Approximate performance analysis for linear codes in superposition schemes over Gaussian broadcast channels

Uttam Bhat, Dario Fertonani, Tolga M. Duman

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Unequal error-protection schemes obtained by means of two-level superposition coding are considered. Their performance over Gaussian broadcast channels (GBCs) is investigated with optimal maximum-likelihood decoding as well as with a suboptimal decoding strategy based on interference cancellation. We focus on GBCs without fading and, assuming that linear codes are used, we evaluate, for both decoding strategies, analytical approximations of the word-error rate based on a suitable application of the union bound. As in the case of turbo codes and turbo-coded modulations in schemes without superposition, the derivation of the approximations exploits the concept of uniform interleaving. The analytical expressions obtained are in excellent agreement with the simulation results, and thus provide a useful tool for analysis and design of practical superposition-coding schemes. Unlike the existing design tools, which rely on the assumption of infinite-length superposition codes, the proposed approach allows us to study the effectiveness of finite-length coding schemes with known distance spectrum.

Original languageEnglish (US)
Article number5555872
Pages (from-to)2177-2182
Number of pages6
JournalIEEE Transactions on Communications
Volume58
Issue number8
DOIs
StatePublished - Aug 2010
Externally publishedYes

Fingerprint

Decoding
Turbo codes
Fading channels
Maximum likelihood
Modulation

Keywords

  • Gaussian broadcast channels
  • interference cancellation
  • superposition coding
  • turbo codes
  • union bound

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

Approximate performance analysis for linear codes in superposition schemes over Gaussian broadcast channels. / Bhat, Uttam; Fertonani, Dario; Duman, Tolga M.

In: IEEE Transactions on Communications, Vol. 58, No. 8, 5555872, 08.2010, p. 2177-2182.

Research output: Contribution to journalArticle

Bhat, Uttam ; Fertonani, Dario ; Duman, Tolga M. / Approximate performance analysis for linear codes in superposition schemes over Gaussian broadcast channels. In: IEEE Transactions on Communications. 2010 ; Vol. 58, No. 8. pp. 2177-2182.
@article{15c731e2860c483eb42ae82fac36d650,
title = "Approximate performance analysis for linear codes in superposition schemes over Gaussian broadcast channels",
abstract = "Unequal error-protection schemes obtained by means of two-level superposition coding are considered. Their performance over Gaussian broadcast channels (GBCs) is investigated with optimal maximum-likelihood decoding as well as with a suboptimal decoding strategy based on interference cancellation. We focus on GBCs without fading and, assuming that linear codes are used, we evaluate, for both decoding strategies, analytical approximations of the word-error rate based on a suitable application of the union bound. As in the case of turbo codes and turbo-coded modulations in schemes without superposition, the derivation of the approximations exploits the concept of uniform interleaving. The analytical expressions obtained are in excellent agreement with the simulation results, and thus provide a useful tool for analysis and design of practical superposition-coding schemes. Unlike the existing design tools, which rely on the assumption of infinite-length superposition codes, the proposed approach allows us to study the effectiveness of finite-length coding schemes with known distance spectrum.",
keywords = "Gaussian broadcast channels, interference cancellation, superposition coding, turbo codes, union bound",
author = "Uttam Bhat and Dario Fertonani and Duman, {Tolga M.}",
year = "2010",
month = "8",
doi = "10.1109/TCOMM.2010.08.090427",
language = "English (US)",
volume = "58",
pages = "2177--2182",
journal = "IEEE Transactions on Communications",
issn = "0090-6778",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "8",

}

TY - JOUR

T1 - Approximate performance analysis for linear codes in superposition schemes over Gaussian broadcast channels

AU - Bhat, Uttam

AU - Fertonani, Dario

AU - Duman, Tolga M.

PY - 2010/8

Y1 - 2010/8

N2 - Unequal error-protection schemes obtained by means of two-level superposition coding are considered. Their performance over Gaussian broadcast channels (GBCs) is investigated with optimal maximum-likelihood decoding as well as with a suboptimal decoding strategy based on interference cancellation. We focus on GBCs without fading and, assuming that linear codes are used, we evaluate, for both decoding strategies, analytical approximations of the word-error rate based on a suitable application of the union bound. As in the case of turbo codes and turbo-coded modulations in schemes without superposition, the derivation of the approximations exploits the concept of uniform interleaving. The analytical expressions obtained are in excellent agreement with the simulation results, and thus provide a useful tool for analysis and design of practical superposition-coding schemes. Unlike the existing design tools, which rely on the assumption of infinite-length superposition codes, the proposed approach allows us to study the effectiveness of finite-length coding schemes with known distance spectrum.

AB - Unequal error-protection schemes obtained by means of two-level superposition coding are considered. Their performance over Gaussian broadcast channels (GBCs) is investigated with optimal maximum-likelihood decoding as well as with a suboptimal decoding strategy based on interference cancellation. We focus on GBCs without fading and, assuming that linear codes are used, we evaluate, for both decoding strategies, analytical approximations of the word-error rate based on a suitable application of the union bound. As in the case of turbo codes and turbo-coded modulations in schemes without superposition, the derivation of the approximations exploits the concept of uniform interleaving. The analytical expressions obtained are in excellent agreement with the simulation results, and thus provide a useful tool for analysis and design of practical superposition-coding schemes. Unlike the existing design tools, which rely on the assumption of infinite-length superposition codes, the proposed approach allows us to study the effectiveness of finite-length coding schemes with known distance spectrum.

KW - Gaussian broadcast channels

KW - interference cancellation

KW - superposition coding

KW - turbo codes

KW - union bound

UR - http://www.scopus.com/inward/record.url?scp=77956211238&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77956211238&partnerID=8YFLogxK

U2 - 10.1109/TCOMM.2010.08.090427

DO - 10.1109/TCOMM.2010.08.090427

M3 - Article

VL - 58

SP - 2177

EP - 2182

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

SN - 0090-6778

IS - 8

M1 - 5555872

ER -