Symmetrical decomposition and transformation

This paper is concerned with the development of efficient procedures for the design of two-dimensional (2-D) finite impulse response (FIR) digital filters. Symmetry properties of 2-D real functions are employed to derive a number of results on the transformation functions useful in transformation based design. A procedure to decompose a given frequency response into symmetrical and antisymmetrical components is outlined. Application of symmetrical decomposition in optimization based 2-D FIR filter design is described. Examples are given to illustrate the efficiency of this procedure.