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Computer-aided design of stable recursive digital filters from magnitude specifications

โœ Scribed by K. P. Prasad; P. S. Reddy


Publisher
John Wiley and Sons
Year
1979
Tongue
English
Weight
308 KB
Volume
7
Category
Article
ISSN
0098-9886

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โœฆ Synopsis


This paper presents a method of designing one-and two-dimensional recursive digital filters making use of the properties of bilinear transformation of strictly Hurwitz polynomials. The result is a stable digital filter in both oneand two-dimensional cases, which requires no further testing for stability. The well known unconstrained minimization technique of Fletcher-Powell is used, making use of a transformation of optimization parameters to satisfy the mild constraints of stability. This method is considered to be more efficient on an overall basis than the existing 1, design technique of Maria and Fahmy. Nor does it rely on Deczky's theorem to ensure a stable filter which may sometimes lead to unstable solutions in the two-dimensional case. An example is provided illustrating the method.


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In a recent paper' Prasad and Reddy suggest a method of designing two-dimensional recursive digital filters making use of a method proposed by them for the generation of strictly Hurwitz polynomials.2 A major requirement in any approximation method using optimization procedures is that the search fo