Performance of ma-spatial modulation: information theoretic criteria over correlated Rayleigh fading channels

Abstract

In this study, symbol error probability of tra nsmitted modulation signals for a single-input – multiple-output system is used to derive overall average bit error probab ility (ABEP) of multiple active-spatial modulation (MA-SM) system as a function of the number density of bits in error. Specifically, a theoretic method of determining the number density of bits in error in the joint detector of MA-SM is p roposed. Sample variance (SV) criterion uses the sample covariance of detector noise data, while mutual informat ion (MI) criterion uses rela tive entropy derived from the Kullback – Liebler distance to compute the number density of bi ts in error. The choice for the better criterion is formulated as a model selection problem between the SV an d the MI criteria. Analytica l results for ABEP are tightly verified from simulations, which are carried out under arbitrarily correlated flat Rayleigh fading channels. Various data rates, antenna spacing and number of transmit and receive antenna configurations are tested, where it is also shown that SM is a special case of MA-SM. Mo reover, a basis spectral efficiency (BSE) formula for MA-SM systems is proposed, which can be used to select a preferred antenna configuration without the need for simulations