Title :
A direct approach to the design of QMF banks via frequency domain optimization
Author :
Huang, Jian ; Gu, Guoxiang
Author_Institution :
Dept. of Electr. & Comput. Eng., Louisiana State Univ., Baton Rouge, LA, USA
fDate :
8/1/1998 12:00:00 AM
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
Keywords :
FIR filters; H∞ optimisation; IIR filters; band-pass filters; circuit optimisation; encoding; filtering theory; frequency-domain synthesis; network synthesis; quadrature mirror filters; signal reconstruction; state-space methods; Chebyshev norm; FIR filter; H∞ norm; H∞ optimization; IIR filter; QMF banks design; asymptotic perfect reconstruction property; direct approach; frequency domain optimization; necessary condition; numerical algorithms; optimal synthesis filter bank; quadrature mirror filter; reconstruction error minimisation; state-space solutions; subband coding; sufficient condition; Chebyshev approximation; Design optimization; Filter bank; Frequency domain analysis; Mirrors; Nonlinear filters; Signal processing algorithms; Signal synthesis; Sufficient conditions; Transfer functions;
Journal_Title :
Signal Processing, IEEE Transactions on
