Title
A direct approach to the design of QMF banks via frequency domain optimization
Document Type
Article
Publication Date
12-1-1998
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 W, or Chebyshev norm (sup-norm). State-space solutions are derived for the Ti-oo optimization, and numerical algorithms are developed to obtain the optimal synthesis filter bank. Moreover, the asymptotic PR property is established for optimal Hoc, solution of the synthesis filter bank. ©1998 IEEE.
Publication Source (Journal or Book title)
IEEE Transactions on Signal Processing
First Page
2131
Last Page
2138
Recommended Citation
Huang, J., & Gu, G. (1998). A direct approach to the design of QMF banks via frequency domain optimization. IEEE Transactions on Signal Processing, 46 (8), 2131-2138. https://doi.org/10.1109/78.705424