A Systematic Approach to Noncoherent
Detection of DPSK Modulation in Single-User Correlated Diversity Rayleigh Fading Channels
with Applications to Post-Combining Decorrelative Multiuser Detection
M. K. Varanasi, Proc of the 1997 Conf. Inform. Sciences and Systems, pp. 480-485, Johns
Hopkins University, March 1997
A correlated diversity Rayleigh fading channel is defined as one that admits
inter-diversity branch correlation in both the multiplicative fading as well as the
additive noise processes and models a variety of diversity communication systems operating
over Rayleigh fading channels. In this paper we are interested in applications where
receiver simplicity is paramount. The modulation method of choice for such applications is
differential phase shift keying so that noncoherent detection is possible at the receiver
without having to implement complex channel estimation algorithms. Previous work in
noncoherent detection for DPSK modulation is confined to ad-hoc strategies of the
equal-gain combining type.
<>We introduce a systematic approach for dealing with noncoherent detection for DPSK
modulation in correlated diversity Rayleigh fading channels. For slowly fading channels
where the fading parameters in the diversity branches can be regarded as being essentially
identical over two successive symbol intervals, the generalized likelihood ratio test
(GLRT) is shown to yield an excellent solution. It has the advantage of not needing the
knowledge of the statistics of the fading processes. A minimum error probability (MEP)
detector is also derived that is applicable to slow as well as fast fading channels. This
MEP detector requires a limited knowledge of the statistics of the fading processes. Exact
bit error rates are obtained for the GLRT and the MEP detectors. A comparative analysis
with a recently proposed ad-hoc decorrelating equal gain combiner shows significant
performance advantages for the GLRT and MEP detectors. Applications to post-combining
decorrelative multiuser detection are also considered.
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