FRI SAMPLING AND RECONSTRUCTION OF ASYMMETRIC PULSES

Nagesh, Sudarshan and Seelamantula, Chandra Sekhar (2015) FRI SAMPLING AND RECONSTRUCTION OF ASYMMETRIC PULSES. In: 40th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), APR 19-24, 2014, Brisbane, AUSTRALIA, pp. 5957-5961.

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Abstract

We consider the problem of modelling asymmetric pulse trains as finite-rate-of-innovation (FRI) signals. In particular, we show that the sum of amplitude-scaled and time-shifted pulses with different asymmetry factors is an FRI signal. Such signals frequently arise in applications such as ultrasound and radio detection and ranging (RADAR) where the received signal has skewed pulses. In this paper, we model the asymmetric component of a pulse using its derivative. A sampling kernel with a sum-of-sincs frequency response is used to measure the samples, and a modified annihilating filter method is applied on the samples to estimate the parameters of the FRI signal. We show accurate reconstruction for signals containing asymmetric Gaussian, Cauchy-Lorentz, and sinc pulses. Analysis of the proposed scheme in the presence of noise shows that the error in the estimated parameters decreases by oversampling the signal.

Item Type:	Conference Proceedings
Series.:	International Conference on Acoustics Speech and Signal Processing ICASSP
Publisher:	IEEE
Additional Information:	Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Keywords:	Finite-rate-of-innovation (FRI); sampling; sumof-sincs (SoS) kernel; asymmetric pulses; annihilating filter
Department/Centre:	Division of Electrical Sciences > Electrical Engineering
Date Deposited:	19 Aug 2016 09:40
Last Modified:	19 Aug 2016 09:40
URI:	http://eprints.iisc.ac.in/id/eprint/54297

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