Abstract
This paper proposes an optimal joint transmit and receive antenna subsets (TRASs) selection scheme for linear precoding-aided spatial modulation (PSM) systems. The optimal joint TRASs selection is performed by exhaustively searching, so that it is difficult to analyze an achievable diversity gain and it has a huge complexity. To tackle this problem, we propose a decoupled TRAS selection method which selects receive antenna subset (RAS) and transmit antenna subset (TAS) in a two-step serial manner. By computing a lower bound on the pairwise error probability and conducting extensive simulations, it is shown that the zero-forcing (ZF)-based PSM system with $N_{T} $ transmit antennas, $N_{S} $ selected transmit antennas, $N_{R} $ receive antennas, and $N_{D} $ selected receive antennas achieves diversity order of $(N_{T} -N_{D} +1)(N_{R} -N_{D} +1)$ even with TAS selection. Furthermore, decreasing the number of active transmit antennas by TAS selection after RAS selection is analytically shown to always degrade the bit error rate performance. The analysis results are validated by simulations. These analytical and simulation results can be regarded as natural extensions of earlier works on receive antenna selection and transmit antenna selection for the PSM systems. In addition, we study and compare two efficient algorithms for TRAS selection. First, incremental and decremental algorithms are employed for separable RAS and TAS successive selection, respectively, which have an excellent performance. It is analytically shown that the computational complexity of the first proposed decoupled suboptimal TRAS selection scheme is enormously reduced compared to the joint optimal and decoupled optimal algorithms. Second, an incremental TAS selection approach replaces the decremental strategy in the first TRAS selection algorithm to further reduce the complexity.
Highlights
In the recent years, the wireless communications community has witnessed diverse space-index modulation techniques proposed to obtain low-complexity and energy-efficient multiple-input multiple-output (MIMO) communication systems [1], [2]
SIMULATION RESULTS This section shows through Monte Carlo simulations how the bit error rate (BER) performance of the ZF-precoding-aided spatial modulation (PSM) systems varies owing to transmit and receive antenna subsets (TRASs) selection over Raleigh flat-fading channels
The ZF-based PSM systems with subopt-TRAS-A selection, which is represented as D-subopt-TRAS are compared to those with opt-TRAS of (5) and D-opt-TRAS, which can be evaluated as benchmarks
Summary
The wireless communications community has witnessed diverse space-index modulation techniques proposed to obtain low-complexity and energy-efficient multiple-input multiple-output (MIMO) communication systems [1], [2]. In [21], two efficient RAS selection algorithms have been presented for the PSM systems It is shown in [22] that the ZF-based PSM system performing only optimal RAS selection can achieve diversity order of (NT − ND + 1)(NR − ND +1) when NT transmit antennas, NR receive antennas, and ND selected receive antennas are given. As an initial step to reduce the complexity of the optimal joint TRAS selection algorithm based on an exhaustive two-dimensional search, a decoupled strategy is considered. The decoupled TRAS selection scheme using separate optimal RAS and TAS selection makes us ease analytical tractability for the diversity gain that the ZF-based PSM system can provide when the decoupled approach is employed.
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