## Monday, October 29, 2012

### EC2314 DIGITAL SIGNAL PROCESSING ANNA UNIVERSITY QUESTION PAPER NOVEMBER/DECEMBER 2010

B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2010
Fifth Semester
Electrical and Electronics Engineering
EC 2314 — DIGITAL SIGNAL PROCESSING
(Regulation 2008)
Time : Three hours Maximum : 100 Marks
PART A — (10 × 2 = 20 Marks)
1. What are even and odd signals?
2. Define aliasing effect.
3. Mention the relation between, Z transform and Fourier transform.
4. Give any two properties of linear convolution.
5. Calculate DFT of x(n) = {1, 1, − 2, − 2}.
6. Differentiate between DIF and DIT.
7. What are the advantages of FIR filter?
8. Mention the significance of Chebyshev’s approximation.
9. Define warping.
10. What is BSAR instruction? Give an example.
PART B — (5 × 16 = 80 Marks)
11. (a) (i) What do you mean by Nyquist rate? Give its significance. (6)
(ii) Explain the classification of discrete signal. (10)
Or
(b) (i) Explain in detail the Quantization of digital signals. (8)
(ii) Describe the different types of sampling methods used. (8)
12. (a) (i) Explain the properties of Z-transform. (8)
(ii) Find the impulse response given by difference equation.
y(n)− 3y(n −1)− 4y(n − 2) = x(n) + 2x(n −1) (8)
Or
(b) (i) Test the stability of given systems. (8)
(1) y(n) = cos(x (n))
(2) y(n) = x(− n − 2)
(3) y(n) = n x(n)
(ii) Find the convolution. (8)
x(n) = { −1, 1, 2, − 2}  h(n) = { 0.5, 1, −1, 2, 0.75 }
13. (a) An 8-point sequence is given by x(n)= {2, 2, 2, 2, 1,1,1,1,}. Compute
8-point DFT of x(n) by radix DIT--FFT method also sketch the
magnitude and phase. (16)
Or
(b) Determine the response of LTI system when the input sequence is
x(n) = {−1,1,2,1,−1} using radix 2 DIF FFT. The impulse response is
h(n) = {−1,1,−1,1}. (16)14. (a) Design a low pass filter using rectangular window by taking I samples of
Ï‰(n) with cut off sequence of 1.2 radians/sec also draw the filter. (16)
Or
(b) The specification of defined low pass filter is :         ( )HH
Design Chebyshev’s digital filter using bilinear transformation. (16)
15. (a) (i) With a neat diagram explain Von-Neumann architecture. (8)
(ii) What is MAC unit? Explain its functions. (8)
Or
(b) Explain the architecture of TMS320C50 with a neat diagram. (16)