An Axial Velocity Estimator for Ultrasound Blood Flow Imaging, Based on a Full Evaluation of the Doppler Equation by Means of a Two-Dimensional Autocorrelation Approach

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control

Volumn 42, Issue 4, 1995, Pages 672-688

  Loupas, Thanasis ^a   Gill, Robert W ^a   Powers, J T ^b  

^a Ultrasonics Laboratory Division of Radiophysics CSIRO ^*  (Australia)

^b Advanced Technology Laboratories   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COLOR IMAGE PROCESSING; COMPUTATIONAL COMPLEXITY; COMPUTATIONAL METHODS; CORRELATION METHODS; DOPPLER EFFECT; FOURIER TRANSFORMS; HEMODYNAMICS; MEDICAL IMAGING; PARAMETER ESTIMATION; SIGNAL TO NOISE RATIO; TIME DOMAIN ANALYSIS; VELOCITY;

DOPPLER EQUATION; TWO DIMENSIONAL AUTOCORRELATION APPROACH; VELOCITY ESTIMATOR;

ULTRASONIC IMAGING;

EID: 0029344834     PISSN: 08853010     EISSN: None     Source Type: Journal    
DOI: 10.1109/58.393110     Document Type: Article

References (49)

1. P. N. T. Wells, “Physical and technical aspects of color flow ultrasound,” in Diagnostic Vascular Ultrasound, K. H. Labs, K. A. Jager, D. E. Fitzgerald, J. P. Woodcock, and D. Neuerburg-Heusler, Eds. London: Edward Arnold, 1992, pp. 145–153.
2. C. Kasai, K. Namekawa, A. Koyano, and R. Omoto, “Real-time two-dimensional blood flow imaging using an autocorrelation technique,” IEEE Trans. Son. Ultrason., vol. SU-32, pp. 458–464, 1985.
3. D. H. Evans, W. N. McDicken, R. Skidmore, and J. P. Woodcock, Doppler Ultrasound: Physics, Instrumentation and Clinical Applications. Chichester: Wiley, 1989.
4. C. R. Deanne, F. Forsberg, N. Thomas, and V. C. Roberts, “Accuracy of color Doppler ultrasound velocity measurements in small vessels,” J. Biomed. Eng., vol. 13, pp 249–254, 1991.
5. O. Bonnefous and P. Pesque, “Time-domain formulation of pulse Doppler ultrasound and blood velocity estimation by cross correlation,” Ultrason. Imag., vol. 8, pp. 73–85, 1986.
6. O. Bonnefous, P. Pesque, and X. Bernard, “A new velocity estimator for color flow mapping,” in Proc. IEEE Ultrason. Symp., 1986, pp. 855–860.
7. S. G. Foster, P. M. Embree, and W. D. O'Brien Jr., “Flow velocity profile via time domain correlation: Error analysis and computer sim-ulation,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 37, pp. 164–175, 1990.
8. P. M. Embree and W. D. O'Brien Jr., “Volumetric blood flow via time-domain correlation: Experimental verification,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 37, pp. 176–189, 1990.
9. J. A. Hein, J. T. Chen, W. K. Jenkins, and W. D. O'Brien Jr., “A real-time ultrasound time-domain correlation blood flowmeter: Part I—Theory and design,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 40, pp. 768–775, 1993.
10. J. A. Hein and W. D. O'Brien Jr. “A real-time ultrasound time-domain correlation blood flowmeter: Part II—Performance and experimental verification,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 40, pp. 776–785, 1993.
11. K. W. Ferrara and V. R. Algazi, “A new wideband spread target maximum likelihood estimator for blood flow velocity estimation-Part I : Theory,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 38, pp. 1–16, 1991.
12. K. W. Ferrara and V. R. Algazi, “A new wideband spread target maximum likelihood estimator for blood flow verlocity estimation-Part II: Evaluation of estimators,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 38, pp. 17–26, 1991.
13. P. G. M. De Jong, T. Arts, A. P. G. Hoeks, and R. S. Reneman, “Determination of tissue velocity by correlation interpolation of pulsed ultrasonic signals,” Ultrason. Imag., vol. 12, pp. 84–98, 1990.
14. P. G. M. De Jong, T. Arts, A. P. G. Hoeks, and R. S. Reneman, “Experimental evaluation of the correlation interpolation technique to measure regional tissue velocity,” Ultrason. Imag., vol. 13, pp. 145–161, 1991.
15. A. P. G. Hoeks, T. G. J. Arts, P. J. Brands, and R. S. Reneman, “Comparison of the performance of the RF cross correlation and Doppler autocorrelation technique to estimate the mean velocity of simulated ultrasound signals,” Ultrasound Med. Biol., vol. 19, pp. 727–740, 1993.
16. J. A. Hein and W. D. O'Brien Jr., “Current time-domain methods for assessing tissue motion by analysis of reflected ultrasound echoes-A review,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 40, pp. 84–102, 1993.
17. W. T. Mayo and P. M. Embree, U.S. Patent Number 4930513, June 5, 1990.
18. L. S. Wilson, “Description of broad-band pulsed Doppler ultrasound processing using the two-dimensional Fourier transform,” Ultrason. Imag., vol. 13, pp. 301–315, 1991.
