A direct approach to the design of QMF banks via frequency domainoptimization

Authors:
Jian Huang;Guoxiang Gu
Affiliations:
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA;-
Venue:
IEEE Transactions on Signal Processing
Year:
1998

Citing 0
Cited 3

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Abstract

This paper studies the design of quadrature mirror filter (QMF) banks via frequency domain optimization. A direct approach is adopted that gives the necessary and sufficient condition for perfect reconstruction (PR). While analysis filter banks are designed to achieve frequency domain specifications required for subband coding, synthesis filter banks are designed to minimize the reconstruction error in frequency domain. The criterion used to measure the reconstruction error is H∞ or Chebyshev norm (sup-norm). State-space solutions are derived for the H∞ optimization, and numerical algorithms are developed to obtain the optimal synthesis filter bank. Moreover, the asymptotic PR property is established for optimal H∞ solution of the synthesis filter bank