A simulation of transit time effects in Doppler ultrasound signals.

A signal model is proposed which can be used to study frequency extraction techniques for Doppler ultrasound. The signal is based on the physics of the Doppler process and depends on a sliding window used to average a set of independent Gaussian random numbers. This window is related to the shape of the sample volume for the Doppler pulse and depends on the Doppler angle. Simulation results compare favorably with results from flow experiments in terms of the variance of the estimated Doppler shift, the shape of the power spectra and the behavior of the signals with respect to Burg autoregressive power spectra. A potential use of the signal in the study of spectral analysis techniques is presented.

[1]  Jeffrey W. Eberhard,et al.  A New Time Domain Technique for Velocity Measurements Using Doppler Ultrasound , 1985, IEEE Transactions on Biomedical Engineering.

[2]  W R Brody,et al.  Theoretical analysis of the CW doppler ultrasonic flowmeter. , 1974, IEEE transactions on bio-medical engineering.

[3]  Joseph L. Garbini,et al.  Measurement of fluid turbulence based on pulsed ultrasound techniques. Part 1. Analysis , 1977 .

[4]  L. Mandel.  Interpretation of Instantaneous Frequencies , 1974 .

[5]  R. Reneman,et al.  Simulation of real-time frequency estimators for pulsed Doppler systems. , 1986, Ultrasonic imaging (Print).

[6]  V. Newhouse,et al.  Ultrasound Doppler Probing of Flows Transverse with Respect to Beam Axis , 1987, IEEE Transactions on Biomedical Engineering.

[7]  Joseph L. Garbini,et al.  Measurement of fluid turbulence based on pulsed ultrasound techniques. Part 2. Experimental investigation , 1982 .

[8]  R. Cobbold,et al.  "Speckle" in Continuous Wave Doppler Ultrasound Spectra: A Simulation Study , 1986, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[9]  L. William Varner,et al.  Geometrical Spectrum Broadening in Ultrasonic Doppler Systems , 1977, IEEE Transactions on Biomedical Engineering.

[10]  V. Newhouse,et al.  Generalized Doppler effect: coherent and incoherent spectra , 1988 .

[11]  Athanasios Papoulis,et al.  Probability, Random Variables and Stochastic Processes , 1965 .

[12]  A C Kak,et al.  An analytical study of Doppler ultrasound systems. , 1985, Ultrasonic imaging.

[13]  R I Kitney,et al.  Maximum likelihood frequency tracking of the audio pulsed Doppler ultrasound signal using a Kalman filter. , 1988, Ultrasound in medicine & biology.