Ranges of allowable component values for the synthesis of specified RC transfer functions
Lillis, Jack Warner
Parker, Sydney R.
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The theory of continuants is applied to the analysis of general ladder networks of the first Cauer form to provide a concise, compact, and readily calculable form for the driving point and transfer functions used to describe the network. A new procedure is established for the synthesis of RC ladder networks up to nth order from a given voltage-ratio transfer function. Ranges of values for the network components are shown to exist. The procedure is readily adaptable for use with a digital computer. Two programs written in FORTAN 63 language are provided for a third order system to illustrate how the procedure can be used with a digital computer for computer-aided design of the networks. Output of the programs is in the form of graphs and tables of component values
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