Digital Signal and Image Processing (DSIP) Semester 7 (Revised Course) (3 Hours) May 2012

Digital Signal and Image Processing (DSIP) Semester 7 (Revised Course) (3 Hours) May 2012
GN-9086 [Total Marks : 100]
N.B:	(1)	Question No. 1 is compulsory.
	(2)	Attempt any four questions from remaining six questions.
	(3)	Assume suitable data wherever required and clearly specify it.
1.	Attempt any four questions:-		20
		(a)  Find the energy of the signal X(n) = (1/2)n u(n) + 8n u(n-1) (b)  Prove the two dimensional DFT matrix is an unitary matrix. (c)  What do you understand by negative of image? (d)  Show the Highpass = original - Lowpass (e)  Give the different classifications for system in Digital Signal Processing with        examples. (f)  Compare analog and digital filters.
2.	(a)	Find linear convolution of given two sequences :- X[n] = { 1, 2, 3, 4} h[n] = {1, -1}	04
	(b)	For sequence :- X1 (n) = cos (2π/N)n X2 (n) = sin (2π/N)n  Determine N point, circular convolution X1(n) (N) X2(n).	06
	(c)	A particular digital image with eight quantization levels has following histogram. Perform histogram equalization and give new equalized histogram.   Grey level 0 1 2 3 4 5 6 7 No. of pixels 200 270 130 60 60 80 140 160	10
3.	(a)	What is Morphology? Name and explain the basic operations in morphology.	10
	(b)	For the 3 bit 4 x4 size image perform following operations.	10
		(i)  Negative (ii)  Thresholding with T=4 (iii)  Intensity level slicing with background r1 =2 and r2 = 5 (iv)  Bit plane slicing for MSB and LSB plane. (v)  Clipping with r1 = 2 and r2 = 5   1 2 3 0 2 4 6 7 5 2 4 3 3 2 6 1
4.	(a)	Design a Butterworth filter using Bilinear Transformation method with following specification :-  Ap = 3db  As = 15db  Wp = 0.5π  Ws = 0.75π   Fs = 1Hz	10
	(b)	Explain the method of segmentation of images by region splitting and merging.	10
5.	(a)	Explain with example the following :- (i)  Thinning (ii)  Hit or Miss transformation.	10
	(b)	Find 8 point DFT using DIT FFT algorithms with butterfly diagram for X(n) = { 1, -1, -1, -1, 1, 1 -1}	10
6.	(a)	Differentiate between the following (any two) :- (i)  Convolution Vs Correlation (ii)  Bit plane slicing Vs Grey level slicing s  Low pass filter Vs Median filter.	10
	(b)	Write note on Discrete Cosine transform and it application find DCT of given image.   2 0 1 0 1 1 0 1 1 0 0 1 2 1 2 3	10
7.	Write short note (any four) :-		20
	(a)	Digital Water Marking
	(b)	Biometric Authentication
	(c)	Lossy image Compression
	(d)	Content based Image Retrival
	(e)	Text Compression
	(f)	Hadamard Transform
	(g)	Vector Quantization.

Also see Digital signal and image Processing question papers for December 2011