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Conference Paper: Doppler Frequency Estimators under Additive and Multiplicative Noise

TitleDoppler Frequency Estimators under Additive and Multiplicative Noise
Authors
Issue Date2013
PublisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xml?WT.svl=mddp2
Citation
Conference 8571 - Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XVII, San Francisco, United States, 4 -6 February 2013. In Proceedings of SPIE, 2013, v. 8571, p. article no. 85712H How to Cite?
AbstractIn optical coherence tomography (OCT), unbiased and low variance Doppler frequency estimators are desirable for blood velocity estimation. Hardware improvements in OCT mean that ever higher acquisition rates are possible. However, it is known that the Kasai autocorrelation estimator, unexpectedly, performs worse as acquisition rates increase. Here we suggest that maximum likelihood estimators (MLEs) that utilize prior knowledge of noise statistics can perform better. We show that the additive white Gaussian noise maximum likelihood estimator (AWGN MLE) has a superior performance to the Kasai autocorrelation estimate under additive shot noise conditions. It can achieve the Cramer-Rao Lower Bound (CRLB) for moderate data lengths and signal-to-noise ratios (SNRs). However, being a parametric estimator, it has the disadvantages of sensitivity to outliers, signal contamination and deviations from noise model assumptions. We show that under multiplicative decorrelation noise conditions, the AWGN MLE performance deteriorates, while the Kasai estimator still gives reasonable estimates. Hence, we further develop a multiplicative noise MLE for use under multiplicative noise dominant conditions. According to simulations, this estimator is superior to both the AWGN MLE and the Kasai estimator under these conditions, but requires knowledge of the decorrelation statistics. It also requires more computation. For actual data, the decorrelation MLE appears to perform adequately without parameter optimization. Hence we conclude that it is preferable to use a maximum likelihood approach in OCT Doppler frequency estimation when noise statistics are known or can be accurately estimated.
Persistent Identifierhttp://hdl.handle.net/10722/186792
ISBN
ISSN
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChan, CWAen_US
dc.contributor.authorLam, EYMen_US
dc.contributor.authorSrinivasan, Ven_US
dc.date.accessioned2013-08-20T12:19:31Z-
dc.date.available2013-08-20T12:19:31Z-
dc.date.issued2013en_US
dc.identifier.citationConference 8571 - Optical Coherence Tomography and Coherence Domain Optical Methods in Biomedicine XVII, San Francisco, United States, 4 -6 February 2013. In Proceedings of SPIE, 2013, v. 8571, p. article no. 85712Hen_US
dc.identifier.isbn9780819493408-
dc.identifier.issn0277-786X-
dc.identifier.urihttp://hdl.handle.net/10722/186792-
dc.description.abstractIn optical coherence tomography (OCT), unbiased and low variance Doppler frequency estimators are desirable for blood velocity estimation. Hardware improvements in OCT mean that ever higher acquisition rates are possible. However, it is known that the Kasai autocorrelation estimator, unexpectedly, performs worse as acquisition rates increase. Here we suggest that maximum likelihood estimators (MLEs) that utilize prior knowledge of noise statistics can perform better. We show that the additive white Gaussian noise maximum likelihood estimator (AWGN MLE) has a superior performance to the Kasai autocorrelation estimate under additive shot noise conditions. It can achieve the Cramer-Rao Lower Bound (CRLB) for moderate data lengths and signal-to-noise ratios (SNRs). However, being a parametric estimator, it has the disadvantages of sensitivity to outliers, signal contamination and deviations from noise model assumptions. We show that under multiplicative decorrelation noise conditions, the AWGN MLE performance deteriorates, while the Kasai estimator still gives reasonable estimates. Hence, we further develop a multiplicative noise MLE for use under multiplicative noise dominant conditions. According to simulations, this estimator is superior to both the AWGN MLE and the Kasai estimator under these conditions, but requires knowledge of the decorrelation statistics. It also requires more computation. For actual data, the decorrelation MLE appears to perform adequately without parameter optimization. Hence we conclude that it is preferable to use a maximum likelihood approach in OCT Doppler frequency estimation when noise statistics are known or can be accurately estimated.-
dc.languageengen_US
dc.publisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xml?WT.svl=mddp2-
dc.relation.ispartofProceedings of SPIE - International Society for Optical Engineeringen_US
dc.rightsProceedings of SPIE - International Society for Optical Engineering. Copyright © S P I E - International Society for Optical Engineering.-
dc.rightsCopyright notice format: Copyright 2013 Society of Photo-Optical Instrumentation Engineers. One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleDoppler Frequency Estimators under Additive and Multiplicative Noiseen_US
dc.typeConference_Paperen_US
dc.identifier.emailLam, EYM: elam@eee.hku.hken_US
dc.identifier.authorityLam, EYM=rp00131en_US
dc.description.naturepublished_or_final_version-
dc.identifier.doi10.1117/12.2001188-
dc.identifier.scopuseid_2-s2.0-84877857739-
dc.identifier.hkuros220498en_US
dc.identifier.volume8571-
dc.identifier.spagearticle no. 85712H-
dc.identifier.epagearticle no. 85712H-
dc.identifier.isiWOS:000322744300033-
dc.publisher.placeUnited States-

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