DocumentCode :
1500473
Title :
A new eigenfilter based on total least squares error criterion
Author :
Pei, Soo-Chang ; Tseng, Chien-Cheng
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
Volume :
48
Issue :
6
fYear :
2001
fDate :
6/1/2001 12:00:00 AM
Firstpage :
699
Lastpage :
709
Abstract :
In this paper, a new eigenfilter based on total least squares error criterion is investigated. The filter coefficients are obtained from the elements of the eigenvector corresponding to minimum eigenvalue of a real, symmetric and positive definite matrix. Four features of the new method are given. First, the computation of filter coefficients of the new eigenfilter is more numerically stable than that of the least-squares method whose solution is obtained by solving matrix inverse. Second, the new eigenfilter does not need a reference frequency point for normalization as done in traditional eigenfilter. Third, the solution of the new eigenfilter is closer to the solution of the least-squares method than that of the conventional eigenfilter. Fourth, the proposed method is easy to incorporate with linear constraints and can be extended to design equiripple and two dimensional linear phase filters. Several design examples are used to illustrate the effectiveness of this new design approach
Keywords :
FIR filters; eigenvalues and eigenfunctions; equiripple filters; least squares approximations; linear phase filters; eigenfilter; equiripple; filter coefficients; linear constraints; positive definite matrix; total least squares error criterion; two dimensional linear phase; Chebyshev approximation; Computer errors; Eigenvalues and eigenfunctions; Finite impulse response filter; Frequency; Least squares methods; Linear programming; Minimax techniques; Nonlinear filters; Symmetric matrices;
fLanguage :
English
Journal_Title :
Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on
Publisher :
ieee
ISSN :
1057-7122
Type :
jour
DOI :
10.1109/81.928153
Filename :
928153
Link To Document :
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