Sum of a periodic and aperiodic signal always be an aperiodic signal.

Sum of a periodic and aperiodic signal always be an aperiodic signal. Correct Answer False

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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