SRM University 2007 B.Tech Electronics and Communications Engineering BANK : EC303 – DIGITAL SIGNAL PROCESSING - Question Paper

32. What are the advantages & disadvantages of digital filters?
33. When is an impulse variant transformation not considered to be one- to-one?
34. What is the importance of poles in filter design?
35. What is aliasing?
36. What is frequency warping?
37. What is pre-warping?
38. Write the properties of Butterworth filter.
39. What is Quantization step size?
40. List a few finite word length effects in digital filters.
41. What are the various formats of fixed point representation?
42. discuss the floating point representation of binary numbers.
43. What is truncation?
44. What is rounding?
45. What is meant by product quantization error?
46. What is zero input limit cycle?
47. What is overflow limit cycle?
48. What are limit cycles?
49. 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.

3) Design a HPF using Hamming window with a cut off frequency of 1.2 radians/sec & N=9.

4) Design a band stop filter to reject frequencies in the range of two radians/sec using rectangular window with N=7.

5) Design a band pass filter to reject frequencies in the range of two radians/sec using rectangular window with N=5.

6) 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
H{ 2? k/15} = 1 ; k=0,1,2,3
0.4 ;k=4;
0 ;k=5,6,7

7) Design a linear phase LP FIR filter with a cut-off frequency of ?/2 rad./sec. Take N=17.

8) For the analog transfer func. H(s) = 2/ (S+1) (S+2).Determine H(z) if

a) T=1 sec b) T=0.1 sec.

9) Convert the analog filter transfer function to digital transfer func. H(z)
H (s) = (s+0.1) / (s +0.1)2 +9

10) 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).

11) Obtain H(Z) for H(s) when T= 1sec. and H (s) = S3 / {(s+1)(s2 +s+1)}
12) Convert the analog filter with function H (s) into digital; filter using bilinear transformation Ha(s) = S+0.3 / (S+0.3)2 +16

Earning:   Approval pending.