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

Digital Signal and Image Processing (DSIP) Semester 7 (Revised Course) (3 Hours) December 2012
KR-2070 [Total Marks : 100]
N.B:	(1)	Question No. 1 is compulsory.
	(2)	Solve any four questions out of remaining.
	(3)	Assume suitable data if necessary,
1.	(a)	Classify the following DT system on linearity, time in variance causality      (i) y(n) = nx(n)      (ii) y(n) = ex (n)       (iii) y(n) = x (2n)			20
	(b)	Consider the image given below. Calculate the direction of the edge at the centre point of the image.   f = 50 60 70 5 50 80 7 9 50
	(c)	Show that the first difference of a chain code normalizes it tc rotation.
	(d)	Prove that two dimensional DFT matrix is an unitary matrix.
2.	(a)	Find linear convolution of two sequences        x(n) = {1, 2, 3} and h(n) = {1/1/2}                     ↑                             ↑			04
	(b)	Find the energy of signal x(n)   x(n)= { [1/2]2 for n >  0 (2)n for n < 0			06
	(c)	A particular digital image with 8 quantization level has following histogram. Perform histogram equalization.   Grey level 0 1 2 3 4 5 6 7 No. of Pixels 790 1023 850 656 329 245 122 81			10
3.	(a)	What is morphology? Name and explain the basic operations in morphology?			10
	(b)	For the 3-bit 4x4 size image perform the 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)	Let X(n) = {1, 2, 3, 4, 0, 0, 0, 0}                     ↑ Find 8-point DFT of x(n)			10
	(b)	Given f(x,y)= [ 5 6 7 ] 8 9 10	and h (x,y)= [ 1 2 ] 3 3		10
		Find linear convolution of input image f(x,y) with filter h(x,y)
5.	(a)	Let x(n) = 2δ(n) +  3δ(n-2) + 4δ(n-2) +  5δ(n-3) Find four DFT X(k). Using Fast Fourier Transform Flowgraph.			04
	(b)	Explain one level decomposition and reconstruction of digital image using Disccrete Wavelength Transform.			06
	(c)	Find the arithmetic code word of the message : INDIA Calculate the percentage of compression and Bits per pixel (BPP) of the compressed message.			10
6.	(a)	Given an input image f of size 3 x 3. Find the filtered image using median filter mask as given below:			10
		M= 0 1 0 1 1 0 0 1 0	R= R1 R2 R3 R4 R5 R6 R7 R8 R9	F= 3 2 1 5 2 6 7 9 1
	(b)	Write note on Discrete Cosine Transform (DCT) and its applications. Find DCT of given image 4 x 4   2 0 1 0 1 1 0 1 1 0 0 1 2 1 2 3			10
7.	Write short note on any (any four) of the following:-				20
	(a)	Digital Watermarking			`
	(b)	Cossy Image Compression
	(c)	hadamard Transform
	(d)	Content Based Image Retrieval
	(e)	Region Based Segmentation

Also see Digital signal and image Processing question papers for May 2012