H-functions and BER analysis of FFH/BFSK with product combining over partial-band jammed Rayleigh fading channels

Gang Huo; Mohamed Slim Alouini

doi:10.1109/VTC.2001.957174

H-functions and BER analysis of FFH/BFSK with product combining over partial-band jammed Rayleigh fading channels

Research output: Contribution to journal › Article › peer-review

Abstract

Product combining (PC) is a well-known diversity technique that effectively combat the effect of partial-band jamming (PBJ) affecting fast-frequency-hopping/frequency-shift-keying systems. In this paper, we rely on the theory of H-function random variables to present an approach for the average BER evaluation of PC over partial-band jammed Rayleigh fading channels. The final closed-form formula is expressed in terms of the Meijer's G-function, which can be easily evaluated using common mathematical softwares for small values of the diversity order. Based on this result we also develop an infinite series representation for the average BER. Numerical experiments show that the latter series representation offer a speed-up factor in evaluating the average BER especially for high values of the diversity order. The mathematical formalism is illustrated by some numerical examples showing the effect of various parameters on the performance of the system.

Original language	English (US)
Article number	92
Pages (from-to)	2374-2378
Number of pages	5
Journal	IEEE Vehicular Technology Conference
Volume	4
Issue number	54ND
DOIs	https://doi.org/10.1109/VTC.2001.957174
State	Published - 2001
Externally published	Yes

ASJC Scopus subject areas

Computer Science Applications
Electrical and Electronic Engineering
Applied Mathematics

Access to Document

10.1109/VTC.2001.957174

Cite this

@article{0d0fbea1d83148be8c7d8a1329460571,

title = "H-functions and BER analysis of FFH/BFSK with product combining over partial-band jammed Rayleigh fading channels",

abstract = "Product combining (PC) is a well-known diversity technique that effectively combat the effect of partial-band jamming (PBJ) affecting fast-frequency-hopping/frequency-shift-keying systems. In this paper, we rely on the theory of H-function random variables to present an approach for the average BER evaluation of PC over partial-band jammed Rayleigh fading channels. The final closed-form formula is expressed in terms of the Meijer's G-function, which can be easily evaluated using common mathematical softwares for small values of the diversity order. Based on this result we also develop an infinite series representation for the average BER. Numerical experiments show that the latter series representation offer a speed-up factor in evaluating the average BER especially for high values of the diversity order. The mathematical formalism is illustrated by some numerical examples showing the effect of various parameters on the performance of the system.",

author = "Gang Huo and Alouini, {Mohamed Slim}",

year = "2001",

doi = "10.1109/VTC.2001.957174",

language = "English (US)",

volume = "4",

pages = "2374--2378",

journal = "IEEE Vehicular Technology Conference",

issn = "0740-0551",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

number = "54ND",

}

TY - JOUR

T1 - H-functions and BER analysis of FFH/BFSK with product combining over partial-band jammed Rayleigh fading channels

AU - Huo, Gang

AU - Alouini, Mohamed Slim

PY - 2001

Y1 - 2001

N2 - Product combining (PC) is a well-known diversity technique that effectively combat the effect of partial-band jamming (PBJ) affecting fast-frequency-hopping/frequency-shift-keying systems. In this paper, we rely on the theory of H-function random variables to present an approach for the average BER evaluation of PC over partial-band jammed Rayleigh fading channels. The final closed-form formula is expressed in terms of the Meijer's G-function, which can be easily evaluated using common mathematical softwares for small values of the diversity order. Based on this result we also develop an infinite series representation for the average BER. Numerical experiments show that the latter series representation offer a speed-up factor in evaluating the average BER especially for high values of the diversity order. The mathematical formalism is illustrated by some numerical examples showing the effect of various parameters on the performance of the system.

AB - Product combining (PC) is a well-known diversity technique that effectively combat the effect of partial-band jamming (PBJ) affecting fast-frequency-hopping/frequency-shift-keying systems. In this paper, we rely on the theory of H-function random variables to present an approach for the average BER evaluation of PC over partial-band jammed Rayleigh fading channels. The final closed-form formula is expressed in terms of the Meijer's G-function, which can be easily evaluated using common mathematical softwares for small values of the diversity order. Based on this result we also develop an infinite series representation for the average BER. Numerical experiments show that the latter series representation offer a speed-up factor in evaluating the average BER especially for high values of the diversity order. The mathematical formalism is illustrated by some numerical examples showing the effect of various parameters on the performance of the system.

UR - http://www.scopus.com/inward/record.url?scp=0035177407&partnerID=8YFLogxK

U2 - 10.1109/VTC.2001.957174

DO - 10.1109/VTC.2001.957174

M3 - Article

AN - SCOPUS:0035177407

SN - 0740-0551

VL - 4

SP - 2374

EP - 2378

JO - IEEE Vehicular Technology Conference

JF - IEEE Vehicular Technology Conference

IS - 54ND

M1 - 92

ER -

H-functions and BER analysis of FFH/BFSK with product combining over partial-band jammed Rayleigh fading channels

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this