DocumentCode :
1550934
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
Volume :
45
Issue :
9
fYear :
1997
fDate :
9/1/1997 12:00:00 AM
Firstpage :
2380
Lastpage :
2387
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;
fLanguage :
English
Journal_Title :
Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
1053-587X
Type :
jour
DOI :
10.1109/78.622961
Filename :
622961
Link To Document :
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