On the Capacity of Generalized Quadrature Spatial Modulation
Kein Yukiyoshi, Naoki Ishikawa

TL;DR
This paper derives a closed-form expression for the mutual information of generalized quadrature spatial modulation (GQSM), addressing calculation challenges and comparing its performance with other schemes.
Contribution
It provides the first closed-form expression for GQSM's mutual information, improving accuracy over Monte Carlo methods and analyzing different antenna activation patterns.
Findings
Closed-form AMI expression for GQSM derived
Equiprobable antenna selection affects AMI differently
GQSM performance compared with other SM schemes
Abstract
In this letter, the average mutual information (AMI) of generalized quadrature spatial modulation (GQSM) is first derived for continuous-input continuous-output channels. Our mathematical analysis shows that the calculation error induced by Monte Carlo integration increases exponentially with the signal-to-noise ratio. This nature of GQSM is resolved by deriving a closed-form expression. The derived AMI is compared with other related SM schemes and evaluated for different antenna activation patterns. Our results show that an equiprobable antenna selection method slightly decreases AMI of symbols, while the method significantly improves AMI in total.
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