Compressed sensing-aided index modulation improves space-time shift keying assisted millimeter-wave communications

Abstract

In this treatise, we present the concept of Compressed-Sensing (CS)-aided Space-Time Shift Keying Index Modulation (STSK-IM), where a virtual domain Orthogonal Frequency Division Multiplexing (OFDM) symbol is divided into Na-sized blocks, which carry K STSK codewords over a specific combination of virtual-domain subcarriers and then converted to the frequency domain with the aid of a CS matrix. We design the system for operation in the Milli-meter Wave (mmWave) frequency band. Furthermore, we amalgamate our soft-decision-aided scheme both with the concept of Coordinate-Interleaving (CI) as well as a Discrete Fourier Transform (DFT)-aided codebook design conceived for analogue beamforming, which is vitally important for mmWave systems. In the proposed system, the number of implicit bits conveyed by the activated sub-carrier Frequency Index (FI) is determined by the number of the available K to Na subcarrier permutations. Hence, we propose two FI allocation techniques, namely the Distinct FI (DFI) and the Shared FI (SFI) based schemes, which strike a trade-off between the attainable sparsity level and the achievable capacity limit. We also formulate the Discrete-Input Continuous-Output Memoryless Channel (DCMC) capacity and invoke EXtrinsic Information Transfer (EXIT) charts for characterizing the achievable performance limit of the reduced-complexity aided detector. Finally, we analyze the BER performance of both the uncoded and of our coded CS-aided STSKIM systems associated with both the optimum and the
reduced-complexity detectors.

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Identifiers

ORCID for Siyao Lu: orcid.org/0000-0002-5239-3964

ORCID for Mohammed El-Hajjar: orcid.org/0000-0002-7987-1401

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

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