University of Mumbai 2008-6th Sem B.E Electrical and Electronics Engineering Signal & System Analysis Old - Question Paper
Signal & System Analysis Old Course Sem VI June 2008
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P4.-R1 |  |
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CO-2659
[OLD COURSE]
Con. 3295-08.
(3 Hours)
N.B.: (1) Question No. 1 is compulsory.
(2) Attempt any five questions including question No. 1
(3) Assume suitable data, if required.
(4) Figures to the right indicate full marks.
1. (a) Discuss the properties of autocorrelation function. 5
(b) State and explain Nyquist's sampling theorem. 5
(c) Impulse response of DT-LTI system is 5
h(n) = { 1, 1,0, 1, 1 } t
Find output y(n) to the input x(n) = { -3, -2, -1( 0. 1 | t
(d) Explain any three important properties of the z-transform. 5
2. (a) Determine whether or not the signal below is periodic and determine the fundamental 5
period, ii periodic
x(n) = sin (n + 0-2n)
(b) Find the even and odd parts of 5
(c) Given the sequence x(n) = (6 - n) [u(n) u(n 6)], make a sketch of y(n) = x(4 - n). 5
(d) Determine whether following system is stable or unstable - 5
n
k- -aC
3. (a) Find the exponential Fourier series and plot the magnitude and phase spectrum for io the signal x(t) shown in the figure below
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*ct) ; |
k |
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A A |
K A A |
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/\ /\ / |
\ /\ /\ -- - |
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/ \ / \ / |
\/ \/ \ |
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/ V v |
V V . A, |
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-S -0 -z -i |
; z. 3 |
Con. 3295-CO-2659-08.
(b) Find Ihe discrete time Fourier transform of -
10
,n
1
4. (a) Consider a system deccribed by the difference equation y(n) = y(n - 1) - y(n - 2) + 0-5 x(n) + 0*5 x(n - 1). Find the response of the system to the input x(n) = (0-5)n u(n)
10
Assume y(-1) = 0*75 and y(-2) = 0*25.
(b) Find the inverse of the following z-transform
10
21 *5
5. (a) Find the impulse response of the system for all the possible ROC for the system transfer 10 function -
(s+2r (s + 3)
10
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(b) Two signals x.,(t) and x2(t) are same and are shown in a figure below - | |||||||||||
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Attachment: |
| Earning: Approval pending. |
