Properties of LTI Systems – 1 MCQ’s

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This set of Signals & Systems Multiple Choice Questions & Answers (MCQs) focuses on “Properties of LTI Systems – 1″.

1. Does the system h(t) = exp([-1-2j]t) correspond to a stable system?
a) Yes
b) No
c) Marginally Stable
d) None of the mentioned

2. What is the rule h*(x*c) = (x*h)*c called?
a) Commutativity rule
b) Associativity rule
c) Distributive rule
d) Associativity and Commutativity rule

3. What is the rule h*(x+y) = (y+x)*h called?
a) Commutativity rule
b) Associativity rule
c) Distributive rule
d) Transitive rule

4. Is y[n] = n*cos(n*pi/4)u[n] a stable system?
a) Yes
b) No
c) Marginally stable
d) None of the mentioned

5. Is y[n] = n*sin(n*pi/4)u[-n] a stable system?
a) Yes
b) No
c) Marginally stable
d) None of the mentioned

6. Does the system h(t) = exp([1-4j]t) correspond to a stable system?
a) Yes
b) No
c) Marginally Stable
d) None of the mentioned

7. What is the rule (h*x)*c = h*(x*c) called?
a) Commutativity rule
b) Associativity rule
c) Distributive rule
d) Transitive rule

8. What is the following expression equal to: h*(c*(b+d(t))), d(t) is the delta function
a) h*c + h*b
b) h*c*b + b
c) h*c*b + h*c
d) h*c*b + h

9. The system transfer function and the input if exchanged will still give the same response.
a) True
b) False

10. For an LTI discrete system to be stable, the square sum of the impulse response should be
a) Integral multiple of 2pi
b) Infinity
c) Finite
d) Zero

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