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

18. discuss the floating point representation of binary numbers.
19. What is truncation?
20. What is rounding?
21. What is meant by product quantization error?
22. What is zero input limit cycle?
23. What is overflow limit cycle?
24. What are limit cycles?
25. Compare fixed point & floating point representations.

Part- B
1. Design a FIR low pass filter with cut-off frequency one KHz & sampling rate of four KHz with 11 samples using Fourier series method.

2. Design a FIR low pass filter using rectangular window by taking samples of w(n) & with cut-off frequency of 1.2 rad./secs with N=9

3. Design a HPF using Hamming window with a cut off frequency of 1.2 radians/sec with N=7.

4. Determine the coefficients of a linear phase FIR filter of length N=15 which has a symmetric unit sample response & a frequency response that satisfies the condition
1 ; k=0,1,2,3
H{ 2? k/15} = 0.4 ; k=4
0.0 ; k=5,6,7

5. For the analog transfer function H(s) = 2/[(S+1) (S+2)], determine H(z) if a) T=1 sec b) T=0.1 sec. Using Impulse Invariant transformation

6. (a) Apply the bilinear transformation to H (s) = two / [(s+1) (s+2)] with T=1 sec. obtain H(z).
(b) Apply the bilinear transformation to H (s) = 2s / [s2 +0.2s+1) with T=1 sec. obtain H(z).

7. Obtain H(Z) for H(s) when T= 1sec. and H (s) = S3 / {(s+1)(s2 +s+1)} using Impulse Invariant transformation

8. Convert the subsequent analog filter with function H (s) into digital; filter using bilinear transformation with T=1 sec
(i) H(s) = S+0.3 / [(S+0.3)2 +16]
(ii) H (s) = two / [(s+1) (s+2)]

9. The specification of the desired LPF is
0.8 = | H(w)| = 1.0 ; 0.00 = w = 0.2?
| H(w)| = 0.2 ; 0.32? = w = ?
Design a Butterworth digital filter using impulse invariant transformation

10. The specification of the desired LPF is
0.8 = | H(w)| = 1.0 ; 0.00 = w = 0.2?
| H(w)| = 0.2 ; 0.32? = w = ?
Design a Chebyshev digital filter using bilinear transformation

11. The specification of the desired LPF is
0.5= | H(w)| = 1.0 ; 0.0 = w = 0.2?
| H(w)| = 0.08 ; 0.4? = w = ?
Design a Butterworth digital filter using bilinear transformation.

12. The specification of the desired LP digital filter is
0.9 = | H(w)| = 1.0 ; 0.0 = w = 0.25?

Earning:   Approval pending.