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

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

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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.

Inspec keywords: ultra wideband communication; multi-access systems; frequency modulation; filtering theory; quadratic programming

Other keywords: orthogonal waveform; orthogonal Hermite-Rodriguez basis functions; spectrally efficient ultrawideband waveform; very low power spectral density regulation; spectral constraint; quadratic semiinfinite programming problem; multiuser system; orthogonality constraint; Hermite-Rodriguez based waveform; linear frequency modulation; transmitted signal; Hermite-Rodriguez functions

Subjects: Filtering methods in signal processing; Radio links and equipment; Optimisation techniques; Modulation and coding methods

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