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Sum of two periodic signals is a periodic signal when the ratio of their time periods is ____________

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Sum of two periodic signals is a periodic signal when the ratio of their time periods is ____________

(a) A rational number

(b) An irrational number

(c) A complex number

(d) An integer

This question was posed to me in an online interview.

The above asked question is from Signal Classification and Properties in chapter Signals and Systems Basics of Signals and Systems

1 Answer

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Correct option is (a) A rational number

Easy explanation: Sum of two periodic signals is a periodic signal only when the ratio of their time periods is a rational number or it is the ratio of two integers. For e.g., T1/T2 = 5/7 → Periodic; T1/T2 = 5 → Aperiodic.

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