B.E-B.E Electronics and Tele-Communication Engineering Digital Signal Processing /Principles of Digital Signal Processing(Sathyabama University, Chennai, Tamil Nadu-2010)
Friday, 23 August 2013 03:40Duraimani
(Established under section 3 of UGC Act,1956)
Course & Branch :B.E – ETCE Max. Marks :80
Title of the Paper : Digital Signal Processing /Principles of Digital Signal Processing
Sub. Code :525405/625402 Time : 3 Hours
Date :30/04/2010 Session :FN
PART - A (10 x 2 = 20)
Answer ALL the Questions
1. Define energy and power signals.
2. Draw the waveform of d(t-3) and u(t+4).
3. Determine the complex Fourier series representation of x(t) = sin(w0t).
4. Find the Z transform and mention the ROC of the signal x[n]={u[n+4] – 2 u[n-3]}.
5. Define DFT pairs.
6. Give the different realization structures available to realize FIR filter.
7. What is pre warping?
8. Give the relation between analog and digital frequencies in impulse invariant technique.
9. If H(K) is the N point DFT of the sequence h(n), prove that H(K) and H(N-K) are complex conjugates.
10. Distinguish between DIT and DIF algorithm.
PART – B (5 x 12 = 60)
Answer All the Questions
11. (a) Determine which of the following signals are periodic. If periodic determine the fundamental period.
(b) Determine the power and RMS value of the following signals.
(or)
12. Verify linear, time variant, causal, memory less properties to the following systems.
y(n) = x[-n]
y(t) = x2(t)
13. (a) State and prove any four properties of Fourier Transform (8)
(b) find the Fourier transform of x(t) = e-a|t| (4)
(or)
14. (a) Using partial fraction expansion method, find the inverse Z transform of
(b) State and prove any three properties of Z transform
15. The desired frequency response of a LPF is
Determine H(w) for a 9 tap filter using Hamming window.
(or)
16. Determine the coefficients of a Linear phase FIR filter of length 15 which has a symmetric unit sample response and the frequency response that satisfies the condition.
17. (a) Show that a stable analog filter is mapped to a stable digital filter using bilinear transformation.
(b) An analog filter has a transfer function . Design a digital filter equivalent to this using impulse invariant method for T = 0.2 sec.
(or)
18. Using bilinear transformation techniques design a LPF that satisfy the following specifications with T =0.1 sec.
19. Obtain an 8 point DIT FFT flow graph from the first principle.
(or)
20. Obtain the DFT of the sequence using DIF FFT algorithm.
x(n) = cos (np/4) 0£n£7
| Earning: ₹ 3.25/- |
