Optimality conditions for a specific class of Kautz series

A.C. Brinker, den

doi:10.1109/82.532006

Optimality conditions for a specific class of Kautz series

A.C. Brinker, den

Signal Processing Systems

Research output: Contribution to journal › Article › Academic › peer-review

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Abstract

Kautz functions constitute a basis in L2 and can be used for filter synthesis starting from a prescribed transient response. In a practical situation, only truncated series are used and thus the speed of convergence of such series is of importance. This convergence speed is a function of the parameters. The Kautz functions that are considered can be generated by a line of identical Nth-order allpass sections. The optimality conditions for the parameters of this specific class of truncated Kautz series are established solely on the basis of the orthonormality and the polynomial character of the basis functions

Original language	English
Pages (from-to)	597-600
Number of pages	4
Journal	IEEE Transactions on Circuits and Systems. II, Analog and Digital Signal Processing
Volume	43
DOIs	https://doi.org/10.1109/82.532006
Publication status	Published - 1996

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title = "Optimality conditions for a specific class of Kautz series",

abstract = "Kautz functions constitute a basis in L2 and can be used for filter synthesis starting from a prescribed transient response. In a practical situation, only truncated series are used and thus the speed of convergence of such series is of importance. This convergence speed is a function of the parameters. The Kautz functions that are considered can be generated by a line of identical Nth-order allpass sections. The optimality conditions for the parameters of this specific class of truncated Kautz series are established solely on the basis of the orthonormality and the polynomial character of the basis functions",

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PY - 1996

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AB - Kautz functions constitute a basis in L2 and can be used for filter synthesis starting from a prescribed transient response. In a practical situation, only truncated series are used and thus the speed of convergence of such series is of importance. This convergence speed is a function of the parameters. The Kautz functions that are considered can be generated by a line of identical Nth-order allpass sections. The optimality conditions for the parameters of this specific class of truncated Kautz series are established solely on the basis of the orthonormality and the polynomial character of the basis functions

U2 - 10.1109/82.532006

DO - 10.1109/82.532006

M3 - Article

SN - 1057-7130

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JO - IEEE Transactions on Circuits and Systems. II, Analog and Digital Signal Processing

JF - IEEE Transactions on Circuits and Systems. II, Analog and Digital Signal Processing

ER -

Optimality conditions for a specific class of Kautz series

Abstract

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