Spatial modulation and space-time shift keying: optimal performance at a reduced detection complexity

Abstract

Abstract—In this paper, we propose a comprehensive reduced-
complexity detector both for hard-decision-aided as well as for
the soft-decision-assisted Spatial Modulation (SM)/Space-Time
Shift Keying (STSK). More explicitly, the detection of the SM
scheme, which activates a single one out of M antennas to
transmit a single LPSK/QAM symbol, may be carried out by
detecting the antenna activation index m and the LPSK/QAM
symbol sl separately, so that the detection complexity may be
reduced from the order of O(M · L) to the lower bound of
O(M + log2 L). However, the QAM aided STSK hard detection
proposed in [1] results in a performance loss. Furthermore, the
Max-Log-MAP algorithm proposed for soft STSK detection in [2]
only takes into account the maximum a posteriori probabilities,
which also imposed a performance degradation. Therefore, in
this paper, we propose a novel solution for hard-decision-aided
SM/STSK detection, which retains its optimal performance,
despite its reduced detection complexity, when either LPSK
or LQAM is employed. Furthermore, we propose the reduced-
complexity Approx-Log-MAP algorithm conceived for the soft-
decision-aided SM/STSK detector, in order to replace the sub-
optimal Max-Log-MAP algorithm.
Index Terms—Spatial Modulation, Space-Time Shift Keying,
Reduced complexity design, Turbo detection.

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Identifiers

ORCID for Soon Xin Ng: orcid.org/0000-0002-0930-7194

ORCID for Lajos Hanzo: orcid.org/0000-0002-2636-5214

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