Single-RF Spatial Modulation Relying on Finite-Rate Phase-Only Feedback: Design and Analysis | IEEE Journals & Magazine | IEEE Xplore

Single-RF Spatial Modulation Relying on Finite-Rate Phase-Only Feedback: Design and Analysis


Abstract:

In this paper, we consider a spatial modulation (SM)-based multiple-input-single-output (MISO) system relying on a single radio-frequency chain equipped with a finite-rat...Show More

Abstract:

In this paper, we consider a spatial modulation (SM)-based multiple-input-single-output (MISO) system relying on a single radio-frequency chain equipped with a finite-rate feedback channel to provide quantized channel state information (CSI) to the transmitter. First, under the assumption of Rayleigh flat-fading channels and perfect CSI at the transmitter (CSIT), we analyze the symbol error probability (SEP) of an SM scheme, which perfectly compensates the channel phase and employs constellation rotation at the different transmit antennas (TAs). Then, we consider a more practical scenario, where scalar quantization of the channel phase angles is employed, and the quantized CSI is made available to the transmitter via a finite-rate feedback channel. We analyze the SEP reduction, i.e., PeL, relative to perfect CSIT, imposed by the quantized CSIT (Q-CSIT). We show that at a high feedback rate, PeL varies as C'2-2B, where each channel phase angle is quantized to B bits, and C' is a constant. Furthermore, based on the rotational symmetry of the M-ary phase-shift keying (M-PSK) signal constellation, we propose a novel feedback scheme, which requires (nt - 1) log2(M) fewer bits of feedback with any performance erosion, where nt is the number of TAs. We characterize the performance of the SM-MISO system with finite-rate feedback and validate our analysis through Monte Carlo simulations.
Published in: IEEE Transactions on Vehicular Technology ( Volume: 65, Issue: 4, April 2016)
Page(s): 2016 - 2025
Date of Publication: 21 April 2015

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I. Introduction

Spatial modulation (SM) is a recent technique in multiple-antenna communications, where, along with the classic modulated symbol transmitted from the antenna, additional implicit information is conveyed by the specific index of the transmit antennas (TAs). For a system with TAs, bits are conveyed by the index of the TA to be activated, and a symbol selected from a constellation of size is transmitted through the selected TA, giving a total rate of bits per channel use. Excellent recent tutorial surveys on SM include [1]– [3]. In the early work on SM, e.g., [4]– [11], basic signaling schemes and optimal detectors were proposed, and their corresponding symbol error probability (SEP) performance was analyzed. For example, in [12], the authors derive expressions for the average bit error probability of an SM system in terms of the Marcum- and hypergeometric functions. However, these expressions cannot be readily extended to the case where partial channel state information (CSI) is available at the transmitter (CSIT) via a finite-rate feedback link.

References

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