Abstract
In spatial modulation (SM), a single signal symbol is transmitted from a given physical antenna, where both the signal symbol and the antenna index carry information. SM with multiple active antennas (MA-SM) transmits several signal symbols from a combination of antennas at each channel use, thereby increasing the spectral efficiency. MA-SM is proposed in combination with a new 3-dimensional constellation, where signal symbols transmitted from a given antenna combination are rotated before transmission. In this paper, we derived an upper-bound on the error probability of the MA-SM as a function of the rotation angles. The search for the optimal rotation angles is modeled as a multi-objective optimization problem. We concluded based on both analytical and simulation results that the 3-dimensional constellation with the optimal angles achieved negligible improvement. Therefore, we do not recommend using the 3-dimensional constellation with the MA-SM system.
Highlights
Index modulation (IM) is a relatively new technique in which information is conveyed to the receiver using the conventional signal symbols and/or the index(es) of additional system resources [1]
The goal of this work is to validate the application of the 3-dimensional constellation that was introduced in the literature for the generalized spatial modulation (SM) with multiple active antennas (MA-SM)
The search problem is modeled as a multi-objective optimization
Summary
Index modulation (IM) is a relatively new technique in which information is conveyed to the receiver using the conventional signal symbols and/or the index(es) of additional system resources [1]. The generalized SM (GSM) reduces the number of transmit antennas required to achieve a given spectral efficiency as compared to SM. GSM transmits a single signal symbol from a combination of antennas, instead of a single antenna as in SM [9]. The parallel SM (PSM) divides the available antenna set into groups, and the conventional SM is independently performed in each group using the same signal symbol. The PSM reduces the number of transmit antennas at no cost in terms of the spectral efficiency [10,11]. A new constellation that reduces the asymptotic error performance was designed in [12]
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