Analysis and synthesis of digital structure by matrix method

This paper presents a general matrix algorithm for analysis and synthesis of digital filters. A useful method for computing the state-space matrix of a general digital network and a new technique for the design of digital filters are shown by means of examples. The method proposed in this paper allows the analysis of the digital filters and the construction of new equivalent structures of the canonic and non canonic digital filter forms. Equivalent filters with different structures can be found according to various matrix expansions. The procedure proposed in this paper is more efficient and economic than traditional methods because it permits to construct circuits with a minimum of shifting operations.