MU Computer Engineering (Semester 7)
Digital Signal Processing
May 2014
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


1 (a) Laplacian is not good edge detector. Justify.
5 M
1 (b) Discuss the properties of Region of Convergence.
5 M
1 (c) Convolution in one domain leads to multiplication in other domain.
5 M
1 (d) Walsh transform is nothing but sequence Orderd Hadamard Transform Matrix Justify.
5 M

2 (a) Construct following gray scale quantization code for given level data set.
{100, 110, 124, 130, 200, 210}
10 M
2 (b) Find the following sequence are periodic or no. If yes, find the fundamental time period-
(i) x1(n)=3sin(0.01 ?n)+4cos(10 n)
(ii) x2=cos(0.01 ?n)
10 M

3 (a) Determine the system function and unit sample response of the given system described by following difference equations :
\[y(n)= \frac{1}{4} y(n-2)+\frac{1}{2}y(n-1)+x(n)\]
10 M
3 (b) Find cross-correlation between given signals.
x(n)={1,0,1,2}
y(n)={1,2,3,4}
5 M
3 (c) Find auto-correlation of following signal
x(n)={1,1,2,3}
5 M

4 (a) Compute DFT of the given image using DIF-FFT technique
0 1 2 1
1 2 3 2
2 3 4 3
1 2 3 2
10 M
4 (b) Explain the process of image segmentaion using different methods.
10 M

5 (a) Specify DCT basis functions and construct transform matrix for an image.
10 M
5 (b) Obtain the digital negative of the following 8 bits per pixel image.
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
10 M

6 (a) Perform Histogram Equalization on the given image transform
Gray Level 0 1 2 3 4 5 6 7
Number of Pixel 70 100 40 80 60 40 08 02
10 M
6 (b) Write 8 x 8 Walsh transform matrix and draw its signal flow graph
10 M

Write short noes on (any four) :-
7 (a) Hough transform
5 M
7 (b) Wavelet Transform
5 M
7 (c) Classify and define discrete time systems
5 M
7 (d) Homomorphic filtering.
5 M
7 (e) State and prove convolution property of Z-transform.
5 M



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