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Browse Journals & Magazines > Communications, IEEE Transact ...> Volume:33 Issue:9 Help

On the Probability Density Function of the Squared Envelope of a Sum of Random Phase Vectors

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1 Author(s)
Simon, Marvin K. ; California Inst. of Tech., Pasadena, CA

A recursive solution is presented for the probability density function of the sum ofNindependent, random phase vectors. The recursion parameter isN, the number of vectors in the sum. This approach allows one to rapidly compute a complete set of these density functions for values ofN = 2, 3, ..., N_{max}, where Nmaxtypically 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.

Published in:
Communications, IEEE Transactions on  (Volume:33 ,  Issue: 9 )

Date of Publication: Sep 1985

Page(s):
993 - 996
ISSN :
0090-6778
Digital Object Identifier :
10.1109/TCOM.1985.1096409
Product Type:
Journals & Magazines
Date of Current Version :
06 January 2003
Issue Date :
Sep 1985
Sponsored by :
IEEE Communications Society

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