Maximum Likelihood Estimator, FFT Estimator and Cramér-Rao bounds of the laser Doppler frequency: The effect of a particle trajectory through the measurement volume

Lu Zhang, Janusz Kulon, Yong Yan

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

Abstract

This paper addresses the problem of estimating the Doppler frequency in Laser Doppler Velocimetry (LDV) systems by taking into account the effect of the particle trajectory via the measurement volume. The dependency of the burst length on the Cramér-Rao lower bound (CRLB) and the Doppler frequency estimation is investigated by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope. The Maximum Likelihood Estimator (MLE) equations are solved for estimates of the Doppler frequency for LDV systems operating in one particle scattering mode. The numerical examples show the performance of the MLE and FFT with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.
Original languageEnglish
Title of host publication2015 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Proceedings
PublisherInstitute of Electrical and Electronics Engineers
Pages1198-1203
Number of pages6
ISBN (Electronic)978-1-4799-6114-6
DOIs
Publication statusPublished - 11 May 2015
Event2015 IEEE International Instrumentation and Measurement Technology Conference: The Measurable of Tomorrow: Providing a Better Perspective on Complex Systems - Palazzo dei Congressi, Pisa, Italy
Duration: 11 May 201514 May 2015

Conference

Conference2015 IEEE International Instrumentation and Measurement Technology Conference
Abbreviated titleI2MTC
Country/TerritoryItaly
CityPisa
Period11/05/1514/05/15

Keywords

  • Power measurement
  • Volume measurement
  • Size measurement
  • Convergence

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