Contents
Time Invariance
Background
A time invariant system refers to a system where the time has no affect on the amplitude of the function. To put it another way, time is never multiplied or taken to any power, affecting the amplitude
Example of Time Invariant function
$ y(t)=2x(t)cos(t)+1 $ because replace t with $ x_1=x(t-k) $ ,
$ y_1(t-k)=2x_1cos(t)+1=2x(t-k)cos(t-k)+1 $
Now shifted again
$ y_2=y(t-k)=x2x(t-k)cos(t-k)+1=y_1(t) $
