Pulsed Doppler accuracy assessment due to frequency-dependent attenuation and Rayleigh scattering error sources

Displacement vector measurement using instantaneous ultrasound signal phase - multidimensional autocorrelation and doppler methods

Two new methods of measuring a multidimensional displacement vector using an instantaneous ultrasound signal phase are described, i.e., the multidimensional autocorrelation method (MAM) and multidimensional Doppler method (MDM). A high measurement accuracy is achieved by combining either method with the lateral Gaussian envelope cosine modulation method (LGECMM) or multidirectional synthetic aperture method (MDSAM). Measurement accuracy is evaluated using simulated noisy echo data. Both methods yield accurate measurements comparable to that of our previously developed cross-spectrum phase gradient method (MCSPGM); however, they require less computational time (the order, MDM < MAM approximate, equals MCSPGM) and would provide realtime measurements. Moreover, comparisons of LGECMM and MDSAM performed by geometrical evaluations clarifies that LGECMM has potentials to yield more accurate measurements with less computational time. Both MAM and MDM can be applied to the measurement of tissue strain, blood flow, sonar data, and other target motions.

Derivation of correlation coefficient formula for determination of Doppler angle using time domain correlation ultrasonic flowmeter

Calculation of the Doppler angle from the correlation coefficient of two aligned windowed data sets of two echoes in the time domain correlation method has been demonstrated. By assuming ideal sound and velocity fields, it is shown that the Doppler angle can be obtained from the statistics of the reflected ultrasonic signals in time domain correlation ultrasonic flowmeter. The resolution cell is chosen to be much longer than the impulse response of the system in order that the signals reflected from the scatterers preceding and following the resolution cell will be sufficiently small that they do not contribute to the resolution cell. Hence, the truncation effects of the resolution cell on the nearby scatterers may be ignored. The mathematical derivation of correlation coefficient is presented clearly. The measurement method of Doppler angle is given from the position of two aligned resolution cells.

The effect of refraction and assumed speeds of sound in tissue and blood on Doppler ultrasound blood velocity measurements

The combined effect of three assumptions relating to refraction, the speed of sound in tissue and the speed of sound in blood on the accuracy of Doppler ultrasound blood velocity measurements has been investigated. A theoretical relationship giving the net velocity measurement error introduced by these three assumptions has derived using a model in which tissue and blood layers are separated by straight, parallel boundaries. This net error is dependent on the assumed and actual speed of sound in tissue, the assumed speed of sound in blood and the Doppler angle, but is effectively independent of the actual speed of sound in blood. For clinical blood velocity measurements, the net error is estimated to be as much as an 8% overestimation of the actual velocity, higher than previously predicted for any of the factors individually. The relationship also predicts a net velocity measurement error in experimental flow systems and string phantoms which is dependent on the speed of sound in the liquid bath. A water bath at room temperature will give an overestimation of approximately 2%. Experimental investigations using conventional and modified string phantoms and a 5-MHz linear phased array system support these conclusions. The effect of perturbing the layers from their parallel orientation has also been considered theoretically and has provided additional support for the above conclusions. These results may help more accurate Doppler velocity measurements in both experimental and clinical settings.

Current time-domain methods for assessing tissue motion by analysis from reflected ultrasound echoes-a review

The Doppler technique has traditionally been the method used to extract motion information from ultrasonic echoes reflected by moving tissues. The Doppler technique has been around for a long time, and has been extensively reviewed and analyzed in the literature. Recently, time-domain methodologies for estimating tissue motion have gained in popularity. Time-domain methods have advantages over Doppler methods in many applications, and as of yet have not been comprehensively reviewed. An overview of time-domain techniques that have appeared in the literature over the past few years is presented. Their potential advantages over Doppler are examined, and the individual techniques are compared.

A real-time ultrasound time-domain correlation blood flowmeter. I. Theory and design

A real-time ultrasound time-domain correlation (UTDC) blood flowmeter has been developed. Real-time performance has been achieved through the implementation of a custom-designed high-speed residue-number system (RNS) hardware correlator. The flowmeter is interfaced to a commercial ultrasound imager and can produce one-dimensional velocity versus range graphs at a rate of three per second. It has been validated in a blood flow phantom under a variety of conditions along with in vivo measurements in the human carotid artery. The theory of the time-domain correlation technique, design and implementation of flowmeter hardware, and the important correlation parameters which affect the performance of the flowmeter are described.

The effect of frequency dependent scattering and attenuation on the estimation of blood velocity using ultrasound

A comprehensive theoretical performance comparison of the wideband maximum-likelihood (WMLE) and cross-correlation strategies, previously proposed and evaluated for the estimation of blood velocity using ultrasound is presented. It is based on evaluation of the bias, local and global accuracy, and signal-to-noise ratio (SNR) performance. The results show that the intervening medium does not bias either wideband estimation, due to the effect of tracking the scattering target. The presence of intervening tissue actually improves the global accuracy of both wideband estimators, without a significant change in the local accuracy of either wideband estimator. After the transmission of P pulses, a comparison of the performance of the two strategies shows that the cross-correlation estimator requires P(2 ) correlations to achieve performance similar to that of the WMLE with P operations. In addition, the WMLE can increase the effective SNR in comparison with cross correlation.

Flow velocity profile via time-domain correlation: error analysis and computer simulation

An ultrasonic human-blood-flow velocity profile measurement method using time-domain correlation of consecutive echo pairs has been developed. The time shift between a pair of range gated echoes is estimated by searching for the shift that results in the maximum correlation. The time shift indicates the distance a group of scatterers has moved, from which flow velocity is estimated. The basis for the computer simulations and error analyses of the scheme includes a band-passed white Gaussian noise signal model for an echo from a scattering medium, the estimate of flow velocity from both a single scatterer and multiple scatterers, and a derived precision estimation. The error analysis via computer simulation includes an evaluation of errors associated with the correlation method. For a uniform flow velocity profile, beamwidth modulation represents the greatest error source. However, for a nonuniform flow velocity profile, the jitter caused by a small flow velocity gradient can exceed the other error sources. A detailed computer simulation evaluated the interdependencies of window length, beam width, vessel diameter, and viewing angle on the estimation of flow velocity.