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Analytical design of multidimensional recursive digital filters with cubic symmetry and constant group delays

โœ Scribed by Mitsuji Muneyasu; Takao Hinamoto

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
672 KB
Volume
330
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

An analytical technique is developed for designing multidimensional (M-D) separable-denominator recursive digital,filters that meet, simultaneously, magnitude andphase spec$cations. A cubic symmetry that exists in the M-D .frequency response is incorporated into the M-D,filter structure. The denominator and the numerator of an M-D transfer,function are designed separately. The former is used to approximate constant group delays and the latter is used to aa$st an overall magnitude response. The jilter is analytically designed by solving linear equations only. This serves to reduce the amount of calculations drastically. The stability of the resulting ,filter is always guaranteed. Finally, two examples are given to illustrate the utility of the proposed technique.

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