On an achievable rate of large rayleigh block-fading MIMO channels with no CSI

Journal article
(Original article)

Publication Details

Author(s): Takeuchi K, Müller R, Vehkapera M, Tanaka T
Journal: IEEE Transactions on Information Theory
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Publication year: 2013
Volume: 59
Journal issue: 10
Pages range: 6517-6541
ISSN: 0018-9448
Language: English


Training-based transmission over Rayleigh block-fading multiple-input multiple-output (MIMO) channels is investigated. As a training method a combination of a pilot-assisted scheme and a biased signaling scheme is considered. The achievable rates of successive decoding (SD) receivers based on the linear minimum mean-squared error (LMMSE) channel estimation are analyzed in the large-system limit, by using the replica method under the assumption of replica symmetry. It is shown that negligible pilot information is best in terms of the achievable rates of the SD receivers in the large-system limit. The obtained analytical formulas of the achievable rates can improve the existing lower bound on the capacity of the MIMO channel with no channel state information (CSI), derived by Hassibi and Hochwald, for all SNRs. The comparison between the obtained bound and a high-SNR approximation of the channel capacity, derived by Zheng and Tse, implies that the high-SNR approximation is unreliable unless quite high SNR is considered. Energy efficiency in the low-SNR regime is also investigated in terms of the power per information bit required for reliable communication. The required minimum power is shown to be achieved at a positive rate for the SD receiver with no CSI, whereas it is achieved in the zero-rate limit for the case of perfect CSI available at the receiver. Moreover, numerical simulations imply that the presented large-system analysis can provide a good approximation for not so large systems. The results in this paper imply that SD schemes can provide a significant performance gain in the low-to-moderate SNR regimes, compared to conventional receivers based on one-shot channel estimation. © 1963-2012 IEEE.

FAU Authors / FAU Editors

Müller, Ralf Prof. Dr.-Ing.
Professur für Informationsübertragung

External institutions with authors

Aalto University Espoo
Kyoto University / 京都大学 Kyōto daigaku
University of Electro-Communications / 電気通信大学 (Denki-Tsūshin Daigaku)

How to cite

Takeuchi, K., Müller, R., Vehkapera, M., & Tanaka, T. (2013). On an achievable rate of large rayleigh block-fading MIMO channels with no CSI. IEEE Transactions on Information Theory, 59(10), 6517-6541. https://dx.doi.org/10.1109/TIT.2013.2268848

Takeuchi, Keigo, et al. "On an achievable rate of large rayleigh block-fading MIMO channels with no CSI." IEEE Transactions on Information Theory 59.10 (2013): 6517-6541.


Last updated on 2018-17-10 at 14:50

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