DSP – practical even or odd functions

dsp

Signals can be classified as even, odd, or a neither – in which case they can be broken up into their even and odd components. Theoretically its all very nice to be able to say that yes that function is symmetric about the origin, but practically is this ever actually achievable?

My confusion basically is how can a practical signal exist before t = 0 or x[0] and thus allow for classification? In my naive thinking it would seem that you can never have a purely even or odd signal in practice.

EDIT: To clarify, this is about an INPUT

Best Answer

Given a real signal, the choice of exactly which instant constitutes t = 0 is essentially arbitrary. So, for instance, if a signal occurs from 9:00:00 AM day before yesterday, to 9:00:02 AM the same day, you can set t = 0 at 9:00:01 and know what the signal was for t < 0 as well as you do for t > 0.

Related Topic