Download AKTU B-Tech 3rd Sem 2015-2016 NEE 303 Basic System Analysis Basic Of Signals Systems 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) 2015-2016 NEE 303 Basic System Analysis Basic Of Signals Systems Question Paper

' Printed'Eagesi 6. 9501933931?NEE-303/EEE-301/EE?302
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Paper ID :121303/ ?SW" 00k)m=
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(SEM. 11121111:on EXAMINATION, 2015-16
BASIC SYSTEM ANALYSIS (NEE?303/EEE?301)
BASIC 0F SIGNALS & SYSTEMS (1:13-302)
[Time 3 hours] Section-A [Total Marks:100]"
1. Attempts all parts. All parts carry equal marks. Write
answer of each part in short. ' (2x10=20)
(a) De?ne unit step and unit ramp signals with proper
sketch. ? '
(b) Check the perioidichity of the sig'rial X(t)iej'??-
?(c") Write'Dirichlet'conditions for the existence of
Fourier series. '
((1) Find the F ourier transform of (t-to).
(e) What is time invariaht and time varying system?
(f) State initial value theorem of z-transforms.
(g) F 1nd Z-transform of un1t step and impulse functions
(h) A DeriVe Laplace trailsform of sinh cot-
? 11000 - ' ? 0(1) ' 121.0.

(i) Express the given signal in terms of step signals.
X")
A
9!
1 2 ?
Fig.1
0) List the advantages of state space representation
of linear systetns.
- Section-B
Attempts any live question from this sections. (10x5=50)
2. (a) Find the even and odd components of the signal
shown in ?gure.
11000 (2) NEE?303/EEE~301/EE-302
(b) Draw the force-Current analogy of the mechanical
given in ?gure.
3 Explain the trigonometric and exponential forms of
Fourier series magmatic!) of periodic. Sigi?lS- Find
the mgonomctric Fourier series f9r 9? ??0?? ?g? 31
shown in ?gure.
(a) State and prove duality property of Fourier
transform. '
l 1000 . (3) P.T.O.

n. FindtheinvemeZ-tmnsfonn orfonowingz.
l
1... ? 3'2 . .
(i) X(z)= W757) I ROCi H >2
? (ii) X(z)=log(l+az") ROCilz|>lal
12. . (a) What is-state transitim matrix?-List the important
properties of state transition matrix.
(b) - Obtain the state modal of the electrical circuit
show inFig.7
?7??(?? I.
' .5 h
noon f ' ' (6).NEE?303/EEE~301/EE-302