DocumentCode
937093
Title
Formulas which approximate the distribution of a sinusoid plus noise (Corresp.)
Author
Webster, Roger J.
Volume
29
Issue
5
fYear
1983
fDate
9/1/1983 12:00:00 AM
Firstpage
765
Lastpage
767
Abstract
The exact probability density function and cumulative distribution function of a sinusoid plus noise cannot in general be expressed in closed form. In this correspondence an approximation formula is derived that is applicable to any noise distribution since it is expressed solely in terms of the noise distribution itself. Its accuracy is checked against the Gaussian and Cauchy noise models.
Keywords
Noise; Probability; Stochastic approximation; Approximation methods; Costs; Fourier transforms; Gaussian noise; Noise level; Noise shaping; Probability density function; Probability distribution; Shape; Signal to noise ratio;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1983.1056732
Filename
1056732
Link To Document