Stability of 2-D periodically shift variant digital filters

Tamal Bose, Mei Qin Chen, Kyung Sub Joo, Guo Fang Xu

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


Two-dimensional (2-D) discrete systems with periodic coefficients are considered for stability. These systems are called Periodically Shift Variant (PSV) digital filters and have many applications in signal processing that include the filtering of 2-D signals with cyclostationary noise, scrambling of digital images, and implementation of multirate filter banks. In this paper, the filters are formulated in the form of the well known Fornasini Marchesini (FM) state-space model with periodic coefficients. This PSV model is then studied for stability. Two sufficient conditions and one necessary condition are established for asymptotic stability.

Original languageEnglish (US)
Pages (from-to)2449-2452
Number of pages4
JournalProceedings - IEEE International Symposium on Circuits and Systems
StatePublished - 1997
EventProceedings of the 1997 IEEE International Symposium on Circuits and Systems, ISCAS'97. Part 4 (of 4) - Hong Kong, Hong Kong
Duration: Jun 9 1997Jun 12 1997

ASJC Scopus subject areas

  • Electrical and Electronic Engineering


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