Pseudopassive two-dimensional recursive digital filters for image processing

✍ Scribed by Marek Domanski; Alfred Fettweis

• Publisher: John Wiley and Sons
• Year: 1989
• Tongue: English
• Weight: 655 KB
• Volume: 17
• Category: Article
• ISSN: 0098-9886
• DOI: 10.1002/cta.4490170110

✦ Synopsis

This paper describes the theory of two-dimensional digital filters that are pseudopassive with respect to the &-norm of the state vector. As the classical pseudopassive digital filters are a subclass of these filters, the respective theorems referred to stability are also generalized. It is shown that this theory is useful for the two-dimensional filters that answer with non-negative-valued responses to non-negative-valued excitations. Such systems are especially suitable for image processing. The synthesis of the It-pseudolossless systems is proposed as a tool to guarantee stability of such filters. A technique to obtain local state-space models for such two-dimensional Il-pseudolossless recursive filters with prescribed spatial responses is given. A 'Gaussian filter' design illustrates the technique and shows that the proposed two-dimensional Il-pseudolossless filters are able to match useful spatial responses.

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