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Posted By: ADITYA Member Level: Gold Posted Date: 24 May 2008
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2006 Anna University B.E Computer Science DIGITAL SIGNAL PROCESSING Question paper
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ANNA UNIVERSITY :: CHENNAI – 600 025
MODEL QUESTION PAPER
B.E. Computer Science and Engineering
V SEMESTER
CS 331 - DIGITAL SIGNAL PROCESSING
Part-A (10 x 2 = 20 Marks)
1. Represent the following discrete time signal in Z domain.
X(n) = {.6n – 0 < n < 5
0 – otherwise
2. Draw the 8 point Radix DIT signal flow graph.
3. Write down the procedure for designing IIR filter.
4. Write the relationship between ‘S’ domain and ‘Z’ domain .
5. What is Gibb’s Phenomenon?
6. Write the expression for Kaiser window function.
7. Demonstrate the two types of cascade realization in implementation of filters.
8. Realize the filter
9. Give the relationship between autocorrelation sequence and power spectrum density of a discrete sequence and list out their use.
10. What is meant by upsampling show its implementation?
Part-B (5 x 16 = 80 Marks)
11. i. Find h(n) for
ii. Given x1¬(n) = {2,1,1,2}, x2(n) = {1, -1, -1, 1}
Find the convolution of x1(n) and x2(n)
12. (a) Design a LPF with following specifications. Use Hamming window
and at least 8 points.
(b) Design and implement a linear phase FIR filter of length M = 15 which has the following unit sample response
H(2 k/15) = { 1 k = 0, 1, 2, 3
0 k = 4, 5, 6, 7}
13. (a) i. Obtain H(z) from H(s) when T = 1 sec.
ii. Design a digital BPF using w1 & w2 as cutoff frequencies
(OR)
(b) i. Find H(s) for 3rd order filter.
ii. Design a Chebyshev LPF filter for the following specification
Maximum pass band ripple = 1.2dB.
At W = 2.5 r/s, the loss is –30 dB at 1r/s.
14. (a) i. Discuss errors due to finite word length effect.
ii. Realize the following H(z) given by
using cascade and Parallel form with Direct form-I.
(OR)
(b) i. What is meant by quantization error? Explain briefly.
ii. Realize the following filter using cascade technique with
DF-I and DF-II.
15. (a) Briefly explain
i. Interpolator
ii. Decimator
iii. Effects due to sampling rate conversion
iv. Applications of multirate signal processing.
(OR)
(b) i. Briefly explain energy density spectrum, periodogram.
ii. Find periodogram for the following sequence using DFT.
{1,0,2,0,3,1,0,2}
******
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