Error characterization of duty cycle estimation for sampled non-band-limited pulse signals with finite observation period

Hans-Peter Bernhard, Bernhard Etzlinger, Andreas Springer

Research output: Conference proceeding/Chapter in Book/Report/Conference Paperpeer-review

Abstract

In many applications the pulse duration of a periodic pulse signal is the parameter of interest. Thereby, the non-band-limited pulse signal is sampled during a finite observation period yielding to aliasing and windowing effects, respectively. In this work, the pulse duration estimation based on the mean value of the samples is considered, and an exact expression of the mean squared estimation error (averaged over all possible time shifts) is derived. The resulting mean squared error expression depends on the observation period, the pulse period and the pulse duration. Analyzing the effect of these parameters shows that the mean squared error can be reduced (i) if the observation period is a multiple of the pulse period, (ii) if the pulse period is not a multiple of the sampling period, and (iii) if the total number of samples is a prime number. All results were validated with simulation results.
Original languageEnglish
Title of host publication2016 24th European Signal Processing Conference (EUSIPCO)
PublisherIEEE Computer Society
Pages2136-2140
Number of pages5
ISBN (Print)978-1-5090-1891-8
DOIs
Publication statusPublished - 2 Sep 2016
Externally publishedYes
Event2016 24th European Signal Processing Conference (EUSIPCO) - Budapest, Hungary
Duration: 29 Aug 20162 Sep 2016

Publication series

Name2016 24th European Signal Processing Conference (EUSIPCO)

Conference

Conference2016 24th European Signal Processing Conference (EUSIPCO)
Period29/08/162/09/16

Keywords

  • Frequency-domain analysis
  • Estimation error
  • Signal processing
  • Europe
  • Ultrasonic variables measurement
  • Pulse measurements
  • Sampling error
  • Wireless sensor networks (WSN)
  • Synchronization
  • Sampling process
  • Signal reconstruction
  • Localization
  • Band width
  • Ultrasonic

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