Brett Byram
Last active: 4/3/2018

Effect of prior probability quality on biased time-delay estimation.

Byram BC, Trahey GE, Palmeri ML
Ultrason Imaging. 2012 34 (2): 65-80

PMID: 22724313 · PMCID: PMC3493255 · DOI:10.1177/016173461203400201

When properly constructed, biased estimators are known to produce lower mean-square errors than unbiased estimators. A biased estimator for the problem of ultrasound time-delay estimation was recently proposed. The proposed estimator incorporates knowledge of adjacent displacement estimates into the final estimate of a displacement. This is accomplished by using adjacent estimates to create a prior probability on the current estimate. Theory and simulations are used to investigate how the prior probability impacts the final estimate. The results show that with estimation quality on the order of the Cramer-Rao lower bound at adjacent locations, the local estimate in question should generally exceed the Cramer-Rao lower-bound limitations on performance of an unbiased estimator. The results as a whole provide additional confidence for the proposed estimator.

MeSH Terms (8)

Bayes Theorem Bias Computer Simulation Models, Statistical Probability Signal-To-Noise Ratio Time Ultrasonography

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