FAST DESIGN OF 2-D LINEAR-PHASE COMPLEX FIR DIGITAL-FILTERS BY ANALYTICAL LEAST-SQUARES METHOD

Two-dimensional full-plane and half-plane filters are more general, an d much better frequency responses can be obtained than the quarter-pla ne filters. In this correspondence, the analytical least squares metho d is generalized and extended for designing 2-D full-plane and halfpla ne linear phase complex FIR digital filters. The 2-D filter's coeffici ents can be effectively determined by use of a closed-form transformat ion matrix and some simple element functions. The unique advantage of this technique is that it is very fast without employing iterative opt imization procedures and matrix inversions. Design examples are presen ted to illustrate the simplicity and efficiency of the proposed method .