MU Computer Engineering (Semester 7)
Digital Signal Processing
May 2013
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) Explain signals and systems with help of suitable examples. Give applications of signals and systems.
5 M
1 (b) Find Z transform of the following finite duration signal and state its ROC :- X(n)={1,2,5,7,0,1}
5 M
1 (c) Given X(n) = {0,1,2,3,}. Find x(k) using DIT-FFT Algorithm
5 M
1 (d) Find CONVOLUTION of following signals :-
X(n)={2,1,3,5} and h(n)={0,1,2,4}.
5 M

2 (a) Determine the system function and unit sample response of the system given by Difference equation :
Y(n)=1/2 Y(n-1) + 2 X(n)
10 M
2 (b) Perform Histogram Equalization for the following. Obtain a plot of original as well as Equalized Histogram.
Grey level 0 1 2 3 4 5 6 7
No. of Pixels 100 90 50 20 0 0 0 0
10 M

3 (a) Given X(n) ={0,1,2,3,5,6,7} find X(k) using DIT-FFT algorithm.
10 M
3 (b)

Compute 2D DFT of given Image using DIT-FFT algorithm
\(f(x,y)=\begin{bmatrix} 1 &2 &3 &2 \\4 &3 &2 &1 \\4 &3 &2 &4 \\3 &2 &1 &4 \end{bmatrix}\)

10 M

4 (a) Explain in details Enhancement techniques in spatial domain used for images.
10 M
4 (b) What is HADAMARD Transform? Write a 4x4 Hadamard matrix and its applications.
10 M

5 (a) What is segmentation? Explain the different methods of image segmentation.
10 M
5 (b) Explain image Restoration and its applications.
10 M

6 (a) What do you understand by sampling and quantization with respect to Digital Image Processing? How will you convert an Analog image into a Digital Image?
10 M
6 (b) Name and explain different types of Data Redundancies associated with Digital Image.
10 M

Write short notes on (any two) :-
7 (a) Wavelet Transform
10 M
7 (b) Properties of Fourier Transform
10 M
7 (c) KL Transform
10 M
7 (d) Discrete Cosine Transform.
10 M



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