DocumentCode
3498263
Title
Distribution of the sum of a complex Gaussian and the product of two complex Gaussians
Author
Betlehem, T. ; Coulson, A.J.
Author_Institution
Ind. Res. Ltd., Lower Hutt, New Zealand
fYear
2012
fDate
Jan. 30 2012-Feb. 2 2012
Firstpage
126
Lastpage
129
Abstract
The probability density function of sum of a complex Gaussian and the product of two complex Gaussians is derived. This distribution occurs in wireless communications where Gaussian signals are transmitted over Rayleigh channels. The result is validated using the Kolmogorov-Smirnov distance and the accuracy of several approximations are compared, including fitted gamma and Nakagami distributions.
Keywords
Gaussian channels; Nakagami channels; Rayleigh channels; probability; radiocommunication; Gaussian signals; Kolmogorov-Smirnov distance; Nakagami distributions; Rayleigh channels; complex Gaussian; fitted gamma; probability density function; wireless communication; Approximation methods; Convolution; Joints; Nakagami distribution; Random variables; Rayleigh channels; Signal to noise ratio; Gaussian product; Kolmogorov-Smirnov distance; Rayleigh-faded channel; additive white Gaussian noise;
fLanguage
English
Publisher
ieee
Conference_Titel
Communications Theory Workshop (AusCTW), 2012 Australian
Conference_Location
Wellington
Print_ISBN
978-1-4577-1961-5
Type
conf
DOI
10.1109/AusCTW.2012.6164918
Filename
6164918
Link To Document