> 03000EE307092001 Pages: 2

Reg No.: Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fifth semester B.Tech degree examinations (S) September 2020

Course Code: EE307
Course Name: SIGNAL AND SYSTEMS

Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions, each carries5 marks. Marks
1 Check whether the given signal x(t) = e u(t) is an energy or power signal. (5)
2 Find the ROC of the signal x(t) = € *!* using Laplace transform. (5)
3 State and prove the convolution property of Fourier transform. (5)
4 Briefly explain sampling process and sampling theorem. (5)
Find the initial and final values of X(z) = ह (5)
6 State and prove time delay theorem of Z transform. (5)
7 Find the DTFT of the sequence x(n) = യേല്‍. (5)
8 Explain different types of nonlinearities present in the system. (5)
PART ‏تا‎

Answer any two full questions, each carries10 marks.
9 Briefly explain the classification of different types of systems with example. (10)

10 a) A continuous time LTI system is described by the differential equation (5)

0 ہ2
‎டன — 2y(t) =x(t).Find the impulse response using Laplace‏ سیت
‎transform, if the system is stable . Assume zero initial conditions.‏

0) Find the inverse Laplace transform of ‰ (5) = ಇಷಾ if ROC isi) Re(s) <1 ii) ©)

Re(s) <-4 iii) -4 < Re(s) <1
11 a) Determine whether the system y(t) = t?x(t — 1) is linear, time invariant or (6)
both.
b) Check whether the given signal x(t) = 2cos(10t+1)—sin(4t—1) is (4)

periodic or not and find the fundamental period if the signal is periodic.

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