DocumentCode
1162998
Title
Distribution of the sum of two sine waves and Gaussian noise
Author
Helstrom, Carl W.
Author_Institution
Dept. of Electr. & Comput. Eng., California Univ., San Diego, La Jolla, CA, USA
Volume
38
Issue
1
fYear
1992
fDate
1/1/1992 12:00:00 AM
Firstpage
186
Lastpage
191
Abstract
The cumulative distribution of the envelope of the sum of two sine waves and narrowband Gaussian noise, the difference of the phases of the sine waves being uniformly distributed over (0, 2π), is expressed as an integral that is evaluated by numerical quadrature. Approximation for the distribution valid in the limit of large signal-to-noise ratio are derived. The probability density function of the envelope is similarly treated
Keywords
information theory; probability; random noise; cumulative distribution; envelope; narrowband Gaussian noise; numerical quadrature; probability density function; signal-to-noise ratio; sum of two sine waves; Density functional theory; Distributed computing; Error probability; Gaussian noise; Interference; Narrowband; Phase noise; Polynomials; Probability density function; Signal to noise ratio;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.108270
Filename
108270
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