Minimum Error Probability and Suboptimum
Noncoherent Multiuser Detection for Nonlinear Nonorthogonal Synchronous Signaling over a
Rayleigh Fading Channel
A. Russ and M. K. Varanasi, Proc. 1997 IEEE, Personal, Indoor, Mobile Radio
Communications Conf., pp. 58-62, Helsinki, Finland, September 1997.
Coherent multiuser detection for linear modulation has been the subject of much
research in the past decade. Noncoherent detection for linear differentially phase shift
keyed modulation has received considerable attention in the past few years, whereas
research in the field of noncoherent detection for nonlinear modulation in
correlated-waveform multiple access channels has been far more limited. This paper
considers for the first time the problem of noncoherent multiuser detection for binary,
nonlinear, nonorthogonal signaling over a synchronous, frequency-nonselective Rayleigh
fading channel. A minimum error probability multiuser detector is derived and analyzed
through asymptotically convergent upper and lower bounds on error probability. This
detector has an exponential (in the number of users) time complexity. Consequently, a
suboptimum Noncoherent Decorrelative Energy Detector (NDED) is proposed, whose complexity
is linear in the number of users. The NDED is analyzed exactly in terms of error
probability. An asymptotic performance analysis is undertaken for the NDED and, to serve
as a comparison, for the conventional detector. It is shown that the former is near-far
resistant, the latter, however, near-far limited.
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