What are odd and even signals

Question

Explain what are odd and even signals?

Answer 1

Even signal : Continuous time signal x(t) is termed as even if it satisfies the condition:

x(t)=x(-t) for all the values of t.

Odd signal : The signal x(t) is termed as odd if it satisfies the condition x(-t)=-x(t) for all t.

It can be said that, even signal is considered as symmetric about the time origin or the vertical axis, but odd signals are considered as anti-symmetric around the vertical axis.