DocumentCode
921360
Title
On the output autocorrelation function of a single-valued nonlinearity with signal plus noise as input (Corresp.)
Author
Atherton, P.D.
Volume
20
Issue
2
fYear
1974
fDate
3/1/1974 12:00:00 AM
Firstpage
263
Lastpage
265
Abstract
A method is given for obtaining series expansions for the coefficients in the double series for the autocorrelation function of the output of a nonlinearity with a signal plus noise as input. Two series are obtained, one in powers and the other in inverse powers of the signal-to-noise ratio. The terms in the series are products of two functions. In these series one function depends on the moments of the signal (or noise) and the other on characteristics of the nonlinearity and the noise (or signal). Differential recursion relationships that simplify evaluation of the nonlinearity-dependent functions are given.
Keywords
Correlation functions; Nonlinearities; Autocorrelation; Difference equations; Gaussian noise; Gaussian processes; Maximum likelihood detection; Nonlinear equations; Optical mixing; Optimized production technology; Signal to noise ratio; Statistical distributions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1974.1055189
Filename
1055189
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