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Question 1

2π $2\pi$

1π $\frac{1}{\pi}$

πu $\pi u$

1πu $\frac{1}{\pi u}$

Question 2

sinc(u−u0) $sinc(u-u_{0})$

sin(u+u0)+sin(u−u0)2 $\frac{sin(u+u_{0})+sin(u-u_{0})}{2}$

δ(u+u0) $\delta(u+u_{0})$

δ(u−u0) $\delta(u-u_{0})$

Question 3

Choose the correct 2D Fourier transform of the image A.

%ED%80%B4%EC%A6%88%EB%AC%B8%EC%A0%9C%EA%

Question 4

Choose the correct 2D Fourier transform of the image A.

Question 5

Translation,

(ua)p+(vb)q $(ua)p+(vb)q$

Translation,

uap+vbq $\frac{u}{a}p+\frac{v}{b}q$

Scaling,

(ua)p+(vb)q $(ua)p+(vb)q$

Scaling,

uap+vbq $\frac{u}{a}p+\frac{v}{b}q$

Question 6

Question 7

Question 8

Partial volume effect

Resolution

Sampling frequency

Image contrast

Question 9

Question 10

You acquired an MRI image and found an aliasing artifact. Choose the one that avoids the aliasing artifact.

Acquiring the MRI k-space data at a higher sampling rate

Adding higher frequency components to the MRI k-space data

Making the MRI k-space signals stronger

Removing some k-space lines with higher frequency components

Question 11

The peripheral part of k-space decides the contrast of image, while the central part contains the edge information.

False

True

Question 12

Select a statement about Fourier transform that is not true.

If F(u,v) and F*(-u,-v) are Fourier transforms of f(x,y) and f*(x,y), then F(u,v) equals to F*(-u,-v) for a complex valued f(x,y)

If a signal can be represented by product of two functions seperable by two independent variables, its Fourier transform can also be represented by product of two functions separable by the two independent variables.

Reversing the polarity of the time for a time-domain signal reverses the polarity of the frequency of its Fourier transform.

Fourier transform is a linear operator.

Question 13

Question 14

Sampling is a kind of a digitization of continuous signals into discrete signals which can be used with computers.

True

False

Question 15

Which is the lowest possible sampling frequency for a signal with maximum bandwidth W to be represented accurately?

0.5W

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