Reg No.
: Name :
John Cox Memorial C.S.I Institute Of Technology
DEPARTMENT OF ELECTRONICS AND COMMUNICATION
ENGINEERING
IVth Semester - B.Tech
FIRST INTERNAL EVALUATION, FEBRUARY 2025
Course : ECT204 - SIGNALS AND SYSTEMS
Total Mark: 50 Total Time: 1 Hrs : 30 Mins
General Instructions
1. Answer ALL questions from Part A and One full question from each module of Part B
CO BL MARK
PART A
1. Write short note about the standard signals a) Unit Step Signal. b) Delta orUnit
CO1 3 (3)
Impulse function .
2. Check whether the following systems are time-invariant or time -variant y(t) = x(t)
CO1 3 (3)
Cos200
3. Sketch the signal 2u(t-1) CO1 6 (3)
4. Explain GIbb's phenomenon CO2 1 (3)
5. State and prove Parsevel's theorem in Fourier Series. CO2 1 (3)
6. Prove Differentiation in Frequency of Fourier Transform CO2 1 (3)
PART B
Answer Any Two Question(s)
MODULE 1
7. Check whether the following systems are a) static or dynamic, b) linear or non-linear,
c) causal or non-causal, d) time invariant or time-variant. i) y(t) = y(T) + 3t
CO1 3 (16)
y(t) +y(t) = x(t) . ii) y(n) = cos[x(n)]
OR
8. a) Check whether the signal is energy signal, power signal, neither energy nor power
CO1 2 (8)
signal. x(t) = cos t
b) Check whether the signal is cuasal or non-causal i) u(t) ii) iii) x(t) = sinct CO1 3 (8)
MODULE 2
9. a) Prove the time scaling property of FT and hence find FT of x(t) = CO2 3 (8)
b) Find the FS coefficients fo the continous time periodic signal
x(t) = 1.5 for 0< t<1 CO2 3 (8)
x(t) = --1.5 fot 1<t<2
OR
10. a) What are the properties of ROC? CO2 1 (8)
b) A signal has Laplace Transform X(s) = . Find LT Y(s) of the signal y(t) =
CO2 3 (8)
t.x(t).
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