Properties of LTI Systems – 4 MCQ’s

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This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Properties of LTI Systems – 4″.

1. An LTI system is memoryless only if ____________
a) It does not store the previous value of the input
b) It does not depend on any previous value of the input
c) It does not depend on stored values of the system
d) It does not depend on the present value of the input

2. A continuous time LTI system has memory only when __________
a) It does not depend on the present value of the input
b) It only depends on the past values of the input
c) Its output always depends both on the previous and past values of the input
d) Its output might depend on the present value as well as the previous value of the input

3. What are the properties of an LTI system posse other than Associative, Commutative and Distributive properties?
a) Memory, invertibility, causality, stability
b) Memory and non-causality
c) Invertibility and stability
d) Causality only

4. Which of the following system is memoryless?
a) h(t)=0,t ≠0
b) h(t)=x(t-1)
c) h(t)=0, t=0
d) h(t)=kx(t+2)

5. Invertibility is only followed by continuous time LTI systems.
a) True
b) False

6. A continuous time LTI system is causal only when __________
a) It depends on the present value of the input
b) It depends on the past values of the input
c) Its output always depends on future values of the input
d) Its output might depend only on the past and present values of the system

7. A continuous time LTI system is invertible only when its inverse exists.
a) True
b) False

8. Which property of an LTI system does the following equation prove h[n]*h1[n]=∂[n]?
a) Invertibility
b) Stability
c) Associativilty
d) Commutative

9. An important property for causality of the system is __________
a) Initial rest
b) Final rest
c) It is memoryless
d) It is unstable

10. Which of the following system is causal?
a) y[n] = 2[n] – 3[n+1]
b) y[n] = 2[n] + 3
c) y[n] = 2[n-7] – 3[n+1]
d) y[n] = 2[n]*3[n+1]

11. When a discrete time LTI system is said to be causal?
a) Output y[n] must not depend on x[k] for k>n
b) Output y[n] must not depend on x[k] for k=n
c) Output y[n] must not depend on x[k] for k<n
d) Output y[n] must depend on x[k] for k>n

12. When are LTI systems stable?
a) Only when bounded input produces a bounded output
b) Only when bounded input produces a unbounded output
c) Only when unbounded input produces a bounded output
d) Only when unbounded input produces an unbounded output

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