Under what conditions the three signals x(t), y(t) and z(t) with period t1 t2 and t3 respectively are periodic? - Signals and Systems

Electronics and Communication Engineering (ECE) : Signals and Systems - Quiz(MCQ)

Under what conditions the three signals x(t), y(t) and z(t) with period t1 t2 and t3 respectively are periodic?

A)

t1/t2= t2/t3

B)

t1/t2 is rational

C)

t1/t2/t3= rational

D)

All the ratios of the three periods in any order is rational

Correct Answer : Option (D) : All the ratios of the three periods in any order is rational

Explanation : if x(t) , y(t) and z(t) are to be periodic then,
t1/t2 should be rational and simultaneously
t1/t3 should be rational and
t2/t3 should be rational. Hence, all the ratios of the three periods in any order is rational.

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A)

ergodic process

B)

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C)

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D)

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A)

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B)

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C)

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D)

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A)

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B)

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C)

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D)

currents through resistances and voltages across capacitors

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