Question

For a continuous time signal x(t) to be periodic with a period T, then x(t+mT) should be equal to ___________

(a) x(-t)

(b) x(mT)

(c) x(mt)

(d) x(t)

I had been asked this question in class test.

My question comes from Classification of Signals in section DSP – Basic Signaling of Digital Signal Processing

Answer 1

Right answer is (d) x(t)

The explanation is: If a signal x(t) is said to be periodic with period T, then x(t+mT)=x(t) for all t and any integer m.