Skip to main content

A Fundamental Limit on the Performance of Correlation Based Phase Correction and Flow Estimation Techniques

Publication ,  Journal Article
Walker, WF; Trahey, GE
Published in: IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
January 1, 1994

Cross correlation and similar operations are used in ultrasonic imaging to estimate blood or soft tissue motion in one or more dimensions and to measure echo arrival time differences for phase aberration correction. These estimates are subject to large errors known as false peaks and smaller magnitude errors known as jitter. While false peaks can sometimes be removed through nonlinear processing, jitter errors place a fundamental limit on the performance of delay estimation techniques. This paper applies the Cramér-Rao Lower Bound to derive analytical expressions which predict the magnitude of jitter for 1-D and 2-D problems using both radio frequency (RF) and envelope detected data. One-dimensional simulation results are presented which closely match theoretical predictions. These results indicate that for typical clinical conditions axial jitter for detected data is approximately five times greater than that for RF data. Lateral jitter is approximately ten times greater than axial jitter for RF data. Examples are presented which utilize these results to predict the performance of phase aberration correction and flow estimation systems. © 1994 IEEE

Duke Scholars

Altmetric Attention Stats
Dimensions Citation Stats

Published In

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

DOI

ISSN

0885-3010

Publication Date

January 1, 1994

Volume

41

Issue

5

Start / End Page

644 / 654

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences
 

Citation

APA
Chicago
ICMJE
MLA
NLM
Walker, W. F., & Trahey, G. E. (1994). A Fundamental Limit on the Performance of Correlation Based Phase Correction and Flow Estimation Techniques. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 41(5), 644–654. https://doi.org/10.1109/58.308499
Walker, W. F., and G. E. Trahey. “A Fundamental Limit on the Performance of Correlation Based Phase Correction and Flow Estimation Techniques.” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 41, no. 5 (January 1, 1994): 644–54. https://doi.org/10.1109/58.308499.
Walker WF, Trahey GE. A Fundamental Limit on the Performance of Correlation Based Phase Correction and Flow Estimation Techniques. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1994 Jan 1;41(5):644–54.
Walker, W. F., and G. E. Trahey. “A Fundamental Limit on the Performance of Correlation Based Phase Correction and Flow Estimation Techniques.” IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, vol. 41, no. 5, Jan. 1994, pp. 644–54. Scopus, doi:10.1109/58.308499.
Walker WF, Trahey GE. A Fundamental Limit on the Performance of Correlation Based Phase Correction and Flow Estimation Techniques. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control. 1994 Jan 1;41(5):644–654.

Published In

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

DOI

ISSN

0885-3010

Publication Date

January 1, 1994

Volume

41

Issue

5

Start / End Page

644 / 654

Related Subject Headings

  • Acoustics
  • 51 Physical sciences
  • 40 Engineering
  • 09 Engineering
  • 02 Physical Sciences