Implementation of a stability test of 1-D discrete system based on Schussler's theorem and some consequent coefficient conditions

Ramachandran, V.; Gargour, Christian

doi:10.1016/0016-0032(84)90020-6

Cited by 19 publications

(1 citation statement)

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“…One of the decompositions is due to Schussler. 1, 2 This is used in the implementation of a stability test. 3 Another decomposition is due to Davis,4 which can also be used to determine the stability of the system. 5 In this paper, it is shown that several other new possibilities of decomposing z q D n (z) into a sum of a MIP and an AMIP exist, and some of the properties of such polynomials are discussed.…”

Section: Introductionmentioning

confidence: 99%

New Z-Domain Continued Fraction Expansions Based on an Infinite Number of Mirror-Image and Anti-Mirror-Image Polynomial Decompositions

Ramachandran

Gargour

2008

J CIRCUIT SYST COMP

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A magnitude response preserving modification of the denominator polynomial of a causal and stable digital transfer function leads to an infinite number of decompositions into a mirror-image polynomial (MIP) and an anti-mirror-image polynomial (AMIP). Properties and identifications of the MIP and AMIP are given. The identifications of Schussler and Davis, and the line spectral frequency formulation are special cases of the general MIP and AMIP decompositions introduced in this paper. Two types of Discrete Reactance Functions (DRF) are constructed. From these DRFs, five new continued fraction expansions (CFE) are developed, and some properties are obtained.

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Section: Introductionmentioning

confidence: 99%