Title :
2-D FIR eigenfilters: a least-squares approach
Author :
Pei, Soo-Chang ; Shyu, Jong-Jy
Author_Institution :
Dept. of Electr. Eng., Nat. Taiwan Univ., Taipei, Taiwan
fDate :
1/1/1990 12:00:00 AM
Abstract :
The 1-D eigenfilter approach is extended to the design of 2-D FIR (finite-impulse-response) filters. By minimizing a quadratic measure of the error in the 2-D frequency band, an eigenvector of an appropriate matrix is computed to obtain the filter coefficients. The method is not only simple but also is optimal in the least-squares sense. Several numerical design examples for arbitrarily shaped 2-D filters are used to illustrate the effectiveness of the approach
Keywords :
band-pass filters; eigenvalues and eigenfunctions; filtering and prediction theory; least squares approximations; low-pass filters; network synthesis; two-dimensional digital filters; FIR eigenfilters; band-pass type; eigenvector; filter coefficients; finite-impulse-response; least-squares approach; low-pass type; Design methodology; Digital filters; Eigenvalues and eigenfunctions; Error correction; Finite impulse response filter; Frequency measurement; Low pass filters; Passband; Shape; Symmetric matrices;
Journal_Title :
Circuits and Systems, IEEE Transactions on
