Computer Science – Information Theory
Scientific paper
2011-11-20
Computer Science
Information Theory
submitted to IEEE Trans. Inf. Theory
Scientific paper
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 rate of a successive decoding (SD) receiver based on the linear minimum mean-squared error (LMMSE) channel estimation is analyzed in the large-system limit, by using the so-called replica method. It is shown that negligible pilot information is best in terms of the achievable rate of the SD receiver in the large-system limit. Moreover, the obtained analytical formula of the achievable rate can improve the existing lower bound for the capacity of the MIMO channel with no channel state information (CSI), derived by Hassibi and Hochwald, for all signal-to-noise ratios (SNRs), while there is a gap between the obtained lower bound and the channel capacity. 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. The results presented 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.
Mueller Ralf R.
Takeuchi Keigo
Tanaka Toshiyuki
Vehkaperae Mikko
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