Again, not words but DIAGRAMS

File:Timeinvariant301.jpg if z(t)=y(t) then it is said to be Time Invariant (T.I)

Not time Invariant System

$ \,\ x(t) = t^2 $ and the system multiplies it by t.

$ \,\ y(t) = (t-to)^3 $

$ \,\ z(t) = t(t-to)^2 $

and thus it is not T.I. because y(t) does not equal z(t)

Time Invariant System

$ \,\ x(t) = t^2 $ and the system multiplies it by 3.

$ \,\ y(t) = 3(t-to)^2 $

$ \,\ z(t) = 3(t-to)^2 $

and BAMO y(t) does indeed equal z(t) so it is T.I.

Alumni Liaison

Ph.D. on Applied Mathematics in Aug 2007. Involved on applications of image super-resolution to electron microscopy

Francisco Blanco-Silva