Vinayaka Missions University 2009 B.E Information Technology FUNDAMENTALS OF DIGITAL SIGNAL PROCESSING BANK - Question Paper

14. Write the properties of Butterworth filter.
15. Distinguish ranging from recursive and non recursive realization.
16. What do you understand by backward difference?
17. Give the magnitude function of Butterworth filter.
18. Sketch the mapping of S-plan to Z-plan in bilinear transformation.
PART B

1. Convert the analog filter with transfer function H(s) into digital filter using bilinear
transformation.
i) H(s) = (6 marks)
ii) H(s) = (6 marks)

2. Convert the analog filter with system transfer function
(S+0.1)
i) H(s) = ------------- (6 marks)
(S+0.1)2+9

(S+0.4)
ii) H(s) = ------------- (6 marks)
(S+0.4)2+16

into a digital IIR filter by means of the impulse invariance technique.

3. Convert the analog filter with system transfer function H(s) = into digital
filter by means of the impulse invariance technique. If a) T= one sec and b) T= 0.1 sec.

4. find the Direct form–I realizations of the LTI system governed by the formula
y(n)= 0.5y(n-1)-0.25 y(n-2)+x(n)+3x(n-1) (12 marks)

5. Determine the direct form II realizations for the subsequent system
y(n)= - 0.1y(n-1)+0.72y(n-2)+0.7x(n)-0.252x(n-2) (12 marks)

6. Convert the analog filter with system transfer function H(s) =
into a digital filter by means of the impulse invariance technique.
If a) T= one sec and b) T= two sec. (12 marks)


UNIT IV
PART A

1. List the well known design technique for linear phase FIR filter design?
2. What are the kinds of digital filter according to their impulse response?
3. How phase distortion and delay distortion are introduced?
4. Write the steps involved in FIR filter design.
5. Compare hamming window with Kaiser window.
6. Draw the impulse response of an ideal low pass filter.
7. What are the advantages of FIR filter?
8. Draw the direct form realization of FIR system.
9. What is Gibb’s phenomenon?
10. Write the characteristic features of rectangular window.
11. State the condition for a digital filter to be causal and stable.
12. When a cascade form realization is preferred in FIR filters?
13. What are the properties of FIR filters?
14. For what type of applications, the anti symmetric impulse response can be used?
15. Draw the frequency response of N-point rectangular window.
16. What is the response that FIR filter is always stable?
17. List the features of hamming window spectrum.
18. What are the techniques of designing FIR filters?

PART B

1. With neat diagram discuss the structure of FIR filter (12 marks)

2. Design a low pass filter using rectangular window by taking nine samples of w (n) and with a
cutoff frequency of 1.2 radians/sec. (12 marks)

3. Determine the coefficients of a linear phase FIR filter of length M=15 has a symmetric
unit sample response and a frequency response that satisfies the condition.

H (2?k/15) = {1 ; for k=0, 1, 2, 3
0 ; for k=4, 5, 6, 7} (12 marks)


4. Draw the direct form structure of the FIR system defined by the transfer function
H (Z) =1+1/2z-1+3/4z-2+1/4z-3+1/2z-4+1/8z-5 (12 marks)

5. Realize the subsequent system with minimum number of multipliers
H (Z) =1/4+1/2z-1+3/4z-2+1/2z-3+1/4z-4 (12 marks)


6. i) discuss the advantages and disadvantages of FIR filters. (6 marks)
ii) Compare FIR and IIR filters. (6 marks)


UNIT V

PART A

1. describe multi rate DSP.
2. describe sub band coding.
3. What is a QMF filter?
4. describe decimator.
5. describe interpolator.
6. What is down sampling?
7. What is sampling rate conversion?
8. provide advantages of multi-rate DSP.
9. What is up sampling?
10. describe Periodiogram.
11. What is the need for anti-imaging filter?

PART B

1. Briefly discuss
(i)Interpolator (4 marks)
(ii)Decimator (4 marks)
(iii)Effects due to sampling rate conversion (4 marks)

2. discuss sub band coding with neat sketch. (12 marks)

3. discuss sampling rate conversion by the integer factor I. (12 marks)

4. discuss sampling rate conversion by the integer factor D. (12 marks)

5. discuss poly phase rectification. (12 marks)


6. Briefly discuss QMF filter with neat diagram. (12 marks)

Earning:   Approval pending.