Revision as of 08:01, 11 September 2008 by Nkgentry (Talk)

TIME INVARIANCE

DEFINITION

A system is defined as "time-invariant" when its output is not an explicit function of time. In other words, if one were to shift the input/output put along the time axis, it would not effect the general form of the function.


METHOD

One of the simplest ways to determine whether or not a system is time-invariant is to check whether there is a value t outside of the normal x(t) or y(t). If it does not contain such a value t (outside of the x(t)), then it is time invariant. Consider the following systems:


SYSTEMS

A.) h1(t) = 2x1(3t) + 5

B.) h2(t) = 6t*x2(3t) + 5


System A does not contain a "t" outside of the x1(3t). Therefore, we can call it time-invariant. However, system B does contain a "t" outside of the x2(3t). Thus, system B is time-variant.

Alumni Liaison

Ph.D. 2007, working on developing cool imaging technologies for digital cameras, camera phones, and video surveillance cameras.

Buyue Zhang