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


Justify/Contradict the following statement (any four) :-

1 (a) (i) Unit step sequence is a powersignal(5 marks) 1 (a) (ii) If the energy of the signal is finite its power is zero(5 marks) 1 (a) (iii) Brightness discrimination is poor at low levels of illumination(5 marks) 1 (a) (iv) Enhacement process does not add any information to the image.(5 marks) 1 (a) (v) All image compression techniques are invertible.(5 marks) 2 (a) Write an expression for 2-D DFT. What is its relationship with one dimention DFT? How one-dimensional FFT algorithm can be used to compute two dimensional DFT of an digital image.(10 marks) 2 (b) Define signals and systems and also give any 4 classification of Discrete Time Signals with examples.(10 marks)


Compare and constrast between the following (any two -)

3 (a) (i) Spatial Domain Processing and Transform Domain Processing.(5 marks) 3 (a) (ii) Image Enhancement and Image Restoration.(5 marks) 3 (a) (iii) Lossless and Lossy Compression(5 marks) 3 (b) Find the DFT of the given image.

$\begin{bmatrix} 0 &1 &2 &1 \\\\1 &2 &3 &2 \\\\2 &3 &4 &3 \\\\1 &2 &3 &2 \end{bmatrix}$ (5 marks) 3 (c) Find the circular convolution of two sequence -
x1(n)={1,-1,2,-4} and x2(n)={1,2}
(5 marks)
4 (a) Find the universe Z-transform of -
$$x\left(z\right)=\frac{z^3-4z^2+5z}{\left(z-1\right)\left(z-2\right)\left(z-3\right)}$$
(i) ROC=|z|>3
(ii) ROC=|z|<1
ROC=2<|z|<3
(10 marks)
4 (b) What are the different types of redundancies in images.(5 marks) 4 (c) Explain Fidelity Criteria(5 marks) 5 (a) Explain filtering in spatial Domain.(10 marks) 5 (b) Explain segmentation based on discontinuities.(5 marks) 5 (c) Explain Hough-Transform and its application in detection of shapes.(5 marks) 6 (a) Explain the salient feature of the following codes :-
(i) Huffman code
(ii) Lossy predictive coding
(iii) Tranform coding.
(10 marks)
6 (b) Explain with suitable example region splitting and merging techniques for segmentation.(10 marks) 7 (a) Sampling and Quantization.(5 marks) 7 (b) Edge linking and Boundry detection via graph theoretic technique.(5 marks) 7 (c) Image Restoration Model.(5 marks) 7 (d) Trimmed Average filter.(5 marks) 7 (e) Homomorphic filtering.(5 marks)

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