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

20. Find the DFT of the sequence x(n)={1, 0, 1, 0, 1, 0, 1,0} using DIT-FFT algorithm.
21. Find the IDFT of the sequence X(K)= { 4, 1-j2.414, 0, 1-j0.414, 0,
1+j0.414, 0, 1+j2.414} using DIF-FFT algorithm.
22. Obtain direct form I and II of the LTI system governed by the formula
y(n)= -(3/8) y(n-1)+(3/32) y(n-2)+(1/64)y(n-3)+x(n)+3x(n-1)+2x(n-2).
23. Determine the direct form –I and II structure for the provided system
y(n) = ½ y(n-1)- ¼ y(n-2)+x(n)+x(n-1).
24. find the parallel realization of the system defined by difference formula y(n) – (13/12)y(n-1)+(9/24)y(n-2) – (1/24)y(n-3) = x(n) + 2x(n-1).
25. Realize the system with difference formula
y(n) = (3/4) y(n-1)- (1/8) y(n-2)+x(n)+(1/3) x(n-1) in cascade form.
26. Obtain the cascade form realization for the subsequent system
y(n)= -0.1 y(n-1)+0.2 y(n-2)+3x(n)+3.6x(n-1)+0.6x(n-2).
27. Obtain the cascade realization for the subsequent system.
( 1+ 3/2 Z-1 +1/2 Z-2 ) (1-3/2 Z-1 +Z-2 )
H(Z) = -----------------------------------------------
( 1+ Z-1 +1/4 Z-2 ) (1+1/4 Z-1 +1/2 Z-2 )


(Z2-4Z+5)
38. obtain the inverse Z- transform of X(Z)= ------------------ ; for ROC
(Z -3)(Z-1)(Z-2)
i) two < ? Z? < three (ii) ? Z?> three (iii ) ? Z? < one using partial fraction method.

UNIT- II
Part - A

1. What are the advantages of FIR filters?
2. What are the advantages of IIR filters?
3. What is Gibbs Phenomenon?
4. Compare IIR & FIR filters.
5. Compare Digital & analog filters.
6. What are the requirements for an analog filter to be stable & causal?
7. What are the requirements for a digital filter to be stable & causal?
8. What are the advantages & disadvantages of digital filters?
9. When is an impulse variant transformation not considered to be one-to-one?
10. What is the importance of poles in filter design?
11. What is aliasing?
12. What is frequency warping?
13. What is pre-warping?
14. Write the properties of Butterworth filter.
15. What is Quantization step size?
16. List a few finite word length effects in digital filters.
17. What are the various formats of fixed point representation?

Earning:   Approval pending.