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Franklin F. Kuo. Franklin F. Kuo (born April 22, 1934) was a professor in many universities — Polytechnic Institute of Brooklyn, University of Hawaii, Stanford University, Jiao Tong University and University of Mannheim. He is the author of 8 books in network theory and on computer network communications. For over 40 years, he was a ...
Network synthesis. Network synthesis is a design technique for linear electrical circuits. Synthesis starts from a prescribed impedance function of frequency or frequency response and then determines the possible networks that will produce the required response. The technique is to be compared to network analysis in which the response (or other ...
In electrical engineering and electronics, a network is a collection of interconnected components. Network analysis is the process of finding the voltages across, and the currents through, all network components. There are many techniques for calculating these values; however, for the most part, the techniques assume linear components.
The method can be viewed as the inverse problem of network analysis. Network analysis starts with a network and by applying the various electric circuit theorems predicts the response of the network. Network synthesis on the other hand, starts with a desired response and its methods produce a network that outputs, or approximates to, that response.
Positive-real functions, often abbreviated to PR function or PRF, are a kind of mathematical function that first arose in electrical network synthesis. They are complex functions, Z ( s ), of a complex variable, s. A rational function is defined to have the PR property if it has a positive real part and is analytic in the right half of the ...
Filter bank. In signal processing, a filter bank (or filterbank) is an array of bandpass filters that separates the input signal into multiple components, each one carrying a sub-band of the original signal. [1] One application of a filter bank is a graphic equalizer, which can attenuate the components differently and recombine them into a ...
Initially, computers were used as an aid to network analysis then to optimization methods such as the minimax method, in the design of phase equalizers and filters), before being applied to network synthesis directly. Overviews of the software developments in the field of synthesis have been given in Taylor & Huang and Kuo.
Foster's reactance theorem. Foster's reactance theorem is an important theorem in the fields of electrical network analysis and synthesis. The theorem states that the reactance of a passive, lossless two-terminal ( one-port) network always strictly monotonically increases with frequency. It is easily seen that the reactances of inductors and ...