Abstract
| Original language | English |
|---|---|
| Article number | 6532317 |
| Pages (from-to) | 6517-6541 |
| Journal | IEEE Transactions on Information Theory |
| Volume | 59 |
| Issue number | 10 |
| DOIs | |
| Publication status | Published - 25 Sep 2013 |
| MoE publication type | A1 Journal article-refereed |
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Keywords
- Biased signaling
- large-system analysis
- linear minimum mean-squared error (LMMSE) channel estimation
- multiple-input multiple-output (MIMO) systems
- noncoherent capacity
- Rayleigh block-fading channels
- replica method
- successive decoding (SD)
- training-based transmission
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On an achievable rate of large rayleigh block-fading MIMO channels with no CSI. / Takeuchi, Keigo; Muller, Ralf R.; Vehkaperä, Mikko; Tanaka, Toshiyuki.
In: IEEE Transactions on Information Theory, Vol. 59, No. 10, 6532317, 25.09.2013, p. 6517-6541.Research output: Contribution to journal › Article › Scientific › peer-review
TY - JOUR
T1 - On an achievable rate of large rayleigh block-fading MIMO channels with no CSI
AU - Takeuchi, Keigo
AU - Muller, Ralf R.
AU - Vehkaperä, Mikko
AU - Tanaka, Toshiyuki
PY - 2013/9/25
Y1 - 2013/9/25
N2 - 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.
AB - 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.
KW - Biased signaling
KW - large-system analysis
KW - linear minimum mean-squared error (LMMSE) channel estimation
KW - multiple-input multiple-output (MIMO) systems
KW - noncoherent capacity
KW - Rayleigh block-fading channels
KW - replica method
KW - successive decoding (SD)
KW - training-based transmission
UR - http://www.scopus.com/inward/record.url?scp=84881134660&partnerID=8YFLogxK
U2 - 10.1109/TIT.2013.2268848
DO - 10.1109/TIT.2013.2268848
M3 - Article
AN - SCOPUS:84881134660
VL - 59
SP - 6517
EP - 6541
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
SN - 0018-9448
IS - 10
M1 - 6532317
ER -