Steady-state performance limitations of subband adaptive filters

S. Weiss, A. Stenger, R.W. Stewart, R. Rabenstein

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


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 modulated 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
Original languageEnglish
Pages (from-to)1982-1991
Number of pages10
JournalIEEE Transactions on Signal Processing
Issue number9
Publication statusPublished - Sep 2001


  • adaptive filters
  • adaptive signal processing
  • fourier transforms
  • filtering theory
  • signal reconstruction
  • steady-state
  • performance limitations
  • subband


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