Solve any five:
1 (a)
Check unit step signal for energy power signal and find its value.
4 M
1 (b)
Find DFT of x(n)={3,1,2,4} using DIF-FFT.
4 M
1 (c)
Compare between lossy and lossless compression.
4 M
1 (d)
Explain image fidelity criterion.
4 M
1 (e)
Find Z.T. of \( x(n)= {2, \underset {\uparrow}{1}, 0, 3, 4} \) . Find ROC of x(z).
4 M
1 (f)
Prove that 2D DFT matrix is an unitary matrix.
4 M
2 (a)
Find the circular convolution of the two sequence.
5 M
2 (b)
"Find The DFT of the given image: \[ \begin{bmatrix}
0 &1 &2 &1 \\1 &2 &3 &2 \\2 &3 &4 &3 \\1 &2 &3 &2
\end{bmatrix} \]"
5 M
2 (c)
Find the inverse z-transform of \[ x(z) = \dfrac {z^3 -4z^2 + 5z}{(z-1)(z-2)(z-3)} \]
10 M
3 (a)
What are the different types of the redundancies in image.
5 M
3 (b)
Explain segmentation based on disontinuities.
5 M
3 (c)
Define signals and system and also give the classification of discrete time signals with suitable example.
10 M
4 (a)
Determine the system function and unit sample response of the given system described by the following difference equation. (Assume zero initial conditions). \[ y(n) = \dfrac {1}{4} y(n-2) + \dfrac {1}{2} y(n-1)+x(n).
10 M
4 (b)
Check whether following sequence is periodic or not. If yes, find the fundamental time period.
x(n)=3 sin (0.01 πn) + 4 cos(10n).
x(n)=3 sin (0.01 πn) + 4 cos(10n).
5 M
4 (c)
Find auto-correlation of x(n)={1,2,3,2}.
5 M
5 (a)
Perform histogram equalization on the given image transform.
Gray level | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
No. of pixel | 70 | 100 | 40 | 80 | 60 | 40 | 08 | 02 |
10 M
5 (b)
Obtain the digital negative and thresholding of following 8 bit per pixel image. T=150.
121 | 205 | 217 | 156 | 151 |
139 | 127 | 157 | 117 | 125 |
252 | 117 | 236 | 138 | 142 |
227 | 182 | 178 | 197 | 242 |
201 | 106 | 119 | 251 | 240 |
5 M
5 (c)
Justify why Laplacian is not good edge detector.
5 M
6 (a)
Construct improved gray scale quantization code for the given level data set.
(100, 110, 124, 124, 130, 200, 210}.
(100, 110, 124, 124, 130, 200, 210}.
10 M
6 (b)
Explain image restoration and its application.
10 M
Write short notes on (any two):
7 (a)
K.L. Trasform.
10 M
7 (b)
Wavelet transform.
10 M
7 (c)
Trimmed average filter.
10 M
7 (d)
Edge linking and boundary detection via graph theoritic techniques.
10 M
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