Stability of the 2-D Fornasini-Marchesini model with periodic coefficients

T. Bose, R. Thamvichai, M. Radenkovic

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


The stability of two-dimensional (2-D) periodically shift varying (PSV) filters is considered. These filters have applications in filtering video signals with cyclostationary noise, image and video scrambling, and design of multiplierless filters. The considered system is represented in state space by the first model of Fornasini-Marchesini with periodic coefficients. Then the stability of this model is studied. Two necessary conditions and two sufficient conditions are established for asymptotic stability. The conditions are easy to use and computationally simple.

Original languageEnglish (US)
Pages (from-to)1925-1928
Number of pages4
JournalICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
StatePublished - 2001
Event2001 IEEE Interntional Conference on Acoustics, Speech, and Signal Processing - Salt Lake, UT, United States
Duration: May 7 2001May 11 2001

ASJC Scopus subject areas

  • Software
  • Signal Processing
  • Electrical and Electronic Engineering


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