Spectrally Compliant Waveforms for UWB Radio with an Auto-Correlation Criterion

Sood, R.; Xiao, Han

doi:10.1109/vetecs.2009.5073860

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A Design Principles Of This Paper1

B Determining the Direction Of Descent And Step-size1

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2009

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“…An application of the proposed method to waveform design for digital communications is presented in [6]. In that paper, we have analyzed the effect of the monocycle ACF on ultra-wideband (UWB) communications in multipath fading channels [1].…”

Section: A Design Principles Of This Papermentioning

confidence: 99%

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Pulse Waveforms with a Correlation Criterion for Synthetic Aperture Imaging Systems

Sood

Xiao

2009

VTC Spring 2009 - IEEE 69th Vehicular Technology Conference

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We introduce a method for the synthesis of pulse waveforms that possess a given time-bandwidth product, have narrow auto-correlation functions, and simultaneously, small cross-correlation functions. Pulse sets with such characteristics are desirable in various contexts in communications and ranging applications: the narrow auto-correlation property provides noise-immunity and enhances temporal resolution, while small cross-correlations minimize mutual interference in multipleaccess systems. We leverage the energy concentration property of the prolate spheroidal wave functions to ensure small pairwise cross-correlations, and develop an iterative algorithm that enforces a desired shape on the auto-correlation functions of the resulting waveforms. The effectiveness of the method is illustrated with examples: the correlation functions of the pulses that we obtain show significant improvements over those of PN sequences, and of pulses obtained by a previously reported method.

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Section: A Design Principles Of This Papermentioning

confidence: 99%

“…1(a)). The algorithm makes steady progress in decreasing the distance of b (ν) from P(b (ν) ), until inclusion is achieved at ν = 6, meaning that b (6) is feasible. Fig.…”

Section: B Determining the Direction Of Descent And Step-sizementioning

confidence: 99%