Title :
2D FIR eigenfilters
Author :
Nashashibi, Adib ; Charalambous, Christakis
Author_Institution :
Dept. of Electr. & Comput. Eng., Kuwait Univ., Safat, Kuwait
Abstract :
A novel method for designing linear-phase two-dimensional (2D) FIR (finite impulse response) digital filters is presented. The method is based on minimizing an appropriately defined least-squares error function taken over the continuous passband and stopband frequency regions. The optimization problem reduces to that of computing the eigenvector corresponding to the minimum eigenvalue of a real symmetric and positive definite matrix. For symmetric fan filters, a closed-form solution is obtained that leads to a simple design procedure for this class of filters. The design method is general enough to incorporate both time- and frequency-domain constraints.<>
Keywords :
eigenvalues and eigenfunctions; least squares approximations; minimisation; network synthesis; two-dimensional digital filters; FIR eigenfilters; closed-form solution; continuous passband; eigenvalue; eigenvector; filter design; frequency-domain constraints; least-squares error function; linearphase 2-D FIR digital filters; minimization; optimization problem; stopband frequency; symmetric fan filters; time domain constraint; Design methodology; Digital filters; Eigenvalues and eigenfunctions; Finite impulse response filter; Frequency response; Least squares methods; Nonlinear filters; Passband; Symmetric matrices; Two dimensional displays;
Conference_Titel :
Circuits and Systems, 1988., IEEE International Symposium on
Conference_Location :
Espoo, Finland
DOI :
10.1109/ISCAS.1988.15102
