Subband adaptive filtering: The mutual wavelet packets approach

The authors present a scheme for subband adaptive filtering, where the subband decomposition is performed using a novel mutual wavelet packets decomposition scheme. They contrast the performance and algorithmic complexity of this new structure to that of regular subband adaptive filtering and point out its usefulness in achieving better filtering performance. The use of this mutual wavelet packets decomposition allows the partitioning of the frequency axis into nonuniform subbands adapted to the spectral content of the signals to be filtered. A criterion maximizing the cross-correlation between the signals is proposed for this purpose. Simulations on both synthetic and real signals confirmed the improvement achieved in performance.<>