NDLI: Energy-Efficient Uniquely Factorable Constellation Designs for Noncoherent SIMO Channels

Content Provider	IEEE Xplore Digital Library
Author	Li Xiong Jian-Kang Zhang
Copyright Year	1967
Abstract	In this paper, a novel concept called a uniquely factorable constellation (UFC) is proposed for the systematic design of noncoherent full-diversity constellations for a wireless communication system that is equipped with a single transmitter antenna and multiple receiver antennas [single input-multiple output (SIMO)], where neither the transmitter nor the receiver knows channel-state information. It is proved that such a UFC design guarantees the unique blind identification of channel coefficients and transmitted signals in a noise-free case by processing only two received signals, as well as full diversity for the noncoherent maximum-likelihood (ML) receiver in a noise case. By using the Lagrange four-square theorem, an algorithm is developed to efficiently and effectively design various sizes of energy-efficient unitary UFCs to optimize the coding gain. In addition, a closed-form optimal energy scale is found to maximize the coding gain for the unitary training scheme based on the commonly used quadratic-amplitude modulation (QAM) constellations. Comprehensive computer simulations show that, using the same generalized likelihood ratio test (GLRT) receiver, the error performance of the unitary UFC designed in this paper outperforms the differential scheme, the optimal unitary training scheme presented in this paper, and the signal-to-noise ratio (SNR) efficient training scheme using the QAM constellation, which, so far, yields the best error performance in the current literature. However, with the same training ML receiver, the error performance of the UFCs is worse than the training scheme based on the QAM constellations.
Sponsorship	IEEE Vehicular Technology Society
Starting Page	2130
Ending Page	2144
Page Count	15
File Size	972812
File Format	PDF
ISSN	00189545
Volume Number	61
Issue Number	5
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2012-06-01
Publisher Place	U.S.A.
Access Restriction	One Nation One Subscription (ONOS)
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Receivers Training Vectors Quadrature amplitude modulation Constellation diagram Encoding Channel estimation uniquely factorable constellations (UFCs) Cross quadratic-amplitude modulation (QAM) constellations energy-efficient unitary training scheme noncoherent full diversity and coding gain noncoherent maximum-likelihood (ML) receivers single-input–multiple-output (SIMO) channels
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Automotive Engineering Computer Networks and Communications Electrical and Electronic Engineering Aerospace Engineering

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