * Bartlett, Tennessee * Bartlett, Texas * Bartlett, Virginia * Bartlett Creek (other) * Bartlett Peak, a mountain in California * Bartlett Pond (Plymouth, Massachusetts) Other uses * Bartlett (surname) * ''Bartlett'' (TV series) * The Bartlett, the Faculty of the Built Environment at University College London * Bartlett Glacier, in Antarctica * Bartlett pear * ''Bartlett's Familiar Quotations'' or simply ''Bartlett's'' * Bartlett's test In statistics, Bartlett's test, named after Maurice Stevenson Bartlett, is used to test ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bartlett Examples2
Bartlett may refer to: Places * Bartlett Bay, Canada, Arctic waterway * Wharerata, New Zealand, also known as Bartletts United States * Bartlett, Illinois ** Bartlett station, a commuter railroad station * Bartlett, Iowa * Bartlett, Kansas * Bartlett, Missouri * Bartlett, Nebraska * Bartlett, New Hampshire, a New England town ** Bartlett (CDP), New Hampshire, a village in the town ** Bartlett Haystack, a mountain * Bartlett, Ohio * Bartlett, Tennessee * Bartlett, Texas * Bartlett, Virginia * Bartlett Creek (other) * Bartlett Peak, a mountain in California * Bartlett Pond (Plymouth, Massachusetts) Other uses * Bartlett (surname) * ''Bartlett'' (TV series) * The Bartlett, the Faculty of the Built Environment at University College London * Bartlett Glacier, in Antarctica * Bartlett pear * ''Bartlett's Familiar Quotations'' or simply ''Bartlett's'' * Bartlett's test In statistics, Bartlett's test, named after Maurice Stevenson Bartlett, is used to test ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bartlett Examples1
Bartlett may refer to: Places * Bartlett Bay, Canada, Arctic waterway * Wharerata, New Zealand, also known as Bartletts United States * Bartlett, Illinois ** Bartlett station, a commuter railroad station * Bartlett, Iowa * Bartlett, Kansas * Bartlett, Missouri * Bartlett, Nebraska * Bartlett, New Hampshire, a New England town ** Bartlett (CDP), New Hampshire, a village in the town ** Bartlett Haystack, a mountain * Bartlett, Ohio * Bartlett, Tennessee * Bartlett, Texas * Bartlett, Virginia * Bartlett Creek (other) * Bartlett Peak, a mountain in California * Bartlett Pond (Plymouth, Massachusetts) Other uses * Bartlett (surname) * ''Bartlett'' (TV series) * The Bartlett, the Faculty of the Built Environment at University College London * Bartlett Glacier, in Antarctica * Bartlett pear * ''Bartlett's Familiar Quotations'' or simply ''Bartlett's'' * Bartlett's test In statistics, Bartlett's test, named after Maurice Stevenson Bartlett, is used to test ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bartlett2
Bartlett may refer to: Places * Bartlett Bay, Canada, Arctic waterway * Wharerata, New Zealand, also known as Bartletts United States * Bartlett, Illinois ** Bartlett station, a commuter railroad station * Bartlett, Iowa * Bartlett, Kansas * Bartlett, Missouri * Bartlett, Nebraska * Bartlett, New Hampshire, a New England town ** Bartlett (CDP), New Hampshire, a village in the town ** Bartlett Haystack, a mountain * Bartlett, Ohio * Bartlett, Tennessee * Bartlett, Texas * Bartlett, Virginia * Bartlett Creek (other) * Bartlett Peak, a mountain in California * Bartlett Pond (Plymouth, Massachusetts) Other uses * Bartlett (surname) * ''Bartlett'' (TV series) * The Bartlett, the Faculty of the Built Environment at University College London * Bartlett Glacier, in Antarctica * Bartlett pear * ''Bartlett's Familiar Quotations'' or simply ''Bartlett's'' * Bartlett's test In statistics, Bartlett's test, named after Maurice Stevenson Bartlett, is used to test ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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