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Reg No.: Name:
APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
V SEMESTER B.TECH DEGREE EXAMINATION(S), MAY 2019

Course Code: EE307
Course Name: SIGNAL AND SYSTEMS
Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions, each carries5 marks. Marks
1 Differentiate between energy and power signals with example. (5)
2 Find the Laplace transform and ROC of the signalx(t) = e~**u(t) + e7* u(t). (5)
3 State and prove Parseval’s theorem for energy signals. (5)
4 Briefly explain zero order and first order hold circuits. (5)
5 Find the 7 transform and ROC of the signal x(n) = a”u(n). (5)
6 State and prove initial value theorem of Z transform. (5)
7 Find the convolution of the given signals using DTFT. (5)

x(n) = ‏ومس‎ x,(n) ==" u(r)

8 Explain different types of nonlinearities present in the system. (5)
PART B
Answer any twofull questions, each carries10 marks.
9 Explain the different types of signals with example. (10)
10 A continuous time LTI system is described by the differential equation (10)

oe + 725 +12y(t) = x(t).Determine the impulse response and_ step

response giveny(0) = -2, y!(0)=0.
11 Define LTI system. Check the causality, time invariance and linearity of the (10)
systemy(n) = x(n’).
PART C
Answer any twofull questions, each carries10 marks.
12 Obtain the trigonometric Fourier series representation of a full wave rectifier (10)
given x(t) = ஊர்‌,
13 a) What is meant by convolution sum? Find the convolution sum given (5)

x(n) = 26(7 + 1) - 5 (72) + 6 (7 - 1) + 36(m - 2)

0) Find the Exponential Fourier Transform of cos ‏اہ‎ (5)

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