Optimum Power Control at Finite Blocklength

被引：47

作者：

Yang, Wei ^{[1
]}

Caire, Giuseppe ^{[2
]}

Durisi, Giuseppe ^{[1
]}

Polyanskiy, Yury ^{[3
]}

机构：

[1] Chalmers Univ Technol, Dept Signals & Syst, S-41296 Gothenburg, Sweden

[2] Univ So Calif, Dept Elect Engn, Los Angeles, CA 90089 USA

[3] MIT, Dept Elect Engn & Comp Sci, Cambridge, MA 02139 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2015年 / 61卷 / 09期

基金：

美国国家科学基金会; 瑞典研究理事会;

关键词：

Finite blocklength regime; outage probability; power control; quasi-static fading channel; truncated channel inversion; FADING CHANNELS; CAPACITY;

D O I：

10.1109/TIT.2015.2456175

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper investigates the maximal channel coding rate achievable at a given blocklength n and error probability epsilon, when the codewords are subjected to a long-term (i.e., averaged-over-all-codeword) power constraint. The second-order term in the large-n expansion of the maximal channel coding rate is characterized both for additive white Gaussian noise (AWGN) channels and for quasi-static fading channels with perfect channel state information available at both the transmitter and the receiver. It is shown that in both the cases, the second-order term is proportional to (n(-1) ln n)(1/2). For the quasi-static fading case, this second-order term is achieved by truncated channel inversion, namely, by concatenating a dispersion-optimal code for an AWGN channel subject to a short-term power constraint, with a power controller that inverts the channel whenever the fading gain is above a certain threshold. Easy-to-evaluate approximations of the maximal channel coding rate are developed for both the AWGN and the quasi-static fading case.

引用

页码：4598 / 4615

页数：18

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