DocumentCode
915249
Title
On the expansion of a bivariate distribution and its relationship to the output of a nolinearity
Author
Cambanis, Stamatis ; Liu, Bede
Author_Institution
Univ. of North Carolina, NC
Volume
17
Issue
1
fYear
1971
fDate
1/1/1971 12:00:00 AM
Firstpage
17
Lastpage
25
Abstract
The series expansion of a bivariate distribution and the series expansion of the output of a nonlinearity are considered, as well as the relationship between these two problems. Three distinct expansions of bivariate distributions are presented along with a constructive procedure to obtain them explicitly. The cross-covarianee property and certain results on the expansion of the output of a nonlinearity are extended to a larger class of random processes.
Keywords
Nonlinearities; Probability functions; Autocorrelation; Convergence; Density functional theory; Polynomials; Random processes; Statistical distributions; Sufficient conditions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1971.1054592
Filename
1054592
Link To Document