Performance Analysis of Dual-Hop OFDM Relay System with Subcarrier Mapping in Nakagami-<I>m</I> Fading

Raza Ali SHAH; Nandana RAJATHEVA; Yusheng JI

doi:10.1587/transcom.E98.B.723

Performance Analysis of Dual-Hop OFDM Relay System with Subcarrier Mapping in Nakagami-m Fading

Raza Ali SHAH, Nandana RAJATHEVA, Yusheng JI

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Subcarrier mapping (SCM) is considered to be crucial for capacity-maximization in orthogonal frequency division multiplexing (OFDM) relaying networks and has been investigated extensively. However, no study has examined its exact or approximate close-form analysis under Nakagami-m fading. This paper considers the ordered subcarrier pairing schemes, i.e., worst-to-best (WTB) SCM and best-to-best (BTB) SCM, for the analysis of bit error rate (BER) and capacity of a dual-hop OFDM amplify-and-forward (AF) relay system. The system-analysis is presented for Nakagami-m fading with emphasis on two special cases: one-sided Gaussian fading ($(m=rac{1}{2})$) and Rayleigh fading (m=1). Close-form expressions for the probability density function (PDF) and moment generating function (MGF) of end-to-end SNR are derived while considering fixed gain AF relays. The classical MGF and PDF based approaches are used to compare the BER performance of the system with WTB SCM and BTB SCM schemes. Close-form expressions for the upper bound on ergodic capacity are derived by analyzing Jensen's inequality. Accurate analysis is presented for integer m while the non-integer m values allow the derivations of approximate expressions. The accuracy of the suggested approximation is verified analytically as well as numerically. The simulation results validate the analysis in Nakagami-m fading channel.

Publication: IEICE TRANSACTIONS on Communications Vol.E98-B No.4 pp.723-735

Publication Date: 2015/04/01

Publicized

Online ISSN: 1745-1345

DOI: 10.1587/transcom.E98.B.723

Type of Manuscript: PAPER

Category: Wireless Communication Technologies

Authors

Raza Ali SHAH
  Asian Institute of Technology (AIT)
Nandana RAJATHEVA
  University of Oulu
Yusheng JI
  National Institute of Informatics (NII),the Graduate University for Advanced Studies (SOKENDAI)

Keyword

OFDM, SCM, Nakagami-m, dual-hop

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Raza Ali SHAH, Nandana RAJATHEVA, Yusheng JI, "Performance Analysis of Dual-Hop OFDM Relay System with Subcarrier Mapping in Nakagami-m Fading" in IEICE TRANSACTIONS on Communications, vol. E98-B, no. 4, pp. 723-735, April 2015, doi: 10.1587/transcom.E98.B.723.
Abstract: Subcarrier mapping (SCM) is considered to be crucial for capacity-maximization in orthogonal frequency division multiplexing (OFDM) relaying networks and has been investigated extensively. However, no study has examined its exact or approximate close-form analysis under Nakagami-m fading. This paper considers the ordered subcarrier pairing schemes, i.e., worst-to-best (WTB) SCM and best-to-best (BTB) SCM, for the analysis of bit error rate (BER) and capacity of a dual-hop OFDM amplify-and-forward (AF) relay system. The system-analysis is presented for Nakagami-m fading with emphasis on two special cases: one-sided Gaussian fading ($(m=rac{1}{2})$) and Rayleigh fading (m=1). Close-form expressions for the probability density function (PDF) and moment generating function (MGF) of end-to-end SNR are derived while considering fixed gain AF relays. The classical MGF and PDF based approaches are used to compare the BER performance of the system with WTB SCM and BTB SCM schemes. Close-form expressions for the upper bound on ergodic capacity are derived by analyzing Jensen's inequality. Accurate analysis is presented for integer m while the non-integer m values allow the derivations of approximate expressions. The accuracy of the suggested approximation is verified analytically as well as numerically. The simulation results validate the analysis in Nakagami-m fading channel.
URL: https://global.ieice.org/en_transactions/communications/10.1587/transcom.E98.B.723/_p

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@ARTICLE{e98-b_4_723,
author={Raza Ali SHAH, Nandana RAJATHEVA, Yusheng JI, },
journal={IEICE TRANSACTIONS on Communications},
title={Performance Analysis of Dual-Hop OFDM Relay System with Subcarrier Mapping in Nakagami-m Fading},
year={2015},
volume={E98-B},
number={4},
pages={723-735},
abstract={Subcarrier mapping (SCM) is considered to be crucial for capacity-maximization in orthogonal frequency division multiplexing (OFDM) relaying networks and has been investigated extensively. However, no study has examined its exact or approximate close-form analysis under Nakagami-m fading. This paper considers the ordered subcarrier pairing schemes, i.e., worst-to-best (WTB) SCM and best-to-best (BTB) SCM, for the analysis of bit error rate (BER) and capacity of a dual-hop OFDM amplify-and-forward (AF) relay system. The system-analysis is presented for Nakagami-m fading with emphasis on two special cases: one-sided Gaussian fading ($(m=rac{1}{2})$) and Rayleigh fading (m=1). Close-form expressions for the probability density function (PDF) and moment generating function (MGF) of end-to-end SNR are derived while considering fixed gain AF relays. The classical MGF and PDF based approaches are used to compare the BER performance of the system with WTB SCM and BTB SCM schemes. Close-form expressions for the upper bound on ergodic capacity are derived by analyzing Jensen's inequality. Accurate analysis is presented for integer m while the non-integer m values allow the derivations of approximate expressions. The accuracy of the suggested approximation is verified analytically as well as numerically. The simulation results validate the analysis in Nakagami-m fading channel.},
keywords={},
doi={10.1587/transcom.E98.B.723},
ISSN={1745-1345},
month={April},}

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TY - JOUR
TI - Performance Analysis of Dual-Hop OFDM Relay System with Subcarrier Mapping in Nakagami-m Fading
T2 - IEICE TRANSACTIONS on Communications
SP - 723
EP - 735
AU - Raza Ali SHAH
AU - Nandana RAJATHEVA
AU - Yusheng JI
PY - 2015
DO - 10.1587/transcom.E98.B.723
JO - IEICE TRANSACTIONS on Communications
SN - 1745-1345
VL - E98-B
IS - 4
JA - IEICE TRANSACTIONS on Communications
Y1 - April 2015
AB - Subcarrier mapping (SCM) is considered to be crucial for capacity-maximization in orthogonal frequency division multiplexing (OFDM) relaying networks and has been investigated extensively. However, no study has examined its exact or approximate close-form analysis under Nakagami-m fading. This paper considers the ordered subcarrier pairing schemes, i.e., worst-to-best (WTB) SCM and best-to-best (BTB) SCM, for the analysis of bit error rate (BER) and capacity of a dual-hop OFDM amplify-and-forward (AF) relay system. The system-analysis is presented for Nakagami-m fading with emphasis on two special cases: one-sided Gaussian fading ($(m=rac{1}{2})$) and Rayleigh fading (m=1). Close-form expressions for the probability density function (PDF) and moment generating function (MGF) of end-to-end SNR are derived while considering fixed gain AF relays. The classical MGF and PDF based approaches are used to compare the BER performance of the system with WTB SCM and BTB SCM schemes. Close-form expressions for the upper bound on ergodic capacity are derived by analyzing Jensen's inequality. Accurate analysis is presented for integer m while the non-integer m values allow the derivations of approximate expressions. The accuracy of the suggested approximation is verified analytically as well as numerically. The simulation results validate the analysis in Nakagami-m fading channel.
ER -