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DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE –
RAIGAD -402 103
Semester Examination May - 2019
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ELECTRONICS & TELECOMMUNICATION
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Branch:
Sem.:- II
Subject with Subject Code:- SIGNALS & SYSTEMS (BTEXC404)
Marks: 60
Date:- 22/05/2019
Time:- 3 Hr.
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Instructions to the Students
1
2
3
4
. Each question carries 12 marks.
. Attempt any five questions of the following.
. Illustrate your answers with neat sketches, diagram etc., wherever necessary.
. If some part or parameter is noticed to be missing, you may appropriately
assume it and should mention it clearly
_
____________________________________________________________
(Marks)
(6x2=12 M)
Q.1. Attempt the following
A) What is mean by signal? Explain Elementary signal.
B) Sketch the even & odd components of step signal shown in fig.
X(t)
1
0
-t
0
t
OR
B) State & Explain sampling theorem & find nyquist rate of
x(t)=sin 200t
Q.2. Attempt the following
(6x2=12 M)
A) Find the convolution of x(n)={1,2,3,4,5} with h(n)={1,2,3,3,2,1}
B) x(n)= (1/5) u(n), h(n)=3n u(n) find y(n)=x(n)*h(n)
OR
B) What are the properties of convolution? Explain Commutative Property of convolution.
Q.3. Attempt the following
(6x2=12 M)
A) Explain Dirichlet conditions for existence of fourier series
B) Find Exponential Fourier series for the signal shown in fig.
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X(t)=cos (t)
Cos t
-10
-π/2
0
π/2
10
OR
B) Explain the properties of fourier series
Q.4. Attempt the following
(6x2=12 M)
A) Find the fourier transform of x(t)= u(t)
a>0
B) Consider the rectangular pulse shown in fig.which is gate function find fourier transform.
X(t)
1
-T/2
0
T/2
OR
B) Find Fourier transform of x(n)={2,-1,2,-2}
Q.5. Attempt the following
(6x2=12 M)
Where x(t)=0 for t<0
2
A) Given the laplace transform of x(t)
LT
ꢅ
+2
Determine the Laplace Transform of the following signals
1
2
) x(3t)
) x(t-2)
(
ꢄ+ꢈ(ꢄ+1/4)
ꢄ−1/2)
B) Obtain Inverse Laplace transform of X(S) = ꢆ
ROC:σ>-1/4
Q.6. Attempt the following
A) Define following terms
(6x2=12 M)
1
2
3
) Random Experiment
) Sample Space
) Probability
B) A box contain 3 red,4 white & 5 black balls. One ball is drawn random find the probability that it
is, 1) red 2) not black 3) Black or white
*
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