Synthesis of recursive digital filters using the minimum p-error criterion
- 1 October 1972
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Audio and Electroacoustics
- Vol. 20 (4) , 257-263
- https://doi.org/10.1109/tau.1972.1162392
Abstract
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 minimump- error criterion, a new problem of minimizing a function ofnvariables 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.Keywords
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