Question

Extract the even part and odd part of the given signals,

1) x(t)=e^t

2) x(t)= 3+2t+5t^3

Answer 1

1. This is a decay exponential that is 0 before t =0 and decays from the value 1 at t =0, after 2.5 seconds x(2.5) is 6.74 x 10^-3. The e^-t function is multiplied by u(t) which is the step function. The step function is 0 when t<0 seconds. There are no even or odd components