On the probability density function of the squared envelope of a sum of random phase vectors
Abstract
Weber et al. (1980) have found that a generic problem arises in the study of multiuser FHMA/MFSK systems. According to this problem, the presence of the other channel users acts as interference to reception of the desired user's transmission. The present investigation is concerned with a recursive solution in which the recursion parameter is the number of vectors in the sum. A mathematical characterization of such a solution is presented, taking into account the simple twovector case in which a wellknown closed form result is possible. Some numerical results are also discussed. It is pointed out that the considered recursive solution provides a break in the bottleneck associated with the exact computation of the error probability performance of multiuser FHMA/MFSK systems and single access MFSK systems corrupted by multitone jamming.
 Publication:

IEEE Transactions on Communications
 Pub Date:
 September 1985
 Bibcode:
 1985ITCom..33..993S
 Keywords:

 Frequency Hopping;
 Frequency Shift Keying;
 Multiple Access;
 Probability Density Functions;
 Recursive Functions;
 Vectors (Mathematics);
 Error Analysis;
 Jamming;
 Communications and Radar