access icon free Performance of multiple active-spatial modulation: information theoretic criteria over correlated Rayleigh fading channels

In this study, symbol error probability of transmitted modulation signals for a single-input–multiple-output system is used to derive overall average bit error probability (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 proposed. Sample variance (SV) criterion uses the sample covariance of detector noise data, while mutual information (MI) criterion uses relative entropy derived from the Kullback–Liebler distance to compute the number density of bits in error. The choice for the better criterion is formulated as a model selection problem between the SV and the MI criteria. Analytical 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. Moreover, 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.

Inspec keywords: error statistics; covariance analysis; modulation; Rayleigh channels; entropy

Other keywords: basis spectral efficiency formula; multiple active-spatial modulation system; ABEP; joint detector; Kullback–Liebler distance; transmitted modulation signals; sample variance criterion; single-input–multiple-output system; number density; symbol error probability; antenna configuration; model selection problem; relative entropy; MA-SM system; average bit error probability; detector noise data; sample covariance; correlated flat Rayleigh fading channels; mutual information criterion

Subjects: Radio links and equipment; Modulation and coding methods; Other topics in statistics

http://iet.metastore.ingenta.com/content/journals/10.1049/iet-com.2015.0822
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content/journals/10.1049/iet-com.2015.0822
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