Electrical and Electronics Engineering Model Question Paper www.annauniv.edu : Anna University

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ANNA UNIVERSITY :: CHENNAI – 600 025
MODEL QUESTION PAPER
VI - SEMESTER
B.E. ELECTRICAL AND ELECTRONICS ENGINEERING
EE337 - DIGITAL SIGNAL PROCESSING

Time: 3hrs Max Marks: 100

Answer all Questions
PART – A (10 x 2 = 20 Marks)

http://www.annauniv.edu/academic/qp4.htm
http://www.annauniv.edu/academic/mqp5sem-ug/ee337.doc

1.Define even and odd signals.
2.State the disadvantages of digital signal processing over analog processing.
3.Check whether the following system is time-invariant. y (n) = n . x2 (n)
4.State and prove initial value theorem.
5.Define convolution property of continuous time and discrete time signals.
6.What is the method of finding IDFT through DFT?
7.What is aliasing? How it can be eliminated?
8.Define acquisition time and aperture time.
9.Obtain the digital filter transfer function of the following analog filter using impulse invariant transform. H (s) = 1/(s+1) (s+2).
10.What is warping effect?

PART – B (5 x 16 = 80 Marks)

11.i)Develop the algorithm for radix 2, 8-point decimation in time – FFT method. (12)
ii) Find the DFT of the sequence x(n) = { 0, 1, 2, 3 } using DIT - FFT algorithm. (4)
12.a)i)Find the inverse Z-Transform of X(Z) = (z2 + z) / (z-1) (z-3), ROC | z | > 3 by partial fraction method. (9)
ii)Determine the Z transform of x (n) = n (-1)n u(n). (7)
OR
12.b)i)State and prove convolution theorem in Z transform. (6)
ii)Find the Z transform and ROC of the signal x(n) = -bn u(-n-1) (6)
iii)Find the transfer function of the following LTI system: (4)
y(n) = y(n-1) – 0.5 y(n-2) + x(n) +x(n-1)
13.a)i)State and prove Parseval’s theorem in continuous time Fourier Transform. (8)
ii)Show the relationship between DFT and DTFT. (4)