DocumentCode
776991
Title
On the Probability Density Function of the Squared Envelope of a Sum of Random Phase Vectors
Author
Simon, Marvin K.
Author_Institution
California Inst. of Tech., Pasadena, CA
Volume
33
Issue
9
fYear
1985
fDate
9/1/1985 12:00:00 AM
Firstpage
993
Lastpage
996
Abstract
A recursive solution is presented for the probability density function of the sum of
independent, random phase vectors. The recursion parameter is
, the number of vectors in the sum. This approach allows one to rapidly compute a complete set of these density functions for values of
, where Nmax typically corresponds to the total number of system users in a multiuser FHMA/MFSK application, or one plus the total number of jamming tones in an FH/MFSK spread-spectrum application. Such evaluations are necessary for exact calculation of the average error probability performance of such systems.
independent, random phase vectors. The recursion parameter is
, the number of vectors in the sum. This approach allows one to rapidly compute a complete set of these density functions for values of
, where NKeywords
Frequency-hop communication; Frequency-shift keying; Multiaccess communication; Density functional theory; Distributed computing; Error probability; Interference; Jamming; Power system modeling; Probability density function; Random variables; Space technology; Spread spectrum communication;
fLanguage
English
Journal_Title
Communications, IEEE Transactions on
Publisher
ieee
ISSN
0090-6778
Type
jour
DOI
10.1109/TCOM.1985.1096409
Filename
1096409
Link To Document