Digital Signal and Image Processing (DSIP) Semester 7 (3 Hours) May 2013

Digital Signal and Image Processing (DSIP) Semester 7 (3 Hours) May 2013
GS-5302 [Total Marks : 100]
N.B:	(1)	Question no 1 is compulsory.
	(2)	Attempt any four question out of remaining six questions.
	(3)	Assume suitable data wherever necessary.
1.	(a)	Explain Single and systems with the help of suitable examples. Give applications of signals and systems.	05
	(b)	Find Z transform of the following finite duration signal and state its ROC :-      X(n) = {1, 2, 5, 7, 0, 1}	05
	(c)	Given X(n) = {0, 1, 2, 3}. Find X(k) using DIT - FFT Algorithm.	05
	(d)	Find CONVOLUTION of following signals :-      X(n) = {2, 1, 3, 5} and h(n) = {0, 1, 2, 4}.	05
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
	(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
3.	(a)	Given X(n) = {0, 1, 2, 3, 4, 5, 6, 7}. Find X(k) usin DIT-FFT algorithm.	10
	(b)	Compute 2D DFT of given Image using DIT-FFT algorithm.   f(x,y) = [ 1 2 3 2 4 3 2 1 4 3 2 4 3 2 1 4 ]	10
4.	(a)	Explain in details Enhancement techniques in spatial domain used for images.	10
	(b)	What is HADAMARD Transform? Write a 4 x 4 Hadamard matrix and its applications.	10
5.	(a)	What is segmentation? Explain the different methods of image segmentation.	10
	(b)	Explain image Restoration and its applications.	10
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
	(b)	Name and explain different types of Data Redundancies associated with Digital image.	10
7.	write short notes on (any two) :-		20
	(a)	Wavelet Transform
	(b)	properties of Fourier Transform
	(c)	KL Transform
	(d)	Discrete Cosine Transform.