Design of multichannel QMF banks via frequency-domain optimizations
Design of uniform multirate filter banks is studied via frequency domain optimizations. Efficient and reliable design algorithms are developed using state-space computations. In our approach, analysis filter banks are designed to achieve frequency-domain specifications dictated by subband coding requirements, and synthesis filter banks are designed to minimize the reconstruction error in frequency domain under the constraint of zero-aliasing error. The design criterion is chosen to be the H∞ or Chebyshev norm. A state-space solution is derived for H∞ optimization, and numerical algorithms are developed to obtain the optimal-synthesis filter bank. Moreover, the asymptotic perfect reconstruction property (in the sense that time-delay approaches to infinity) is established for the optimal H∞ solution of the synthesis filter bank. The results in this paper generalize our earlier work for the two-channel case to the M-channel case.
Publication Source (Journal or Book title)
IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing
Huang, J., Gu, G., & Shenoi, B. (1999). Design of multichannel QMF banks via frequency-domain optimizations. IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 46 (5), 599-607. https://doi.org/10.1109/82.769808