What gradient waveform could you use as an acceleration compensation pulse?

Suppose a point object is moving along the x-axis with the following trajectory: x(t) = xo + vt.

(a) Calculate the phase shift that is induced in the transverse magnetization after the application of the gradient waveform shown in Figure P13.2.

Figure P13.2 See Problem 13.8(a).

(b) Calculate the phase shift induced by the waveform shown in Figure P13.3. This is called a flow compensation pulse.

Figure P13.3 See Problem 13.8(b)

(c) Repeat the calculations for the above two waveforms for the trajectory given by x(t) = xo + vt + .

(d) What gradient waveform could you use as an acceleration compensation pulse?

(e) Is it possible to design a gradient waveform that will produce phase shifts that are independent of acceleration but are dependent on the velocity? Explain.

find the cost of your paper

Explain why attenuation is not a big problem in PET.

Consider a 2-D object consisting of two triangle compartments, as shown in Figure P9.4. Suppose a solution containing a 511 KeV gamma ray emitting radionuclide with concentration f = 0.5….

Give the mean and the variance of the reconstructed image, mean[ˆ f(x, y)] and var[ˆ f(x, y)].

Ignoring the inverse square law and attenuation, an approximate reconstruction for SPECT imaging is given by where c˜() =  {||W()} and W() is a rectangular windowing filter that cuts off at = 0…..

Find the numerical responses in each to an event in crystal C(4, 6).

Suppose a PET detector comprises four square PMTs (arranged as a 2 by 2 matrix) and a single BGO crystal with slits made in such a way that it is….