A New Time-Domain Narrowband Velocity Estimation Technique for Doppler Ultrasound Flow Imaging. Part I: Theory

Peter J. Vaitkus and Richard S. C. Cobbold

Abstract A significant improvement in blood velocity estimation accuracy can be achieved by simultaneously processing both temporal and spatial information obtained from a sample volume. Use of the spatial information becomes especially important when the temporal resolution is limited. By using a two-dimensional sequence of spatially sampled Doppler signal “snapshots” an improved estimate of the Doppler correlation matrix can be formed. Processing Doppler data in this fashion addresses the range-velocity spread nature of the distributed red blood cell target, leading to a significant reduction in spectral speckle. Principal component spectral analysis of the “snapshot” correlation matrix is shown to lead to a new and robust Doppler mode frequency estimator. By processing only the dominant subspace of the Doppler correlation matrix, the Cramér-Rao bounds on the estimation error of target velocity is significantly reduced in comparison to traditional narrowband blood velocity estimation methods and achieves almost the same local accuracy as a wideband estimator. A time-domain solution is given for the velocity estimate using the root-MUSIC algorithm, which makes the new estimator attractive for real-time implementation.

1998 IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 45:939-954

© 1998, by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

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