19. T. Loupas and R. W. Gill, “Multi-frequency Doppler: Improving the quality of spectral estimation by making full use of the information present in the backscattered RF echoes,” IEEE Trans. Ultrason. Ferro-elect. Freq. Cont., vol. 41, pp. 522–531, 1994.
20. O. Bonnefoous, “Time domain color flow imaging: Methods and benefits compared to Doppler,” Acoustical Imag., vol. 19, pp. 301–309, 1992.
21. J. S. Lim, Two-dimensional Signal and Image Processing. Englewood Cliffs: Prentice Hall, 1990.
22. R. Bracewell, The Fourier Transform and its Applications. New-York: McGraw-Hill, 1965.
23. D. W. Rickey, R. Rankin, and A. Fenster, “A velocity evaluation phantom for color and pulsed Doppler instruments,” Ultrasound Med. Biol., vol. 18, pp. 479–494, 1992.
24. J. G. Proakis and D. G. Manolakis, Introduction to Digital Signal Processing. New York: Macmillan, 1988.
25. K. Kristoffersen, “Optimal receiver filtering in pulsed Doppler ultrasound blood velocity measurements,” IEEE Trans. Ultrason. Ferroelect.
26. Freq. Cont., vol. 33, pp. 51–58, 1986.
27. G. T. Herman, Image Reconstruction from Projections. New York: Academic Press, 1980.
28. K. S. Miller and M. M. Rochwarger, “A covariance approach to spectral moment estimation,” IEEE Trans. Inform. Theory, vol. IT-18, pp. 588–596, 1972.
29. D. S. Zrnic, “Spectral moment estimates from correlated pulse pairs,” IEEE Trans. Aerospace Elect. Syst., vol. 13, pp. 344–354, 1977.
30. G. H. Leeuwen, A. P. G. Hoeks, and R. S. Reneman, “Simulation of real-time frequency estimators for pulsed Doppler systems,” Ultrason. Imag., vol. 8, pp. 252–271, 1986.
31. K. Kristoffersen, “Time domain estimation of the center frequency and spread of the Doppler spectra in diagnostic ultrasound,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 35, pp. 685–700, 1988.
32. A. Herment, G. Demoment, J. P. Guglielmi, Ph. Dumee, and C. Pellot, “Adaptive estimation of the mean frequency of a Doppler signal from short data windows,” Ultrasound Med. Biol., vol. 9, pp. 901–919, 1991.
33. T. Loupas and W. N. McDicken, “Low-order complex AR models for mean and maximum frequency estimation in the context of color flow mapping,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 37, pp. 890–901, 1990.
34. Y. B. A. Ahn and B. P. Song, “Estimation of mean frequency and variance of ultrasonic Doppler signal by using second-order autoregressive model,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 38, pp. 172–182, 1991.
35. J. S. Bendat and A. G. Piersol, Engineering Applications of Correlation and Spectral Analysis. New York: Wiley, 1980.
36. Special Issue on Time Delay Estimation, IEEE Trans. Acoust. Speech Signal Processing, vol. 29, no. 3, Part II, Jun. 1981.
37. R. C. Cabot, “A note on the application of Hilbert transform to time delay estimation,” IEEE Trans. Acoust. Speech Signal Processing, vol. ASSP-29, pp. 607–609, 1981.
38. A. Papoulis, Probability, Random Variables and Stochastic Processes. Tokyo: McGraw-Hill, 1981.
39. D. A. Seggie and S. Leeman, “Deterministic approach towards ultrasound speckle reduction,” IEE Proc.-Part A, vol. 134, pp. 188–192, 1987.
40. R. Moddemeijer, “On the determination of position of extrema of sampled correlators,” IEEE Trans. Signal Processing, vol. 39, pp. 217–219, 1991.
41. G. Jacovitti and G. Scarano, “Discrete time techniques for time delay estimation,” IEEE Trans. Signal Processing, vol. 41, pp. 525–533, 1993.
42. J. A. Jensen, “Range/velocity limitations for time-domain blood velocity estimation,” Ultrasound Med. Biol., vol. 19, pp. 741–749, 1993.
43. J. P. Ianniello, “Time delay estimation via cross-correlation in the presence of large estimation errors,” IEEE Trans. Acoust. Speech Signal Processing, vol. ASSP-30, pp. 998–1003, 1982.
44. G. C. Carter, “Coherence and time delay estimation,” Proc. IEEE, vol. 75, pp. 236–255, 1987.
45. K. Scarbrough, N. Ahmed, and G. C. Carter, “On the simulation of a class of time delay estimation algorithms,” IEEE Trans. Acoust. Speech Signal Processing, vol. ASSP-29, pp. 534–540, 1981.
46. A. Fertner and A. Sjolund, “Comparison of various time delay estimation methods by computer simulation,” IEEE Trans. Acoust. Speech Signal Processing, vol. 34, pp. 1329–1331, 1986.
47. L. A. Bohs, B. H. Friemel, B. A. McDermott, and G. E. Trahey, “A realtime system for quantifying and displaying two-dimensional velocities using ultrasound,” Ultrasound Med. Biol., vol. 19, pp. 751–761, 1993.
48. R. B. Kuc, “Application of Kalman filtering techniques to diagnostic ultrasound,” Ultrason. Imag., vol. 1, pp. 105–120, 1979.
49. K. W. Ferrara, V. R. Algazi, and J. Liu, “The effect of frequency dependent scattering and attenuation on the estimation of blood velocity using ultrasound,” IEEE Trans. Ultrason. Ferroelect. Freq. Cont., vol. 39, pp. 754–767, 1992.