Performance bound for time delay and amplitude estimation from low rate samples of pulse trains

Ciprian R. Comsa, Alexander Haimovich

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Scopus citations

Abstract

The problem considered is estimating the time delays and amplitudes of a train of pulses of known shape. It was recently shown that in the absence of noise, if the pulses are short relative to the interval separating them, the stream of pulses can be sampled at rates lower than the Nyquist rate without any loss of information. This paper investigates the performance of time delay and amplitude estimation from samples taken at low (sub-Nyquist) rates when the stream of pulses is affected by additive white Gaussian noise. To this end, the Cramér-Rao bound (CRB) is developed. For a particular setup, the CRB for time delay estimation is inverse proportional to the cube of the sampling rate, while the CRB for amplitude estimation is inverse proportional to the sampling rate. Numerical simulations confirm this result.

Original languageEnglish (US)
Title of host publicationProceedings of the 20th European Signal Processing Conference, EUSIPCO 2012
Pages455-459
Number of pages5
StatePublished - Nov 27 2012
Event20th European Signal Processing Conference, EUSIPCO 2012 - Bucharest
Duration: Aug 27 2012Aug 31 2012

Other

Other20th European Signal Processing Conference, EUSIPCO 2012
CityBucharest
Period8/27/128/31/12

All Science Journal Classification (ASJC) codes

  • Signal Processing
  • Electrical and Electronic Engineering

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