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**Harvard**

Yang, W., Durisi, G. och Polyanskiy, Y. (2016) *Minimum Energy to Send k Bits Over Multiple-Antenna Fading Channels*.

** BibTeX **

@article{

Yang2016,

author={Yang, W. and Durisi, Giuseppe and Polyanskiy, Y.},

title={Minimum Energy to Send k Bits Over Multiple-Antenna Fading Channels},

journal={Ieee Transactions on Information Theory},

issn={0018-9448},

volume={62},

issue={12},

pages={6831-6853},

abstract={This paper investigates the minimum energy required to transmit k information bits with a given reliability over a multiple-antenna Rayleigh block-fading channel, with and without channel state information (CSI) at the receiver. No feedback is assumed. It is well known that the ratio between the minimum energy per bit and the noise level converges to 1.59 dB as k goes to infinity, regardless of whether CSI is available at the receiver or not. This paper shows that the lack of CSI at the receiver causes a slowdown in the speed of convergence to 1.59 dB as k -> infinity compared with the case of perfect receiver CSI. Specifically, we show that, in the no-CSI case, the gap to 1/root k dB is proportional to ((log k)/ k)(1/3), whereas when perfect CSI is available at the receiver, this gap is proportional to lksa. In both cases, the gap to -1.59 dB is independent of the number of transmit antennas and of the channel's coherence time. Numerically, we observe that, when the receiver is equipped with a single antenna, to achieve an energy per bit of 1.5 dB in the no-CSI case, one needs to transmit at least 7 x 10(7) information bits, whereas 6 x 10(4) bits suffice for the case of perfect CSI at the receiver.},

year={2016},

keywords={Channel coding, energy efficiency, minimum energy per bit, multiple-antenna fading channels, finite blocklength, coding rate, capacity, regime, Computer Science, Engineering, ekopa a, 1973, acta scientiarum mathematicarum, v34, p334 },

}

** RefWorks **

RT Journal Article

SR Electronic

ID 248152

A1 Yang, W.

A1 Durisi, Giuseppe

A1 Polyanskiy, Y.

T1 Minimum Energy to Send k Bits Over Multiple-Antenna Fading Channels

YR 2016

JF Ieee Transactions on Information Theory

SN 0018-9448

VO 62

IS 12

SP 6831

OP 6853

AB This paper investigates the minimum energy required to transmit k information bits with a given reliability over a multiple-antenna Rayleigh block-fading channel, with and without channel state information (CSI) at the receiver. No feedback is assumed. It is well known that the ratio between the minimum energy per bit and the noise level converges to 1.59 dB as k goes to infinity, regardless of whether CSI is available at the receiver or not. This paper shows that the lack of CSI at the receiver causes a slowdown in the speed of convergence to 1.59 dB as k -> infinity compared with the case of perfect receiver CSI. Specifically, we show that, in the no-CSI case, the gap to 1/root k dB is proportional to ((log k)/ k)(1/3), whereas when perfect CSI is available at the receiver, this gap is proportional to lksa. In both cases, the gap to -1.59 dB is independent of the number of transmit antennas and of the channel's coherence time. Numerically, we observe that, when the receiver is equipped with a single antenna, to achieve an energy per bit of 1.5 dB in the no-CSI case, one needs to transmit at least 7 x 10(7) information bits, whereas 6 x 10(4) bits suffice for the case of perfect CSI at the receiver.

LA eng

DO 10.1109/tit.2016.2615629

LK http://dx.doi.org/10.1109/tit.2016.2615629

OL 30