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A note on representation theorems for linear discrete-space systems with stochastic inputs

✍ Scribed by Irwin W. Sandberg

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
70 KB
Volume
29
Category
Article
ISSN
0098-9886

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✦ Synopsis

Abstract

The cornerstone of the theory of discrete‐space single‐input–single‐output linear systems is the idea that every such system has an input–output map that can be represented by a convolution or the familiar generalization of a convolution. This thinking involves an oversight which, for the case of bounded inputs mapped continuously into bounded outputs, was recently corrected by adding an additional term to the representation. Here, we give a corresponding corrected result for discrete‐space systems with stochastic inputs. Copyright © 2001 John Wiley & Sons, Ltd.

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