Sc. Pei et Jj. Shyu, GENERAL-FORM FOR DESIGNING 2-DIMENSIONAL QUADRANTALLY SYMMETRICAL LINEAR-PHASE FIR DIGITAL-FILTERS BY ANALYTICAL LEAST-SQUARES METHOD, Signal processing, 48(2), 1996, pp. 165-174
The analytical least-squares method has been generalized and extended
for designing 16 types of two-dimensional FIR filters with quadrantall
y symmetric or antisymmetric frequency responses. By means of a closed
-form transformation matrix, this fast design method can determine the
filter's coefficients very effectively without a recourse to an itera
tive optimization technique or matrix inversion, Design examples are p
resented to illustrate the simplicity and efficiency of the proposed m
ethod.