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LTI System -1 Starter Quiz

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Question 1

The impulse response of an LTI system is . Then the system is
1) Stable
2) Casual
3) Unstable
4) Not casual
Which of these are correct?

Question 2

A system is characterized by the equation y(t) = [ax(t) + b] then the system is
(i) linear (ii) causal

Question 3

Let x(t) be the input and y(t) be the output of a continuous time system. Match the system properties P1, P2 and P3 with system relations R1, R2, R3, R4.
Properties
P1: Linear but NOT time variant
P2: Time–invariant but NOT linear
P3: Linear and time–invariant
Relations
R1: y(t) = x(t)
R2: y(t) = t|x(t)|
R3: y(t) = |x(t)|
R4: y(t) = x(t–5)

Question 4

A system with the impulse response h(t) = 6δ(t+5)

Question 5

Find whether the given signal y(t) = cos 3t x(t-T) is time variant or invariant?

Question 6

The system is given by z(t) = y(t²), which is/are correct for the continuous time system:
i. causal ii. linear
iii. time varying iv. non causal
v. time-invariant vi. non-linear

Question 7

Consider a continuous-time system with input x(t) and output y(t) related by

y(t) = x (sin 3t) + 4, the given system is

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ESE & GATE EC Signals and Systems

Jul 6ESE & GATE EC