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The signal-noise problem — a solution for the case that signal and noise are Gaussian and independent

Published online by Cambridge University Press:  14 July 2016

Michael F. Driscoll
Michael F. Driscoll*
Affiliation:
Arizona State University
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Abstract

A solution is obtained for the signal-noise problem X = M + Z in which M and Z are independent Gaussian processes. Conditions on the processes are given which insure that the best estimate under generalized square — error loss is the conditional mean of M given X = x. A sequence of approximators of the best estimate is also given.

Keywords

SIGNAL-NOISE PROBLEMGAUSSIAN PROCESSESREPRODUCING KERNEL HILBERT SPACES
Type
Short Communications
Information
Journal of Applied Probability , Volume 12 , Issue 1 , March 1975 , pp. 183 - 187
Copyright
Copyright © Applied Probability Trust 1975 

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References

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