TY - JOUR
T1 - Design of linear phase M-channel perfect reconstruction FIR filter banks
AU - Nagai, Takayuki
AU - Fuchie, Takaaki
AU - Ikehara, Masaaki
PY - 1997/9
Y1 - 1997/9
N2 - 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 highpass 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.
AB - 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 highpass 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.
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U2 - 10.1109/78.622961
DO - 10.1109/78.622961
M3 - Article
AN - SCOPUS:0031237617
VL - 45
SP - 2380
EP - 2387
JO - IEEE Transactions on Acoustics, Speech, and Signal Processing
JF - IEEE Transactions on Acoustics, Speech, and Signal Processing
SN - 1053-587X
IS - 9
ER -