Outage exponent

A unified performance metric for parallel fading channels

Bo Bai, Wei Chen, Khaled Letaief, Zhigang Cao

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The parallel fading channel, which consists of finite number of subchannels, is very important, because it can be used to formulate many practical communication systems. The outage probability, on the other hand, is widely used to analyze the relationship among the communication efficiency, reliability, signal-to-noise ratio (SNR), and channel fading. To the best of our knowledge, the previous works only studied the asymptotic outage performance of the parallel fading channels which are only valid for a large number of subchannels or high SNRs. In this paper, a unified performance metric, which we shall refer to as the outage exponent, will be proposed. Our approach is mainly based on the large deviations theory and Meijer's $G$-function. It is shown that the proposed outage exponent is not only an accurate estimation of the outage probability for any number of subchannels, any SNR, and any target transmission rate, but also provides an easy way to compute the outage capacity, finite-SNR diversity-multiplexing tradeoff, and SNR gain. The asymptotic performance metrics, such as the delay-limited capacity, ergodic capacity, and diversity-multiplexing tradeoff can be directly obtained by letting the number of subchannels or SNR tend to infinity. Similar to Gallager's error exponent, a reliable function for parallel fading channels, which illustrates a fundamental relationship between the transmission reliability and efficiency, can also be defined from the outage exponent. Therefore, the proposed outage exponent provides a complete and comprehensive performance measure for parallel fading channels.

Original languageEnglish
Article number6353210
Pages (from-to)1657-1677
Number of pages21
JournalIEEE Transactions on Information Theory
Volume59
Issue number3
DOIs
Publication statusPublished - 2013
Externally publishedYes

Fingerprint

Outages
Fading channels
Signal to noise ratio
performance
efficiency
Multiplexing
communication system
communication
Communication systems
Communication

Keywords

  • Channel capacity
  • diversity-multiplexing tradeoff
  • large deviations theory
  • Meijer's $G$-function
  • outage exponent
  • parallel fading channel

ASJC Scopus subject areas

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences

Cite this

Outage exponent : A unified performance metric for parallel fading channels. / Bai, Bo; Chen, Wei; Letaief, Khaled; Cao, Zhigang.

In: IEEE Transactions on Information Theory, Vol. 59, No. 3, 6353210, 2013, p. 1657-1677.

Research output: Contribution to journalArticle

@article{f0f81c4a9321411a8f7ab79ac3067f95,
title = "Outage exponent: A unified performance metric for parallel fading channels",
abstract = "The parallel fading channel, which consists of finite number of subchannels, is very important, because it can be used to formulate many practical communication systems. The outage probability, on the other hand, is widely used to analyze the relationship among the communication efficiency, reliability, signal-to-noise ratio (SNR), and channel fading. To the best of our knowledge, the previous works only studied the asymptotic outage performance of the parallel fading channels which are only valid for a large number of subchannels or high SNRs. In this paper, a unified performance metric, which we shall refer to as the outage exponent, will be proposed. Our approach is mainly based on the large deviations theory and Meijer's $G$-function. It is shown that the proposed outage exponent is not only an accurate estimation of the outage probability for any number of subchannels, any SNR, and any target transmission rate, but also provides an easy way to compute the outage capacity, finite-SNR diversity-multiplexing tradeoff, and SNR gain. The asymptotic performance metrics, such as the delay-limited capacity, ergodic capacity, and diversity-multiplexing tradeoff can be directly obtained by letting the number of subchannels or SNR tend to infinity. Similar to Gallager's error exponent, a reliable function for parallel fading channels, which illustrates a fundamental relationship between the transmission reliability and efficiency, can also be defined from the outage exponent. Therefore, the proposed outage exponent provides a complete and comprehensive performance measure for parallel fading channels.",
keywords = "Channel capacity, diversity-multiplexing tradeoff, large deviations theory, Meijer's $G$-function, outage exponent, parallel fading channel",
author = "Bo Bai and Wei Chen and Khaled Letaief and Zhigang Cao",
year = "2013",
doi = "10.1109/TIT.2012.2227454",
language = "English",
volume = "59",
pages = "1657--1677",
journal = "IEEE Transactions on Information Theory",
issn = "0018-9448",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "3",

}

TY - JOUR

T1 - Outage exponent

T2 - A unified performance metric for parallel fading channels

AU - Bai, Bo

AU - Chen, Wei

AU - Letaief, Khaled

AU - Cao, Zhigang

PY - 2013

Y1 - 2013

N2 - The parallel fading channel, which consists of finite number of subchannels, is very important, because it can be used to formulate many practical communication systems. The outage probability, on the other hand, is widely used to analyze the relationship among the communication efficiency, reliability, signal-to-noise ratio (SNR), and channel fading. To the best of our knowledge, the previous works only studied the asymptotic outage performance of the parallel fading channels which are only valid for a large number of subchannels or high SNRs. In this paper, a unified performance metric, which we shall refer to as the outage exponent, will be proposed. Our approach is mainly based on the large deviations theory and Meijer's $G$-function. It is shown that the proposed outage exponent is not only an accurate estimation of the outage probability for any number of subchannels, any SNR, and any target transmission rate, but also provides an easy way to compute the outage capacity, finite-SNR diversity-multiplexing tradeoff, and SNR gain. The asymptotic performance metrics, such as the delay-limited capacity, ergodic capacity, and diversity-multiplexing tradeoff can be directly obtained by letting the number of subchannels or SNR tend to infinity. Similar to Gallager's error exponent, a reliable function for parallel fading channels, which illustrates a fundamental relationship between the transmission reliability and efficiency, can also be defined from the outage exponent. Therefore, the proposed outage exponent provides a complete and comprehensive performance measure for parallel fading channels.

AB - The parallel fading channel, which consists of finite number of subchannels, is very important, because it can be used to formulate many practical communication systems. The outage probability, on the other hand, is widely used to analyze the relationship among the communication efficiency, reliability, signal-to-noise ratio (SNR), and channel fading. To the best of our knowledge, the previous works only studied the asymptotic outage performance of the parallel fading channels which are only valid for a large number of subchannels or high SNRs. In this paper, a unified performance metric, which we shall refer to as the outage exponent, will be proposed. Our approach is mainly based on the large deviations theory and Meijer's $G$-function. It is shown that the proposed outage exponent is not only an accurate estimation of the outage probability for any number of subchannels, any SNR, and any target transmission rate, but also provides an easy way to compute the outage capacity, finite-SNR diversity-multiplexing tradeoff, and SNR gain. The asymptotic performance metrics, such as the delay-limited capacity, ergodic capacity, and diversity-multiplexing tradeoff can be directly obtained by letting the number of subchannels or SNR tend to infinity. Similar to Gallager's error exponent, a reliable function for parallel fading channels, which illustrates a fundamental relationship between the transmission reliability and efficiency, can also be defined from the outage exponent. Therefore, the proposed outage exponent provides a complete and comprehensive performance measure for parallel fading channels.

KW - Channel capacity

KW - diversity-multiplexing tradeoff

KW - large deviations theory

KW - Meijer's $G$-function

KW - outage exponent

KW - parallel fading channel

UR - http://www.scopus.com/inward/record.url?scp=84873928117&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84873928117&partnerID=8YFLogxK

U2 - 10.1109/TIT.2012.2227454

DO - 10.1109/TIT.2012.2227454

M3 - Article

VL - 59

SP - 1657

EP - 1677

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 3

M1 - 6353210

ER -