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00000AE307121903

Pages: 2

Reg No.: Name:

APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY

Fifth Semester B.Tech Degree Examination (Regular and Supplementary), December 2020

Max. Marks: 100

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4 a)

Course Code: AE307
Course Name: SIGNALS AND SYSTEMS

PARTA
Answer any two full questions, each carries 15 marks.
Find the even and odd components of the signal

(௩0-௭௪ (1) x(n) = {—2,1,2 — 1,3}, where x(0) = 2
Sketch the signal (i) r(t) — 2r(t-—1) +r(t - 2)
(ii)y(t) = u(t+3) u(-t+3)
Check the systems (i) y(t) = ಯಗಟಿ
(11) y[n] = nx[n] for linearity and time invariance.
Derive the stability criterion for linear time invariant (LTI) system in terms of
impulse response.

Given a _ discrete time LTI system whose impulse response 15
1 T ‘ae ∙
h[n] = n(5)"uln]. est the stability and causality of the system.

Derive the expression for convolution integral for an LTI system.

1 3 2
1

the response शा] of the system corresponding to an_ input

xin} = [1 ന്‌ 2]

Impulse response of a DT-LTI system is given as h[n] = { 1 } Find

Analyse the following signals to determine whether it is energy signal, power

signal or neither. Justify your answer with relevant results and equations.

t, 02021
(i) x(t) = 12 -£, 121242
0, otherwise
(ii) x(t) = t u(t)
PART 13

Answer any two full questions, each carries 15 marks.
Derive the expression for impulse response of an ideal low pass filter and plot

the frequency response.

Duration: 3 Hours

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