Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution

Qasim Ahmed, Ki-Hong Park, Mohamed-Slim Alouini

Research output: Contribution to journal › Article

13 Citations (Scopus)

Abstract

Multivariate generalized Gaussian density (MGGD) is used to approximate the multiple access interference (MAI) and additive white Gaussian noise in pulse-based ultrawide bandwidth (UWB) system. The MGGD probability density function (pdf) is shown to be a better approximation of a UWB system as compared to multivariate Gaussian, multivariate Laplacian and multivariate Gaussian-Laplacian mixture (GLM). The similarity between the simulated and the approximated pdf is measured with the help of modified Kullback-Leibler distance (KLD). It is also shown that MGGD has the smallest KLD as compared to Gaussian, Laplacian and GLM densities. A receiver based on the principles of minimum bit error rate is designed for the MGGD pdf. As the requirement is stringent, the adaptive implementation of the receiver is also carried out in this paper. Training sequence of the desired user is the only requirement when implementing the detector adaptively.
LanguageEnglish
Pages1800-1810
Number of pages11
JournalIEEE Transactions on Wireless Communications
Volume14
Issue number4
Early online date20 Nov 2014
DOIs
Publication statusPublished - Apr 2015
Externally publishedYes

Fingerprint

Gaussian distribution
Probability density function
Receiver
Bandwidth
Multiple access interference
Kullback-Leibler Distance
Bit error rate
Detectors
Multiple Access Interference
Requirements
Gaussian White Noise
Error Rate
Detector
Approximation

Cite this

Ahmed, Qasim ; Park, Ki-Hong ; Alouini, Mohamed-Slim. / Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution. In: IEEE Transactions on Wireless Communications. 2015 ; Vol. 14, No. 4. pp. 1800-1810.
@article{133c5b878f5a4b098586bd2ae01ae311,
title = "Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution",
abstract = "Multivariate generalized Gaussian density (MGGD) is used to approximate the multiple access interference (MAI) and additive white Gaussian noise in pulse-based ultrawide bandwidth (UWB) system. The MGGD probability density function (pdf) is shown to be a better approximation of a UWB system as compared to multivariate Gaussian, multivariate Laplacian and multivariate Gaussian-Laplacian mixture (GLM). The similarity between the simulated and the approximated pdf is measured with the help of modified Kullback-Leibler distance (KLD). It is also shown that MGGD has the smallest KLD as compared to Gaussian, Laplacian and GLM densities. A receiver based on the principles of minimum bit error rate is designed for the MGGD pdf. As the requirement is stringent, the adaptive implementation of the receiver is also carried out in this paper. Training sequence of the desired user is the only requirement when implementing the detector adaptively.",
keywords = "Ultrawide bandwidth, Bit error rate, Multiple access interferences, Kullback-Leibler distance",
author = "Qasim Ahmed and Ki-Hong Park and Mohamed-Slim Alouini",
year = "2015",
month = "4",
doi = "10.1109/TWC.2014.2372775",
language = "English",
volume = "14",
pages = "1800--1810",
journal = "IEEE Transactions on Wireless Communications",
issn = "1536-1276",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "4",

}

Ahmed, Q, Park, K-H & Alouini, M-S 2015, 'Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution', IEEE Transactions on Wireless Communications, vol. 14, no. 4, pp. 1800-1810. https://doi.org/10.1109/TWC.2014.2372775

Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution. / Ahmed, Qasim; Park, Ki-Hong; Alouini, Mohamed-Slim.

In: IEEE Transactions on Wireless Communications, Vol. 14, No. 4, 04.2015, p. 1800-1810.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution

AU - Ahmed, Qasim

AU - Park, Ki-Hong

AU - Alouini, Mohamed-Slim

PY - 2015/4

Y1 - 2015/4

N2 - Multivariate generalized Gaussian density (MGGD) is used to approximate the multiple access interference (MAI) and additive white Gaussian noise in pulse-based ultrawide bandwidth (UWB) system. The MGGD probability density function (pdf) is shown to be a better approximation of a UWB system as compared to multivariate Gaussian, multivariate Laplacian and multivariate Gaussian-Laplacian mixture (GLM). The similarity between the simulated and the approximated pdf is measured with the help of modified Kullback-Leibler distance (KLD). It is also shown that MGGD has the smallest KLD as compared to Gaussian, Laplacian and GLM densities. A receiver based on the principles of minimum bit error rate is designed for the MGGD pdf. As the requirement is stringent, the adaptive implementation of the receiver is also carried out in this paper. Training sequence of the desired user is the only requirement when implementing the detector adaptively.

AB - Multivariate generalized Gaussian density (MGGD) is used to approximate the multiple access interference (MAI) and additive white Gaussian noise in pulse-based ultrawide bandwidth (UWB) system. The MGGD probability density function (pdf) is shown to be a better approximation of a UWB system as compared to multivariate Gaussian, multivariate Laplacian and multivariate Gaussian-Laplacian mixture (GLM). The similarity between the simulated and the approximated pdf is measured with the help of modified Kullback-Leibler distance (KLD). It is also shown that MGGD has the smallest KLD as compared to Gaussian, Laplacian and GLM densities. A receiver based on the principles of minimum bit error rate is designed for the MGGD pdf. As the requirement is stringent, the adaptive implementation of the receiver is also carried out in this paper. Training sequence of the desired user is the only requirement when implementing the detector adaptively.

KW - Ultrawide bandwidth

KW - Bit error rate

KW - Multiple access interferences

KW - Kullback-Leibler distance

UR - http://ieeexplore.ieee.org/xpl/RecentIssue.jsp?punumber=7693

U2 - 10.1109/TWC.2014.2372775

DO - 10.1109/TWC.2014.2372775

M3 - Article

VL - 14

SP - 1800

EP - 1810

JO - IEEE Transactions on Wireless Communications

T2 - IEEE Transactions on Wireless Communications

JF - IEEE Transactions on Wireless Communications

SN - 1536-1276

IS - 4

ER -

Ahmed Q, Park K-H, Alouini M-S. Ultrawide Bandwidth Receiver Based on a Multivariate Generalized Gaussian Distribution. IEEE Transactions on Wireless Communications. 2015 Apr;14(4):1800-1810. https://doi.org/10.1109/TWC.2014.2372775

Access to Document