Revision as of 18:40, 12 September 2008 by Verman (Talk)

(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

Part D : Time Invariance

A time invariant system is a system that commutes a time delay by to, for any to.

example : x(t) ----->SYSTEM-----> y(t)= 10 x(t)

proof :

(i) x(t)----> TIME DELAY------>y(t) =x(t-to)------->SYSTEM----> z(t) = 10y(t)=10x(t-to)

   
    x(t)-----> SYSTEM----->y(t) = 10 x(t)---> TIME DELAY-----> z(t)= y(t-to)=10 x (t-to)

Since both outputs are same,the system is time invariant.

Alumni Liaison

Recent Math PhD now doing a post-doctorate at UC Riverside.

Kuei-Nuan Lin