The essence of network synthesis is to start with a required filter response and produce a network that delivers that response, or approximates to it within a specified boundary.
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Whereas network analysis asks what is the response of a given network, network synthesis on the other hand asks what are the networks that can produce a given desired response.
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His paper, " A reactance theorem ", is a milestone in filter theory and inspired Cauer to generalise this approach into what has now become the field of network synthesis.
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Process Network Synthesis uses a bipartite graph method P-graph and employs combinatorial rules to find all feasible network solutions ( maximum structure ) and links raw materials to desired products related to the given problem.
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Process Network Synthesis uses a bipartite graph method p-graph and employs combinatorial rules to find all feasible network solutions ( maximum structure ) and links raw materials to desired products related to the given problem.
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Graph theory is at its most powerful in network synthesis when the elements of the network can be represented by real numbers ( one-element-kind networks such as resistive networks ) or binary states ( such as switching networks ).
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Darlington's discovery of ways to custom-design circuits using precise mathematical specifications, a specialty now called network synthesis theory, made him the leading authority in electronic circuits for decades, said Dr . Ernest Kuh, a former colleague who is now at the University of California at Berkeley.
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This work was the basis on which network synthesis was built, although Cauer's work was not at first used much by engineers, partly because of the intervention of World War II, partly for reasons explained in the next section and partly because Cauer presented his results using topologies that required mutually coupled inductors and ideal transformers.
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For example, for filters with ripple in the passband, the corner frequency is usually defined as the highest frequency at maximum image parameter filters ( an older design method than the more modern network synthesis filters ) which use the cut-off frequency rather than the 3 dB point since cut-off is a well-defined point in this type of filter.
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