### Abstract

Two-dimensional (2-D) periodically shift variant (PSV) digital filters are considered for image scrambling applications. The filters are formulated in the form of a difference equation and a Fornasini-Marchesini (FM) state-space model with periodic coefficients. These PSV models are then represented as shift-invariant systems which are named block difference equation and 'Kiok-Neon' model respectively. Invertibility of this model is an important consideration, especially in image scrambling applications. A condition is established for the invertibility of the 'Kiok-Neon' model of the 2-D PSV system. Also, the inverse system can be easily computed from the original system.

Original language | English (US) |
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Pages | 478-481 |

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

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## Cite this

*Image scrambling using 2-D periodically shift variant filters*. 478-481. Paper presented at Proceedings of the 1995 IEEE 38th Midwest Symposium on Circuits and Systems. Part 1 (of 2), Rio de Janeiro, Braz, .