The gamma filter : a new class of adaptive IIR filters with restricted feedback

J.C. Principe; B. Vries, de; P.G. Oliveira, de

doi:10.1109/78.193206

The gamma filter : a new class of adaptive IIR filters with restricted feedback

J.C. Principe, B. Vries, de, P.G. Oliveira, de

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Abstract

Generalized feedforward filters, a class of adaptive filters that combines attractive properties of finite impulse response (FIR) filters with some of the power of infinite impulse response (IIR) filters, are described. A particular case, the gamma filter, generalizes Widrow's adaptive transversal filter (adaline) to an infinite impulse response filter. Yet, the stability condition for the gamma filter is trivial, and LMS adaptation is of the same computational complexity as the conventional transversal filter structure. Preliminary results indicate that the gamma filter is more efficient than the adaptive transversal filter. The authors extend the Wiener-Kopf equation to the gamma filter and develop some analysis tools

Original language	English
Pages (from-to)	649-656
Journal	IEEE Transactions on Signal Processing
Volume	41
Issue number	2
DOIs	https://doi.org/10.1109/78.193206
Publication status	Published - 1992

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title = "The gamma filter : a new class of adaptive IIR filters with restricted feedback",

abstract = "Generalized feedforward filters, a class of adaptive filters that combines attractive properties of finite impulse response (FIR) filters with some of the power of infinite impulse response (IIR) filters, are described. A particular case, the gamma filter, generalizes Widrow's adaptive transversal filter (adaline) to an infinite impulse response filter. Yet, the stability condition for the gamma filter is trivial, and LMS adaptation is of the same computational complexity as the conventional transversal filter structure. Preliminary results indicate that the gamma filter is more efficient than the adaptive transversal filter. The authors extend the Wiener-Kopf equation to the gamma filter and develop some analysis tools",

author = "J.C. Principe and {Vries, de}, B. and {Oliveira, de}, P.G.",

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AU - Vries, de, B.

AU - Oliveira, de, P.G.

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N2 - Generalized feedforward filters, a class of adaptive filters that combines attractive properties of finite impulse response (FIR) filters with some of the power of infinite impulse response (IIR) filters, are described. A particular case, the gamma filter, generalizes Widrow's adaptive transversal filter (adaline) to an infinite impulse response filter. Yet, the stability condition for the gamma filter is trivial, and LMS adaptation is of the same computational complexity as the conventional transversal filter structure. Preliminary results indicate that the gamma filter is more efficient than the adaptive transversal filter. The authors extend the Wiener-Kopf equation to the gamma filter and develop some analysis tools

AB - Generalized feedforward filters, a class of adaptive filters that combines attractive properties of finite impulse response (FIR) filters with some of the power of infinite impulse response (IIR) filters, are described. A particular case, the gamma filter, generalizes Widrow's adaptive transversal filter (adaline) to an infinite impulse response filter. Yet, the stability condition for the gamma filter is trivial, and LMS adaptation is of the same computational complexity as the conventional transversal filter structure. Preliminary results indicate that the gamma filter is more efficient than the adaptive transversal filter. The authors extend the Wiener-Kopf equation to the gamma filter and develop some analysis tools

U2 - 10.1109/78.193206

DO - 10.1109/78.193206

M3 - Article

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SP - 649

EP - 656

JO - IEEE Transactions on Signal Processing

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