Anna University Chennai 2005 B.E digital signal processing-it department - Question Paper

B.E / B.Tech, DEGREE exam , NOV / DEC 2006
Fourth Semester (IT)
Computer Science and EngineeringVII
DIGITAL SIGNAL PROCESSING
( Common to B.E.(PartTime)
Fourth Semester Regulation 2005)
(Regulation 2004)
Time: three hours Maximum : 100 marks
ans ALL ques.
PART A – (10 X two = 20 marks)
1. State Sampling Theorem?
2. obtain the Poles of the system.
3. obtain the DFT of the sequence x(n) ={1, 1, 0, 0 } DFT is found by FFT.
4. compute the number of multiplications needed in the computation of 512 point radix
2FFT when compared to Direct DFT?
5. elaborate the properties that are maintained identical in the transfer of analog filter into a
digital filter?
6. What is warping effect?

7.Draw the direct from realization of FIR system?
8.What are the define features of a window function? Name the various kinds of
windowing function?
9. What is truncation?
10. Draw a sample/ hold circuit and discuss its operations?
PART B – (5 X 16 = 80 marks)
11. (a) (i) For every of the subsequent discrete time system, determine whether or not the
system is Linear Time, Variant, Causal and Stable?
11.(a) (ii) Determine the transfer function, magnitude & phase response, impulse
response for the system.
11. (b) (i) obtain the Ztransform
of
1) x(n) = two n u (n2)
2) x(n) = n two u (n)
11.(b)(ii) Use convolution to obtain x(n), provided
11.(b) (iii) Determine the cross correlation values of the sequence x1(n) ={ 1, 2, 3, four }
x2(n) = {4, 3, 2, 1}
12. (a) (i) calculate linear and circular convolution of the 2 sequence
x1(n) ={ 1, 2, 2, two } and x2(n) = {1, 2, 3, 4}
12.(a) (ii) calculate the FFT using DIT algorithm for the sequence x(n) = {1, 2, 3, 4, 4, 3,
2, one } and draw the corresponding flow diagram.
12.(b) (i)Prove that multiplication DFT’s of two sequence is equivalent to the DFT of the
circular convolution of the two sequence in time domain?
12.(b)(ii) explain in detail the use of FFT algorithm , in linear filtering?

13.(a) obtain H(z) using impulse invariant technique for the analog system function.
13 (b) (i) find the direct form II, Cascade form parallel form structures for the system?
13.(b) (ii) Design a butterworth filter using linear transformation that satisfies the
subsequent constraint?
14(a) The desired response of a low pass filter is?
14.(b) discuss the kind I & kind two design of FIR filter using frequency sampling
Technique?
15.(a) The output of A/D converter is applied to a digital filter with

system function obtain the o/p noise power for the digital filter when the input
signal is quantized to 8Hz.
15.(b)(i) A digital system is characterized by the difference formula y(n)=0.95 y(n
1)+x(n). Determine the dead band the system when x(n) =0 and y(n) = 13
15.(b) (ii) With neat diagram discuss the analysis and synthesis part of a recorder in
detail?

Earning:   Approval pending.