Steady-state performance limitations of subband adaptive filters

Weiß S, Stenger A, Stewart RW, Rabenstein R (2001)


Publication Status: Published

Publication Type: Journal article, Original article

Publication year: 2001

Journal

Publisher: Institute of Electrical and Electronics Engineers (IEEE)

Book Volume: 49

Pages Range: 1982-1991

Journal Issue: 9

DOI: 10.1109/78.942627

Abstract

Nonperfect filterbanks used for subband adaptive filtering (SAF) are known to impose limitations on the steady-state performance of such systems. In this paper, we quantify the minimum mean-square error (MMSE) and the accuracy with which the overall SAF system can model an unknown system that it is set to identify. First, in case of MMSE limits, the error is evaluated based on a power spectral density description of aliased signal components, which is accessible via a source model for the subband signals that we derive. Approximations of the MMSE can be embedded in a signal-to-alias ratio (SAR), which is a factor by which the error power can be reduced by adaptive filtering. With simplifications, SAR only depends on the filterbanks. Second, in case of modeling, we link the accuracy of the SAF system to the filterbank mismatch in perfect reconstruction. When using modulated filterbanks, both error limits-MMSE and inaccuracy-can be linked to the prototype. We explicitly derive this for generalized DFT modu lated filterbanks and demonstrate the validity of the analytical error limits and their approximations for a number of examples, whereby the analytically predicted limits of error quantities compare favorably with simulations.

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How to cite

APA:

Weiß, S., Stenger, A., Stewart, R.W., & Rabenstein, R. (2001). Steady-state performance limitations of subband adaptive filters. IEEE Transactions on Signal Processing, 49(9), 1982-1991. https://dx.doi.org/10.1109/78.942627

MLA:

Weiß, S., et al. "Steady-state performance limitations of subband adaptive filters." IEEE Transactions on Signal Processing 49.9 (2001): 1982-1991.

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