New Subband Adaptive IIR Filter Based On Polyphase Decomposition

We present a subband adaptive infinite-impulse response (IIR) filtering method, which is based on a polyphase decomposition of IIR filter. Motivated by the fact that the polyphase structure has benefits in terms of convergence rate and stability, we introduce the polyphase decomposition to subband IIR filtering, i.e., in each subband high order IIR filter is decomposed into polyphase IIR filters with lower order. Computer simulations demonstrate that the proposed method has improved convergence rate over conventional IIR filters.

• Young-Seok Choi

• Subband adaptive filter
• IIR filtering. Polyphase decomposition.

[1] J. J. Shynk, "Adaptive IIR filtering,” IEEE Acoust., Speech, Signal Processing Mag., vol. 6, pp. 4-21, April 1989.
[2] N. Bershad and P. Feintuch, "The recursive adaptive LMS filter,” IEEE trans. Acoust., Speech, Signal Processing, vol, 28, pp. 650-660, Dec 1980.
[3] Phillip M. S. Burt and M. Gerken, "A Polyphase IIR Adaptive Filter,” IEEE Trans. Circuits and System-II, vol. 49, pp. 356-359, May 2002.
[4] R. Lopez-Valcarce, C. Mosquera and F. Perez-Gonzalez, "Hyperstable Adaptive IIR Algorithm with Polyphase structure,” IEEE Trans. Signal Processing, vol. 47, pp. 2043-2046, July 1999.
[5] A. Gilloire and M. Vetteli, "Adaptive Filtering in Subbands with Critical Sampling: Analysis, Experiments, and Application to Acoustic Echo Cancellation,” IEEE Trans. Signal Processing, vol. 40, pp. 1862-1875, Aug. 1992.
[6] S. S. Pradhan and V. U. Reddy, "A New Approach to Subband Adaptive Filtering,” IEEE Trans. Signal Processing, vol. 47, pp. 655-664, March 1999.