Question Paper: Digital Signal Processing : Question Paper May 2013 - Computer Engineering (Semester 7) | Mumbai University (MU)
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Digital Signal Processing - May 2013

Computer Engineering (Semester 7)

TOTAL MARKS: 80
TOTAL TIME: 3 HOURS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Assume data if required.
(4) Figures to the right indicate full marks.
1 (a) Explain signals and systems with help of suitable examples. Give applications of signals and systems.(5 marks) 1 (b) Find Z transform of the following finite duration signal and state its ROC :- X(n)={1,2,5,7,0,1}(5 marks) 1 (c) Given X(n) = {0,1,2,3,}. Find x(k) using DIT-FFT Algorithm(5 marks) 1 (d) Find CONVOLUTION of following signals :-
X(n)={2,1,3,5} and h(n)={0,1,2,4}.
(5 marks)
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 marks)
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 marks) 3 (a) Given X(n) ={0,1,2,3,5,6,7} find X(k) using DIT-FFT algorithm.(10 marks) 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 marks)
4 (a) Explain in details Enhancement techniques in spatial domain used for images.(10 marks) 4 (b) What is HADAMARD Transform? Write a 4x4 Hadamard matrix and its applications.(10 marks) 5 (a) What is segmentation? Explain the different methods of image segmentation.(10 marks) 5 (b) Explain image Restoration and its applications.(10 marks)

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 marks) 6 (b) Name and explain different types of Data Redundancies associated with Digital Image.(10 marks)

Write short notes on (any two) :-

7 (a) Wavelet Transform(10 marks) 7 (b) Properties of Fourier Transform(10 marks) 7 (c) KL Transform(10 marks) 7 (d) Discrete Cosine Transform.(10 marks)