Optimal doppler frequency estimators for ultrasound and optical coherence tomography

Aaron C. Chan, Edmund Y. Lam, Vivek Srinivasan

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

2 Scopus citations

Abstract

The Kasai autocorrelation estimator is widely used in Doppler optical coherence tomography and ultrasound to determine blood velocities. However, as a non-parametric estimator, it may not be optimal. Assuming an additive white Gaussian noise (AWGN) model, we show that the Kasai estimator variance is far from the Cramer-Rao lower bound. Moreover, paradoxically, the Kasai estimator performance degrades as the acquisition rate is increased. By contrast, the additive white Gaussian noise maximum likelihood estimator (AWGN MLE) variance asymptotically approaches the Cramer-Rao lower bound, making it a better estimator at high acquisition rates. Nevertheless, the Kasai estimator outperforms the AWGN MLE under moderate levels of multiplicative decorrelation noise, and could therefore be considered more robust. These findings motivate further work in maximum likelihood estimators under conditions of both additive and multiplicative noise.

Original languageEnglish (US)
Title of host publication2012 IEEE Biomedical Circuits and Systems Conference
Subtitle of host publicationIntelligent Biomedical Electronics and Systems for Better Life and Better Environment, BioCAS 2012 - Conference Publications
Pages264-267
Number of pages4
DOIs
StatePublished - Dec 1 2012
Externally publishedYes
Event2012 IEEE Biomedical Circuits and Systems Conference: Intelligent Biomedical Electronics and Systems for Better Life and Better Environment, BioCAS 2012 - Hsinchu, Taiwan, Province of China
Duration: Nov 28 2012Nov 30 2012

Other

Other2012 IEEE Biomedical Circuits and Systems Conference: Intelligent Biomedical Electronics and Systems for Better Life and Better Environment, BioCAS 2012
CountryTaiwan, Province of China
CityHsinchu
Period11/28/1211/30/12

Keywords

  • Cramer-Rao bounds
  • Doppler optical coherence tomography
  • Doppler ultrasound
  • frequency estimation
  • maximum likelihood estimation

ASJC Scopus subject areas

  • Hardware and Architecture
  • Biomedical Engineering

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  • Cite this

    Chan, A. C., Lam, E. Y., & Srinivasan, V. (2012). Optimal doppler frequency estimators for ultrasound and optical coherence tomography. In 2012 IEEE Biomedical Circuits and Systems Conference: Intelligent Biomedical Electronics and Systems for Better Life and Better Environment, BioCAS 2012 - Conference Publications (pp. 264-267). [6418446] https://doi.org/10.1109/BioCAS.2012.6418446