Title :
Optimal frequency domain design of two-dimensional digital IIR filters
Author :
Polala, S. ; Shaw, Arnab K.
Author_Institution :
Dept. of Electr. Eng., Wright State Univ., Dayton, OH, USA
Abstract :
A least-squares technique is presented for designing quarter-plane separable-denominator 2-D IIR filters to best approximate prescribed frequency domain (FD) specification. It is shown that the FD error vector is linearly related to the 2-D numerator coefficients whereas the relationship with the 2-D denominators is quasi-linear. Furthermore, the numerator and denominator estimation problems are theoretically decoupled. The quasi-linear relationship is used to formulate an algorithm for iterative estimation of the denominator. The numerator is found in one step using the estimated denominator. Computer simulations show the effectiveness of the proposed method and its superior performance compared to several existing methods
Keywords :
IIR filters; circuit optimisation; error analysis; filtering theory; frequency-domain synthesis; iterative methods; least squares approximations; two-dimensional digital filters; 2-D IIR filters; 2-D denominators; 2-D numerator coefficients; computer simulations; denominator estimation; frequency domain error vector; frequency domain specification; iterative estimation algorithm; least-squares technique; numerator estimation; optimal frequency domain design; performance; quarter-plane separable-denominator; quasi-linear relationship; two-dimensional digital IIR filters; Computer simulation; Design methodology; Design optimization; Estimation theory; Frequency domain analysis; Frequency response; IIR filters; Iterative algorithms; Optimization methods; Stability;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1995. ICASSP-95., 1995 International Conference on
Conference_Location :
Detroit, MI
Print_ISBN :
0-7803-2431-5
DOI :
10.1109/ICASSP.1995.479896
