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Sum of a periodic and aperiodic signal always be an aperiodic signal.(a) True(b) FalseI had been asked this question in unit test.My question comes from Channel in section Elements of Communication System of Analog Communications

Answer»

The correct option is (b) False

For explanation I would say: Periodic signal is a signal which repeats itself after a REGULAR interval. While Aperiodic Signal does not REPEAT itself at regular interval of time.

For example: Let F(X) = sin(x), be a periodic function with period 2π and g(x) = −sin(x) + sin(√2x), be an aperiodic function. Now the sum of both i.e. f(x) + g(x) = sin(√2x), which is a periodic function.

Therefore, the sum of a periodic and aperiodic signal can be periodic.


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