## Abstract

Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered. These filters have applications in processing video signals with cyclostationary noise, scrambling of digital images, and in 2-D multirate signal processing. The filters are formulated in the form of a Givone-Roesser (GR) state-space model with periodic coefficients. This PSV model is then represented in block form as a shift-invariant system which also has the same GR state-space form. This block form has reduced computations and ease of analysis. An algorithm is developed that transforms any given 2-D PSV GR system to its equivalent shift-invariant model. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the shift-invariant model of the 2-D PSV system. Also, the inverse system can be easily computed from the original.

Original language | English (US) |
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Pages | 592-595 |

Number of pages | 4 |

State | Published - Dec 1 1995 |

Externally published | Yes |

Event | Proceedings of the 1995 IEEE 38th Midwest Symposium on Circuits and Systems. Part 1 (of 2) - Rio de Janeiro, Braz Duration: Aug 13 1995 → Aug 16 1995 |

### Other

Other | Proceedings of the 1995 IEEE 38th Midwest Symposium on Circuits and Systems. Part 1 (of 2) |
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City | Rio de Janeiro, Braz |

Period | 8/13/95 → 8/16/95 |

## ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Electrical and Electronic Engineering