Doppler correlations

The single matched filter can be used only when the target s position and velocity are known. To detect a target at an unknown position, it is necessary to utilize a bank of filters matched to all possible target ranges and velocities. This approach leads directly to the range-Doppler correlation function, described by the formula... 

The above equation is very similar to the cross-ambiguity function, but here the time-delay is introduced only in the transmitted signal. This form of the transform is more convenient for digital implementation and will be referred to below as a range-Doppler correlation function. 

Figure 5. Range-Doppler correlation function, boxcar window, integration time ti=0.05 s.

Christou, 1., Alexandrov, A.V., Burgin, W.S., Wojner, A.W., Felberg, R.A., Malkoff, M., and Grotta, J.C. (2000) Timing of recanalization after tissue plasminogen activator therapy determined by transcranial doppler correlates with clinical recovery from ischemic stroke. Stroke, 31 1812-1816. 

The scattering techniques, dynamic light scattering or photon correlation spectroscopy involve measurement of the fluctuations in light intensity due to density fluctuations in the sample, in this case from the capillary wave motion. The light scattered from thermal capillary waves contains two observables. The Doppler-shifted peak propagates at a rate such that its frequency follows Eq. IV-28 and... 

In addition to CO(v = 0—2,7) populations, Houston and Kable recorded CO Doppler profiles to measure the translational energy release, and the vector correlation between the recoil velocity vector and the angular momentum vector of CO. Together, these data paint a compelling picture that two pathways to CH4 + CO are operative. The rotationally hot CO population (85% of total CO)... 

CTA and MRA are described in more detail in Chapter 2 therefore, this section will focus on CDUS. CDUS is widely available, well-validated, and is free of the risks and complications of radiographic contrast administration. Using ROC analysis, velocity criteria for detecting a residual lumen diameter of <1.5 mm have been developed based on pathological correlation with CEA plaques.In addition, transcranial Doppler can play an adjunctive role in dehning the hemodynamic signihcance of a lesion. ... 

Steinke W, Kloetzsch C, Hennerici M. Carotid artery disease assessed by color Doppler flow imaging correlation with standard Doppler sonography and angiography. AJR Am J... 

To study the effect of PGDN on cerebral blood flow, Godin et al. (1995) injected male Sprague-Dawley rats (through a jugular vein cannula) with PGDN at 0.1 to 30 mg/ kg and measured cerebral blood flow with a fiberoptic laser-Doppler flow probe in contact with the brain. Following a small initial drop in cerebral perfusion that lasted 1 min, blood flow rapidly increased and reached a maximum 2 min after injection. The increase in perfusion was correlated with dose, but due to the small number of animals and individual variability, a clear dose-response relationship was not obtained. 

In addition to coronary sclerosis, evidence is accumulating that high Lp(a) levels may be important in the development of cerebrovascular and peripheral arterial disease, as well (J6, T8, U2). Lp(a) levels not only correlated well with clinical endpoints such as transient ischemic attack and cerebral infarction, but also were associated with the extent and severity of carotid atherosclerosis, as assessed by bidirectional Doppler ultrasound (K23, M33, Z2). 

Methods for analysis of the particle size distribution in the aerosol cloud include techniques such as time of flight measurement (TOE), inertial impaction and laser diffraction. Dynamic light scattering (photon correlation spectroscopy) is confined to particles (in suspension) in the submicron range. In addition to the size distribution, the particle velocity distribution can be measured with the Phase Doppler technique. 

Donnelly EF, Geng L, Wojcicki WE, et al. Quantified power Doppler US of tumor blood flow correlates with microscopic quantification of tumor blood vessels. Radiology 2001 219 166-170. 

Campbell and Hanratty (1982) used Lau s (1980) measurements with some special optics on a laser Doppler velocimetry system to calculate /3(f) near a fixed interface, in this case, the inside of a clear pipe. They determined w(z,t) from equation (8.52), and solved equations (8.49) and (8.50) numerically for / l(0- Finally, they applied equation (8.51) to determine Kl, which has been the goal all along. The end results (Kl) may then be related to the other, independent parameters that are important to the transfer process, such as diffusivity, viscosity, and turbulence parameters. Campbell and Hanratty performed this operation and found the following correlation ... 

The effects of raloxifene on the vascular endothelium have been studied in 19 subjects who underwent endothelial function testing at baseline and after treatment with placebo or raloxifene (60 mg/day for 6 weeks) (27). The findings in this small short-term study were entirely positive. Brachial artery diameter change (flow-mediated dilatation) increased 5.0% with placebo and 8.6% with raloxifene in response to a hyperemic stimulus. The ratio of AUC response to AUC reference with the use of laser Doppler measures was 1.18 for placebo and 1.28 for raloxifene. Flow-mediated dilatation and AUC ratio correlated significantly. The authors concluded that raloxifene enhanced endothelial-mediated dilatation in brachial arteries and digital vessels in these women, and they discussed the drug s possible cardioprotective effect. 

Color-flow Doppler sonography can be of use in distinguishing the two types, because type 1 is associated with increased vascularity and type 2 is not. In a retrospective study of 24 patients with amiodarone-induced hyperthyroidism in an iodine-replete environment, 13 had little or no vascularity, of whom seven were prednisolone-responsive of 11 patients with increased vascularity, four responded to antithyroid drugs alone and only one of seven responded to prednisolone (37). Euthyroidism was achieved twice as rapidly in patients with low vascularity than in those with increased vascularity. Thus, responsiveness to prednisolone was not consistently predicted by lack of vascularity, but the presence of flow appeared to correlate with non-responsiveness to prednisolone. 

Earlier studies (ref. 440-442) with ordinary air microbubbles (without any synthetic surfactant coating) have already shown that echocardiographic contrast produced by microbubbles is useful in the qualitative analysis of blood flow and valvular regurgitation. In addition, quantitative studies (ref. 440) have shown a correlation between individual contrast trajectories on M-mode echocardiography and invasive velocity measurements in human beings. Meltzer et al. (ref. 441) have shown that velocities derived from the slopes of contrast trajectories seen on M-mode echocardiography correlate with simultaneous velocities obtained by Doppler techniques. (This correlation is expected because both measures represent the same projection of the microbubble velocity vector, that is, in the direction of the sound beam.) More detailed studies (ref. 442) confirmed that microbubble velocity obtained from either Doppler echocardiography or M-mode contrast trajectory slope analysis correlates well with actual (Doppler-measured) red blood cell velocity. Thus, these early studies have shown that microbubbles travel with intracardiac velocities similar to those of red blood cells. 

R.S. Meltzer, B. Diebold, N.K. Valk, D. Blanchard, J.L. Guermonprez, C.T. Lancee, P. Peronneau and J. Roelandt, Correlation between velocity measurements from Doppler echocardiography and from M-mode contrast echocardiography, Br. Heart J. 49 (1983) 244-249. 

In this section we introduce three techniques frequently encountered in positron physics, namely those used to measure annihilation lifetimes and the Doppler broadening (or Doppler shift) and angular correlation of the annihilation radiation. These techniques, or variants thereof, are encountered throughout the rest of this work, and here we briefly describe... 

The experimental techniques involved in measuring the angular correlation and the Doppler broadening of the two annihilation gamma-rays were introduced in section 1.3. These techniques rely on the fact that the motion of the positron-electron pair immediately prior to annihilation causes the two gamma-rays to be emitted in directions differing... 

The ability of angular correlation and Doppler broadening techniques to provide information concerning the momentum of an annihilating electron-positron pair was briefly discussed in section 1.3. Also, it... 

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