Title :
FIR filter design 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
Abstract :
In this paper, an FIR filter design 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. This design is not only optimal in total least squares error sense, it is also easy to incorporate linear constraints in time and frequency domain. Several design examples are used to illustrate the effectiveness of this new design approach
Keywords :
FIR filters; filtering theory; least squares approximations; linear phase filters; FIR filter design; TLS error criterion; eigenvector; filter coefficients; linear constraint; positive definite matrix; symmetric matrix; total least squares error criterion; Computer errors; Eigenvalues and eigenfunctions; Finite impulse response filter; Frequency domain analysis; Least squares methods; Linear programming; Minimax techniques; Nonlinear filters; Symmetric matrices; Vectors;
Conference_Titel :
Circuits and Systems, 1999. ISCAS '99. Proceedings of the 1999 IEEE International Symposium on
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-5471-0
DOI :
10.1109/ISCAS.1999.778840
