On the optimality of subband adaptive filters

Weiss, Stephan and Stewart, Robert (1999) On the optimality of subband adaptive filters. In: Proceedings of the IEEE Workshop on Applications of Signal Processing to Audio and Acoustics, 1999. IEEE, New York, pp. 59-62. ISBN 0-7803-5612-8

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Abstract

In this paper, we derive a polyphase analysis to determine the optimum filters in a subband adaptive filter (SAF) system. The structure of this optimum solution deviates from the standard SAF approach and presents its best possible solution only as an approximation. Besides this new insight into SAF error sources, the discussed analysis allows to calculate the optimum subband responses and the standard SAF approximation. Examples demonstrating the validity of our analysis and its use for determining SAF errors are presented.