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Synthesis of recursive digital filters using the minimum p-error criterion

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1 Author(s)
Deczky, A. ; Swiss Federal Institute of Technology, Zurich, Switzerland

The problem of designing a stable recursive digital filter to have an arbitrarily prescribed frequency response may be considered as an approximation problem. Using the minimum p - error criterion, a new problem of minimizing a function of n variables results, which is successfully solved using the Fletcher-Powell algorithm. An important theorem guaranteeing the existence of a stable optimum for a large class of synthesis problems is stated, and necessary modifications to the Fletcher-Powell algorithm to assure stability are considered. Finally a number of results of the application of this method are given.

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Audio and Electroacoustics, IEEE Transactions on  (Volume:20 ,  Issue: 4 )