Title :
Design of linear phase M-channel perfect reconstruction FIR filter banks
Author :
Nagai, Takayuki ; Fuchie, Takaaki ; Ikehara, Masaaki
Author_Institution :
Dept. of Electr. Eng., Keio Univ., Yokohama, Japan
fDate :
9/1/1997 12:00:00 AM
Abstract :
We propose two approaches to design M channel nonparaunitary filter banks that satisfy perfect reconstruction (PR) and linear phase (LP) properties. In the first approach, the PR condition is imposed on only a high-pass filter. Although this method does not require nonlinear optimization, it has a demerit in that the order of a high-pass filter becomes high. In the second approach, two filters are optimized simultaneously using a Lagrange-Newton method. We can design PR filter banks that have the same length. The PR constraint is also formulated as a linear and nonlinear equation of the analysis filter coefficients. Finally, some design examples are included
Keywords :
FIR filters; Newton method; band-pass filters; delay circuits; high-pass filters; optimisation; signal reconstruction; Lagrange-Newton method; analysis filter coefficient; design; filter bank length; high-pass filter; linear equation; linear phase M-channel perfect reconstruction FIR filter banks; nonlinear equation; nonparaunitary filter banks; optimization; Channel bank filters; Design methodology; Design optimization; Digital signal processing; Filter bank; Finite impulse response filter; Lagrangian functions; Nonlinear equations; Nonlinear filters; Optimization methods;
Journal_Title :
Signal Processing, IEEE Transactions on