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A spline-based algorithm for continuous time-delay estimation using sampled data.

Publication ,  Journal Article
Viola, F; Walker, WF
Published in: IEEE transactions on ultrasonics, ferroelectrics, and frequency control
January 2005

Time delay estimation (TDE) lies at the heart of signal processing algorithms in a broad range of application areas, including communications, coherent imaging, speech processing, and acoustics. In medical ultrasound for example, TDE is used in blood flow estimation, tissue motion measurement, tissue elasticity estimation, phase aberration correction, and a number of other algorithms. Because of its central significance, TDE accuracy, precision, and computational cost are of critical importance. Furthermore, because TDE is typically performed on sampled signals-and delay estimates are usually desired over a continuous domain-time delay estimator performance should be considered in conjunction with associated interpolation. In this paper we present a new time-delay estimator that directly determines continuous time-delay estimates from sampled data. The technique forms a spline-based, piecewise continuous representation of the reference signal then solves for the minimum of the sum squared error between the reference and the delayed signals to determine their relative time delay. Computer simulation results clearly show that the proposed algorithm significantly outperforms other algorithms in terms of jitter and bias over a broad range of conditions. We also describe a modified version of the algorithm that includes companding with only a minor increase in computational cost.

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Published In

IEEE transactions on ultrasonics, ferroelectrics, and frequency control

DOI

EISSN

1525-8955

ISSN

0885-3010

Publication Date

January 2005

Volume

52

Issue

1

Start / End Page

80 / 93

Related Subject Headings

  • Ultrasonography
  • Time Factors
  • Signal Processing, Computer-Assisted
  • Sensitivity and Specificity
  • Sample Size
  • Reproducibility of Results
  • Numerical Analysis, Computer-Assisted
  • Information Storage and Retrieval
  • Image Interpretation, Computer-Assisted
  • Image Enhancement
 

Citation

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Viola, F., & Walker, W. F. (2005). A spline-based algorithm for continuous time-delay estimation using sampled data. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 52(1), 80–93. https://doi.org/10.1109/tuffc.2005.1397352
Viola, Francesco, and William F. Walker. “A spline-based algorithm for continuous time-delay estimation using sampled data.IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 52, no. 1 (January 2005): 80–93. https://doi.org/10.1109/tuffc.2005.1397352.
Viola F, Walker WF. A spline-based algorithm for continuous time-delay estimation using sampled data. IEEE transactions on ultrasonics, ferroelectrics, and frequency control. 2005 Jan;52(1):80–93.
Viola, Francesco, and William F. Walker. “A spline-based algorithm for continuous time-delay estimation using sampled data.IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 52, no. 1, Jan. 2005, pp. 80–93. Epmc, doi:10.1109/tuffc.2005.1397352.
Viola F, Walker WF. A spline-based algorithm for continuous time-delay estimation using sampled data. IEEE transactions on ultrasonics, ferroelectrics, and frequency control. 2005 Jan;52(1):80–93.

Published In

IEEE transactions on ultrasonics, ferroelectrics, and frequency control

DOI

EISSN

1525-8955

ISSN

0885-3010

Publication Date

January 2005

Volume

52

Issue

1

Start / End Page

80 / 93

Related Subject Headings

  • Ultrasonography
  • Time Factors
  • Signal Processing, Computer-Assisted
  • Sensitivity and Specificity
  • Sample Size
  • Reproducibility of Results
  • Numerical Analysis, Computer-Assisted
  • Information Storage and Retrieval
  • Image Interpretation, Computer-Assisted
  • Image Enhancement