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Linear precoding for spatially correlated multiple-input single-output wiretap channel

IET COMMUNICATIONS 2015年第5期9卷 719-727页

作者： Hajimomeni, Mona Aghaeinia, Hassan Amirkabir Univ Elect Engn Tehran Iran

A precoding scheme for physical layer security of multiple-input single-output (MISO) wiretap channel with spatial correlation is designed. Quality-of-service (QoS) of the link is defined in terms of upper bounds on average symbol error rate function at Bob (legitimate user) and Eve (illegitimate user). Specifically, two problems are considered. First, a precoder matrix is designed to minimise the average transmitted power subject to QoS requirements at Bob and Eve. Next, we propose two algorithms to minimize QoS of illegitimate party for a given reliability level, depending on whether main user link has no correlation or is fully correlated. Our result for uncorrelated case demonstrate that by increasing the allocated power, main user can increase secrecy level up to an optimum point above which both legitimate and illegitimate receivers experience adequate QoS in their links. In fully correlated case, the problem is identified as an instance of concave minimisation over a polytope, and optimum power allocation is obtained via the widely known vertex enumeration algorithm. In both cases, our simulations validate the analysis significantly. The results confirm that linear precoding is able to trade average power against minimum achievable Eve performance.

关键词： precoding quality of service matrix algebra concave programming correlation theory wireless channels linear precoding scheme multiple-input single-output wiretap channel spatial correlation quality-of-service average symbol error rate function precoder matrix optimal precoder matrix Bob channel Eve channel concave minimisation optimum power allocation vertex enumeration algorithms

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Practical linear precoder design for finite alphabet multiple-input multiple-output orthogonal frequency division multiplexing with experiment validation

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IET COMMUNICATIONS 2013年第9期7卷 836-847页

作者： Zheng, Yahong Rosa Wang, Mingxi Zeng, Weiliang Xiao, Chengshan Missouri Univ Sci & Technol Dept Elect & Comp Engn Rolla MO 65409 USA

A low complexity precoding method is proposed for practical multiple-input multiple-output (MIMO) orthogonal frequency-division multiplexing (OFDM) systems. Based on the two-step optimal precoder design algorithm that maximises the lower bound of the mutual information with finite-alphabet inputs, the proposed method simplifies the precoder design by fixing the right singular vectors of the precoder matrix, eliminating the iterative optimisation between the two steps, and discretising the search space of the power allocation vector. For a 4 x 4 channel, the computational complexity of the proposed precoder design is reduced to 3 and 6% of that required by the original two-step algorithm with quadrature phase shift keying (QPSK) and 8 phase-shift keying (8PSK), respectively. The proposed method achieves nearly the same mutual information as the two-step iterative algorithm for a large range of signal-to-noise ratio (SNR) region, especially for large MIMO size and/or high constellation systems. The proposed precoding design method is applied to a 2 x 2 MIMO-OFDM system with 2048 subcarriers by designing 1024 precoders for extended channel matrices of size 4 x 4. A transceiver test bed implements these precoding matrices in comparison with other existing precoding schemes. Indoor experiments are conducted for fixed-platform non-line-of-sight channels, and the data processing results show that the proposed precoding method achieves the lowest bit error rate compared with maximum diversity, classic water-filling and channel diagonalisation methods.

关键词： channel coding codecs computational complexity indoor radio iterative methods linear codes MIMO communication multiplexing OFDM modulation optimisation phase shift keying precoding radio transceivers transceivers channel diagonalisation methods water-filling methods maximum diversity bit error rate precoding method data processing fixed-platform nonline-of-sight channels indoor experiments precoding matrices transceiver test bed extended channel matrices MIMO-OFDM system MIMO size SNR region 8PSK QPSK quadrature phase shift keying two-step algorithm computational complexity precoder matrix finite-alphabet inputs two-step optimal precoder design algorithm MIMO OFDM systems low complexity precoding method frequency division multiplexing experiment validation finite alphabet multiple-input multiple-output orthogonal linear precoder design

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Symbol error-rate analysis of OSTB codes and linear precoder design for MIMO correlated keyhole channels

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EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING 2008年第unknown期2008卷 571827-571827页

作者： Yahampath, Pradeepa Hjorungnes, Are Univ Manitoba Dept Elect & Comp Engn Winnipeg MB R3T 5V6 Canada Univ Oslo UniK Univ Grad Ctr N-2027 Kjeller Norway

Analytical expressions for the symbol error rate (SER) of MIMO systems are important from both design and analysis point of views. This paper derives exact and easy to evaluate analytical expression for the SER of an orthogonal space-time block coded (OSTBC) MIMO system with spatially correlated antennas, in which the channel signal propagation suffers from a degenerative effect known as a keyhole. These expressions are valid for complex valued correlations between antenna elements. Numerical results obtained by simulations are presented to confirm the validity of the analytical SER expressions for several multilevel modulation schemes. Subsequently, a procedure for designing a linear precoder which exploits the knowledge of the channel correlation matrix at the transmitter to enhance the performance of the above system is given. To this end, the exact SER expression is minimized by using a gradient descent algorithm. To demonstrate the performance improvements achievable with the proposed precoder, numerical results obtained in several design examples are presented and compared. Copyright (c) 2008 P. Yahampath and A. Hjorungnes.

关键词： MIMO System Moment Generate Function MIMO Channel Symbol Error Rate precoder matrix

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