Download AKTU (Dr. A.P.J. Abdul Kalam Technical University (AKTU), formerly Uttar Pradesh Technical University (UPTU) B-Tech 3rd Semester (Third Semester) 2018-2019 Signals And Systems Rec 303 Question Paper
Printed Pa 1 :01 Subject Code: REC 303
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B TECH
(SEM-III) THEORY EXAMINATION, 2018-19
SIGNALS AND SYSTEMS
Time: 3 Hours T otal Marks: 70
Note: 1. Attempt all Sections. Ifrequire any missing data; then choose suitably.
SECTION A
l. Attempt all questions in brief. 2 x 7 _= 14
a) Distinguish between energy and power signal.
b) de?ne power spectral density
0) Explain signi?cance of convolution in a communication system.
d) What are advantages of Laplace transform?
e) What are the limitations of Fourier transform?
0 de?ne a signal
g) What is interpolation in sampling?
SECTION B
2. Attempt any three of the following: 7 x 3 = 21
a) Classify signals according to signal characteristics. 1. ?331?.
b) Explain the principle of linearity of DT system. W 43?? ,
0) Explain the following properties of Four1er transzM: time scaling, conjugate 1;?1 ?
functions. ?
d) state and prove initial and ?nal value theo ?lfn'of Laplace transform 1 g' ?1; _
? 3. Attempt any one part of their, ., lowing: ' 1:1." W. 7 x l =
a) What IS Shannon? 5 sampling theorem? Also discuss aliasing by taki'ng an example.7
b) Explain the impulse tr ' 'smnpling of discrete time signals. ?
4. Attempt any one part of the following: V 7 x l = 7
a) State whether the following signals x (t) 15 periodic or 1163;, giving reasons. If it' 15
periodic, ?nd the corresponding period.
X(t)= 20051001tt+55in50t ?
b) for an LT] system with unit impulse response hft)?? 2tu(t) .determine the output to
the input x(t)= e u(t) ..
7x1=7
a) Find the energy spectral density of fit);- e"?t u(t)
b) Find impulse response of system descnbed by the equation 2y? (t) + 3y(t)? ? x(t)
6. Attempt any one part of th? following: 7 x l = 7
a) State and prove frequency shifting theorem of DTFT
b) Explain Fourier transform of single sided exponential pulse.
7. Attempt any one part of the following: 7 x l = 7
a) Find Laplace transform of following signal and Draw ROC x(t) = cos (3t+ 1c/4) u(t)
b) Determine z transform of : x(n) = sincpo n u(n)
i l P a g e'
MANISH KUMAR JHA | 31-Dec-2018 09:00:15 I 117.55.242.131
This post was last modified on 29 January 2020