Title :
Perfect-reconstruction filter banks having linear-phase FIR filters with equiripple response
Author :
Yang, Shih-Jen ; Lee, Ju-Hong ; Chieu, Bin-Chang
Author_Institution :
Dept. of Electron. Eng. & Technol., Nat. Taiwan Inst. of Technol., Taipei, Taiwan
fDate :
12/1/1998 12:00:00 AM
Abstract :
The design of equiripple linear-phase analysis and synthesis FIR filters of two-channel perfect-reconstruction (PR) filter banks is formulated as the minimization of a weighted peak-error under both linear inequality (arising from the desired responses of the analysis filters) and nonlinear equality (PR) constraints. The effectiveness of a proposed method to solve the design problem (a modified dual-affine scaling variant of Karmarkar´s (1989) algorithm and an approximation scheme) is illustrated through several design examples
Keywords :
FIR filters; approximation theory; channel bank filters; equiripple filters; linear phase filters; minimisation; network synthesis; signal reconstruction; Karmarkar´s algorithm; analysis filters; approximation scheme; equiripple response; linear inequality constraint; linear-phase FIR filters; modified dual-affine scaling; nonlinear equality constraint; perfect-reconstruction filter banks; synthesis filters; weighted peak-error minimization; Algorithm design and analysis; Approximation algorithms; Channel bank filters; Design optimization; Filter bank; Finite impulse response filter; Image coding; Lattices; Minimax techniques; Nonlinear filters;
Journal_Title :
Signal Processing, IEEE Transactions on