NDLI: The identification of nonlinear discrete-time fading-memory systems using neural network models

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The identification of nonlinear discrete-time fading-memory systems using neural network models

Content Provider	IEEE Xplore Digital Library
Author	Matthews, M.B. Moschytz, G.S.
Copyright Year	1992
Abstract	A fading-memory system is a system that tends to forget its input asymptotically over time. It has been shown that discrete-time fading-memory systems can be uniformly approximated arbitrarily closely over a set of bounded input sequences simply by uniformly approximating sufficiently closely either the external or internal representation of the system. In other words, the problem of uniformly approximating a fading-memory system reduces to the problem of uniformly approximating continuous real-valued functions on compact sets. The perceptron is a parametric model that realizes a set of continuous real-valued functions that is uniformly dense in the set of all continuous real-valued functions. Using the perceptron to uniformly approximate the external and internal representations of a discrete-time fading-memory system results, respectively, in simple finite-memory and infinite-memory parametric system models. Algorithms for estimating the model parameters that yield a best approximation to a given fading-memory system are discussed. An application to nonlinear noise cancellation in telephone systems is presented.<>
Sponsorship	IEEE Circuits and Systems Society
Starting Page	740
Ending Page	751
Page Count	12
File Size	1242621
File Format	PDF
ISSN	10577130
Volume Number	41
Issue Number	11
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1994-11-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Neural networks Telephony Predictive models Parametric statistics Approximation algorithms Parameter estimation Yield estimation Noise cancellation Mathematical model Echo cancellers
Content Type	Text
Resource Type	Article
Subject	Signal Processing Electrical and Electronic Engineering

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