A generation of canonical forms for design of IIR digital filters

Abstract

Implementation of canonical structures of IIR digital filters demands execution of the minimum number of operations. Thus these filters can realize any transfer function. Therefore they represent considerable interest at implementation by using FPGA and ASIC. Researches have shown that except widely known classical canonical forms there are also others. They can possess better characteristics. This paper is devoted to generation of all possible canonical structures. This problem is a part of process of designing of the given class of filters.