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Title: Optimized transmission with improper gaussian signaling in the K-user MISO interference channel
Authors: Zeng, Y.
Zhang, R. 
Gunawan, E.
Guan, Y.L.
Keywords: Beamforming
Broadcast channel
Improper Gaussian signaling
Interference channel
Pseudo-covariance optimization
Semidefinite relaxation
Widely linear precoding
Issue Date: Dec-2013
Citation: Zeng, Y., Zhang, R., Gunawan, E., Guan, Y.L. (2013-12). Optimized transmission with improper gaussian signaling in the K-user MISO interference channel. IEEE Transactions on Wireless Communications 12 (12) : 6303-6313. ScholarBank@NUS Repository.
Abstract: This paper studies the achievable rate region of the K-user Gaussian multiple-input single-output interference channel (MISO-IC) with the interference treated as noise, when improper or circularly asymmetric complex Gaussian signaling is applied. The transmit optimization with improper Gaussian signaling involves not only the signal covariance matrix as in the conventional proper or circularly symmetric Gaussian signaling, but also the signal pseudo-covariance matrix, which is conventionally set to zero in proper Gaussian signaling. By exploiting the separable rate expression with improper Gaussian signaling, we propose a separate transmit covariance and pseudo-covariance optimization algorithm, which is guaranteed to improve the users' achievable rates over the conventional proper Gaussian signaling. In particular, for the pseudo-covariance optimization, we establish the optimality of rank-1 pseudo-covariance matrices, given the optimal rank-1 transmit covariance matrices for achieving the Pareto boundary of the rate region. Based on this result, we are able to greatly reduce the number of variables in the pseudo-covariance optimization problem and thereby develop an efficient solution by applying the celebrated semidefinite relaxation (SDR) technique. Finally, we extend the result to the Gaussian MISO broadcast channel (MISO-BC) with improper Gaussian signaling or so-called widely linear transmit precoding. © 2013 IEEE.
Source Title: IEEE Transactions on Wireless Communications
ISSN: 15361276
DOI: 10.1109/TWC.2013.103013.130439
Appears in Collections:Staff Publications

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