SRM University 2007 B.Tech Electronics and Communications Engineering BANK Digital Signal Processing - Question Paper

S.R.M. UNIVERSITY
Faculty of Engineering and Technology
School of Electrical and Electronics
Department Of Electronics & Communication Engineering
ques. BANK
Subject Code : EC303
Subject Name : Digital Signal Processing
Class : III Year B.Tech (ECE) – V Sem

UNIT - I
PART-A
1. Define transfer function.
2. How Z-transform is related to DFT?
3. When is a discrete time signal stated to be symmetric (or) anti-symmetric?
4. How is FFT computationally efficient?
5. Define a stable system and what is the condition for stability?
6. Find the convolution of the subsequent using Z-transform x (n) = {1, 2, 1} & h (n) = {1, 1, 1}.
7. Find the DFT of a sequence x (n) = {1, 1, 0, 0 }.
8. Calculate the number of multiplications needed in the computation of DFT and FFT with 64 point sequence.
9. What is meant by in – place in DIT and DIF algorithms?
10. How will you perform linear convolution using circular convolution?
11. What is causality condition for an LTI system?
12. What is zero-padding? elaborate its uses?
13. How many multiplications and additions are needed to calculate N-point DFT using radix –2 FFT?
14. Draw the basic butterfly diagram for the calculation in the DIT-FFT & DIF-FFT
15. Draw the direct form-I structure of the system,. y(n) = 0.5 x(n) + 0.9x(n-1).
16. Determine the stability of the system, whose transfer function is provided by H(z) = 1/ (1-4 z-1 + 3z-2).
17. List any 4 properties of DFT.
18. List any 4 properties of z – transform.
19. List out the properties of ROC in Z –transform.
20. Define a static and a stable system.
21. Write the expression for twiddle factor.
22. In which FFT algorithm, the output is bit reversed?
23. Check whether system y (n) = x (n) + two x (n-1) is linear.
24. For what value of n, can we write twiddle factor WnkN as WkN/6 ?
25. Test whether the system defined by y (n) = n x (n) is linear shift invariant.
26. Compute the DFT of the sequence whose values for 1 period is provided by x (n) = {1, 1, -2, -2}.
27. Compute the DFT of the causal three sample averages with impulse response
h(n) = 1/5 ; for –1 ? n ? 1
0 ; otherwise
28. Distinguish ranging from linear and circular convolution.
29. Calculate the DFT of the sequence x (n) = (1/4)n for N = 2.
30. What are the various classifications of discrete-time systems?
31. Compute the DFT of x (n) = ? (n)
32. What is meant by Region of convergence? What is its importance?
33. Find the z – transform of the causal sequence x (n) = {1, 0, 3, -1, 2}
34. Determine the z – transform and ROC of the signal x (n) = an u(n).
35. Determine the z – transform and ROC of the signal x (n) = - bn u(-n-1).
36. Find the circular convolution of 2 sequences {1, 2, 2, 1} and {1, 2, 3, 1}.
37. Draw the block diagram of the system defined by
y (n) = a y (n-1) + x(n) – two x (n-2).

Earning:   Approval pending.