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Meixner-like functions having a rational z-transform

✍ Scribed by A. C. Den Brinker

Publisher: John Wiley and Sons
Year: 1995
Tongue: English
Weight: 458 KB
Volume: 23
Category: Article
ISSN: 0098-9886
DOI: 10.1002/cta.4490230306

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✦ Synopsis

Square-summable causal functions can be expressed in a Meixner series. In principle, approximate filter synthesis is thus possible. However, Meixner filters are not realizable since the Meixner functions do not have a rational ztransform. A set of orthononnal functions is constructed with the following properties. Like the Meixner functions, these functions are a generalization of the discrete Laguerre functions and they have a polynomial character as well. In contrast with the Meixner functions, they have the desired property of a rational z-transform.

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