Download AKTU B-Tech 3rd Sem 2016-2017 NEE 303EE Basic System Analysis Question Paper

Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 3rd Semester (Third Semester) 2016-2017 NEE 303EE Basic System Analysis Question Paper

Printed Pages: 4 NEE-303/EE-302/EEE-30l
(Following Paper ID and Roll No. to be_ ?lled in your
Answer Books)
Paper ll) : 2390009 Roll No.
B.TECH.
Regular Theory Examination (Odd Sem - 111) 2016-17
BASIC SYSTEM ANALYSIS
Time : 3 Hours . Max. Marks : 100
Note: Attempt all Sections. If require any missing data;
then choose suitably.
Section - A
1. Attempt all questions in brief. (10X2=20)
a) Explain different type of signal. .
b) Distinguish between energy and Power signals.
c) What is region of convergence?
d) Explain static and dynamic systems.
e) Differentiate between Fourier series and Fourier
transform.
f) State the initial and ?nal value theorem for Z-
transform.
g) Differentiate the force voltage analogy and force
current analogy.
303/302/301/12/2016/5480 ? (1) ' [P.T.O.

h)
j)
Attempt any three of the following
a)
b)
d)
N EE?303/EE?302/EEE-301
Explain state transition matrix.
Prove the frequency shi?ing property of F ourier
transform.
What do you mean by characteristic equation of a
system.
Section - B
(3 x 10=30)
Prove the periodicity property and convolution
property of DTF T.
Find the inverse Z?transform of the following
function:
X(z)=1/(1+z?)2(1-z") ROC: z> 1
A system has impulse response h(t)=e'2?u(t). Find
its system ?lnction and the output if the input to the
system is x(t) = e"u(t)
Derive the state equation of a system having transfer
function as follows:
Y(s)/U(s) = 8/s(s+2)(s+3) use.
i) Cascade and
ii) Parallel decomposition;
F ind the Z-transform of the signal x(n) = n2"u(n).
Also ?nd the ROC.
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V v ?~?A~_ _.
N EE-303/EE-302/EEE-301
Section - C
Attempt any one part of the following. (1X10 =10)
8)
b)
Calculate the Laplace transform for the function
F (t) = e?a?sinhbt
An LTI system represented by the following
difference equation
3y(n) = 5y(n?1)?7y(n?2)+4x(n?l) for n 2 0,
determine
i) Impulse response h(n)
ii) Obtain cascade and parallel form realization
for discrete time system.
Attempt any one part of the following: . (1X10 =10)
8)
b)
Determine the inverse Z?transform of the following
functions:
i) X(z)=(Z- 1)/(Zz?4Z+4)
ii) X(Z)=Z2/(ZZ-5/4Z+3/ 8)
Find the convolution of sequences.
X1(n) = (1/4)?u(n) & X2(n)=(1/S)"'2u(n-2) using:
i) Convolution in Z.T.
ii) Time Domain Method.
303/302/301/12/2016/5480
(3) . [P.T.O.

NEE-303/EE-302/EEE-301
5. Attempt any one part of the following. (1X10 =10)
a) For the discrete system described by the difference
equation y(n) = 0. 6y(n-1)-0.08y(n-2)+x(n).
Determine:
i) The unit sample response sequence, h(n),
ii) The step response.
b) Find inverse z transform X(z) = ln(1/(1-a"z)
6. Attempt any one part of the following. (1X10 ==10)
a) Using Laplace transform solve the following
differential equation.
d2y(t)/dt2 +5ay(t)/dt+4y(t) = x(t) , if
x(t) = e?z?u(t) & y(0?) = ?2, @(o-ydr = ?1 , and ?nd
auto correlation of sequence x(n) = (-1,1,-l).
b) Derive and sketch frequency response of second
order continuous time system.
7. Attempt any one part of the following. (1 X10 =10)
a) Find the impulse response & step response of the
following System.
H(s) = 5/(sz+5s+6)
b) Find the Laplace Transfonn of the following signals.~
i) x(t) = te ?u(t)
ii) x(t)=te'2'sin2t u(t)
303/302/301/12/2016/5480 (4)