“…Let us assume an SM system with N t transmitters and N r receivers, the M quadrature amplitude modulation or phase‐shift keying modulation scheme is used as the digital modulation scheme. The bit stream is divided into two parts: The first log 2 ( N t ) bits are carried by the antenna index and used for antenna selection [8]. The other log 2 (M) bits are transmitted through the digital modulated symbol [9].…”
“…Let us assume an SM system with N t transmitters and N r receivers, the M quadrature amplitude modulation or phase‐shift keying modulation scheme is used as the digital modulation scheme. The bit stream is divided into two parts: The first log 2 ( N t ) bits are carried by the antenna index and used for antenna selection [8]. The other log 2 (M) bits are transmitted through the digital modulated symbol [9].…”
“…For = 8, 13 ⋅ log 2 (8) = 39, leading to a total of 42 real multiplications to evaluate (21). This leads to a total computational complexity of mul = 8 ⋅ ⋅ ⋅ Ω + 2 ⋅ (2 − 1) ⋅ (2 + 43) .…”
Section: Min-ber: Minimizing the Conditional Errormentioning
confidence: 99%
“…In [19], a bit-to-symbol mapping is proposed assuming channel knowledge at the transmitter, where the performance of the proposed scheme outperforms an earlier scheme proposed in [20]. In [21], the optimization of the number of transmit antennas and the size of the modulation set was conducted with and without the channel knowledge at the transmitter. The effect of the full or partial knowledge of the channel at the transmitter on the design of the spatial modulation schemes was investigated in [22].…”
At each channel use, the complex quadrature spatial modulation (CQSM) transmits two signal symbols drawn from two disjoint modulation sets. The indices of the antennas from which symbols are transmitted also carry information. In the improved CQSM (ICQSM), an additional antenna is used to transmit the second signal symbol only when the indices of the antennas to be used for transmission are equal. Conventionally, the second modulation set is a rotated version of the first, where the rotation angle is optimized such that the average unconditional error probability (AUP) is reduced. In this paper, we propose a low-complexity method to design the PSK modulation sets based on reducing the AUP. After introducing min-BER and max-min , two exhaustive search methods, we analytically show that the AUP depends on Euclidean distance between transmitted vectors, which in turn depends on the power of signal symbols, the Euclidean distance between the symbols of each modulation set, and the Euclidean distance between the symbols of the two sets. The optimal rotation angle is analytically derived for any modulation order and the radii of the modulation sets are optimized such that AUP is reduced for a wide range of system configurations. The simulation results show that more than 3 dB of power gain is achieved in the case of 16PSK, where higher gains are achieved for higher modulation orders. These gains are achieved at no computational cost because the optimization does not depend on the channel realization.
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