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
Link To Document :
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