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|a In spatial modulation (SM), the information bit stream is divided into two different sets: the transmit antenna index-bits (TA-bits) as well as the amplitude and phase modulationbits (APM-bits). However, the conventional bitto- symbol mapping (BTS-MAP) scheme maps the APM-bits and the TA-bits independently. For exploiting their joint benefits, we propose a new BTSMAP rule based on the traditional two-dimensional (2-D) Gray mapping rule, which increases the Hamming distance (HD) between the symbol-pairs detected from the same transmit antenna (TA) and simultaneously reduces the average HD between the symbol-pairs gleaned from different TAs. Based on the analysis of the distribution of minimum Euclidean distance (MED) of SM constellations, we propose a criterion for the construction of a meritorious BTS-MAP for a specific SM setup, without the need for any additional feedback-link or extra computational complexity. Finally, Monte Carlo simulations are conducted for confirming the accuracy of our analysis.
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