Performance limits of Reed-Solomon coded CDMA with orthogonal signaling in a Rayleigh-fading channel
- 1 January 1998
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Communications
- Vol. 46 (9) , 1125-1134
- https://doi.org/10.1109/26.718555
Abstract
The asymptotic performance of Reed-Solomon (RS)-coded M-ary orthogonal signaling with ratio-threshold test (RTT) type demodulation in a Rayleigh-fading channel is considered. We show that the minimum E¯b/N0 needed for error-free communication is eln2 (2.75 dB) with RTT, and 4.79 (6.8 dB) with hard decisions. The optimum code rate that minimizes the required E¯b/N0 is e-1 with RTT and 0.46 with hard decision, and the optimum ratio threshold approaches 1 for large M. Next, we investigate the fundamental limit in a direct-sequence spread-spectrum multiple-access (DS/SSMA) system employing an M-ary orthogonal code of length N=Mm, which is obtained by spreading every row of an M×M Hadamard matrix with a user-specific random sequence of length N. We derive the minimum E¯b/N0 for error-free communication as a function of the number of users, the optimum code rate that minimizes E¯B/N0, and the maximum limit on the total information transmission rate. Then, we consider a multirate DS/SSMA system, where a population of users simultaneously transmit at different power levels a variety of traffic types of different information rates. We derive the minimum required E¯B/n0 and the optimum code rate for each traffic typeKeywords
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