Title :
Frequency-domain design of 2-D digital filters using the Fornasini-Marchesini second model
Author :
Hinamoto, Takao ; Toda, Hideki
Author_Institution :
Fac. of Eng., Hiroshima Univ., Japan
Abstract :
Based on the Fornasini-Marchesini (FM) second local state-space (LSS) model, an efficient algorithm is developed to derive the characteristic polynomial and the inverse of the system matrix from the state-space parameters. As a results, the external description of the FM second LSS model is clarified. The FM second LSS model is then used to design 2-D state-space digital filters in the frequency domain. The resulting filter approximates both magnitude and group delay specifications, and its stability is always guaranteed
Keywords :
filtering theory; frequency-domain synthesis; matrix inversion; polynomials; state-space methods; two-dimensional digital filters; Fornasini-Marchesini second model; characteristic polynomial; frequency domain design; group delay specifications; local state-space model; magnitude specifications; stability; state-space parameters; system matrix inverse; Delay; Digital filters; Frequency domain analysis; Matrix decomposition; Polynomials; Stability; Sufficient conditions; Symmetric matrices; Transfer functions;
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
DOI :
10.1109/ISCAS.1993.393870