Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions

Spectral efficiency is a major requirement in ultra-wideband (UWB) communication systems because of very low power spectral density (PSD) regulations imposed on the transmitted signals. Besides, large number of orthogonal waveforms is highly desirable in multiuser systems. In this study, the design...

Full description

Bibliographic Details
Main Authors: Yusoff, Mohd Amaluddin, Zang, Zhuquan, Abeysekera, S.
Format: Journal Article
Published: The Institution of Engineering and Technology 2012
Online Access:http://hdl.handle.net/20.500.11937/48294
_version_ 1848758069806235648
author Yusoff, Mohd Amaluddin
Zang, Zhuquan
Abeysekera, S.
author_facet Yusoff, Mohd Amaluddin
Zang, Zhuquan
Abeysekera, S.
author_sort Yusoff, Mohd Amaluddin
building Curtin Institutional Repository
collection Online Access
description Spectral efficiency is a major requirement in ultra-wideband (UWB) communication systems because of very low power spectral density (PSD) regulations imposed on the transmitted signals. Besides, large number of orthogonal waveforms is highly desirable in multiuser systems. In this study, the design of a set of spectrally efficient orthogonal waveforms is investigated. The design of UWB waveforms based on orthogonal Hermite–Rodriguez basis functions and linear frequency modulation (LFM) is proposed herein. The design is formulated as a quadratic semi-infinite programming problem with spectral and orthogonality constraints. Numerical examples are presented to illustrate the effectiveness of Hermite–Rodriguez based waveforms with the proposed optimisation approach. Comparison with a recent result shows that the proposed approach compares favourably with those reported in the literatures in terms of the number of waveforms can be produced and the achievable spectral efficiency of the designed waveforms.
first_indexed 2025-11-14T09:38:08Z
format Journal Article
id curtin-20.500.11937-48294
institution Curtin University Malaysia
institution_category Local University
last_indexed 2025-11-14T09:38:08Z
publishDate 2012
publisher The Institution of Engineering and Technology
recordtype eprints
repository_type Digital Repository
spelling curtin-20.500.11937-482942017-09-13T14:22:50Z Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions Yusoff, Mohd Amaluddin Zang, Zhuquan Abeysekera, S. Spectral efficiency is a major requirement in ultra-wideband (UWB) communication systems because of very low power spectral density (PSD) regulations imposed on the transmitted signals. Besides, large number of orthogonal waveforms is highly desirable in multiuser systems. In this study, the design of a set of spectrally efficient orthogonal waveforms is investigated. The design of UWB waveforms based on orthogonal Hermite–Rodriguez basis functions and linear frequency modulation (LFM) is proposed herein. The design is formulated as a quadratic semi-infinite programming problem with spectral and orthogonality constraints. Numerical examples are presented to illustrate the effectiveness of Hermite–Rodriguez based waveforms with the proposed optimisation approach. Comparison with a recent result shows that the proposed approach compares favourably with those reported in the literatures in terms of the number of waveforms can be produced and the achievable spectral efficiency of the designed waveforms. 2012 Journal Article http://hdl.handle.net/20.500.11937/48294 10.1049/iet-com.2010.1055 The Institution of Engineering and Technology restricted
spellingShingle Yusoff, Mohd Amaluddin
Zang, Zhuquan
Abeysekera, S.
Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions
title Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions
title_full Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions
title_fullStr Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions
title_full_unstemmed Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions
title_short Design of spectrally efficient ultra-wideband waveforms using Hermite–Rodriguez functions
title_sort design of spectrally efficient ultra-wideband waveforms using hermite–rodriguez functions
url http://hdl.handle.net/20.500.11937/48294