✦ LIBER ✦

Realizability-Preserving Transformations for Digital and Analog Filters

✍ Scribed by Artice M. Davis

Publisher: Elsevier Science
Year: 1981
Tongue: English
Weight: 689 KB
Volume: 311
Category: Article
ISSN: 0016-0032
DOI: 10.1016/0016-0032(81)90043-0

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✦ Synopsis

The theoretical basis for the design of analog and digital filters by prototype and transformation is studied. Necessary and suficient conditions are developed for a transformation to preserue realizibility as well as the frequency response. The attendant structural properties of such transformations are developed and compared with the reactance transformations of classical analog filter theory. The superiority of direct analog-todigital transformation to the Constantinides approach is proven.

existing analog filters into their digital counterparts. In this case, the required mapping is given by s =f(z). Again, it is clear that f(z) must be a rational function with real coefficients. For realizability, Re(s) < 0 must map into IzI < 1.

The logical contrapositive states that (z[ 2 1 must map into Re(s) 20. The following definition and theorem express these ideas in a concise fashion.

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