Subcarrier subset selection aided transmit precoding achieves full-diversity in Index Modulation

Abstract

Index modulation (IM) is a recently proposed multi-carrier transmission scheme, which conveys information both by conventional symbols as well as by the specific subcarrier activation patterns conveying them. However, an impediment of IM is that it lacks transmit diversity gain. In this paper, we circumvent this limitation by proposing a limited-feedback assisted IM transmission scheme. Specifically, Euclidean distance based subcarrier subset selection (ED-SSS) is proposed and its attainable transmit diversity order is shown to be $N_c-N_{IM}+1$, where $N_c$ is the total number of subcarriers in an IM block and $N_{IM}$ is the number of subcarriers used for IM. Furthermore, the ED-SSS is shown to be amenable to low-complexity implementation owing to the orthogonality of its subcarriers. In order to attain the maximum transmit diversity order of $N_c$, ED-SSS is further extended with the aid of transmit precoding and its transmit diversity order is quantified. The proposed precoding assisted ED-SSS is shown to subsume several of the existing precoding aided IM transmission schemes. Simulation studies are conducted for validating our theoretical claims and also for quantifying the attainable performance gains of the proposed schemes. Specifically, at a BER of $10^{-3}$ an SNR gain as high as 8dB is observed in case of precoding when compared to its counterpart operating without precoding.

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Identifiers

ORCID for Rakshith Mysore rajashekar: orcid.org/0000-0002-7688-7539

ORCID for Chao Xu: orcid.org/0000-0002-8423-0342

ORCID for Lieliang Yang: orcid.org/0000-0002-2032-9327

ORCID for Lajos Hanzo: orcid.org/0000-0002-2636-5214

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