New stability test algorithm for two-dimensional digital filters

• Published in: IEEE transactions on circuits and systems. 1, Fundamental theory and applications Vol. 45; no. 7; pp. 739 - 741
• Main Authors: Xiao Yang, Unbehauen, R.
• Format: Journal Article
• Language: English
• Published: New York, NY IEEE 01-07-1998; Institute of Electrical and Electronics Engineers
• Subjects: Applied sciences; Circuit properties; Circuit testing; Digital circuits; Digital filters; Digital systems; Electric, optical and optoelectronic circuits; Electronic circuits; Electronics; Exact sciences and technology; Frequency filters; Information science; Polynomials; Stability; System testing; Transfer functions; Two dimensional displays; Digital filter; Stability; Test; Theoretical study; Two dimensional filter; Polynomial method; Algorithm
• ISSN: 1057-7122; 1558-1268
• DOI: 10.1109/81.703840

A new stability test algorithm for two-dimensional (2-D) digital filters is proposed, which uses the inner term polynomials of the corresponding 2-D test polynomial to construct a test table in order to simplify the stability test procedure. Different from other well-known table test algorithms, the new test algorithm can directly use the one-dimensional (1-D) Schur procedure to test the zeros' distribution of a 2-D complex polynomial in the unit bidisk.