Time Invariance

A time invariant system is one in which a time shifted input yields an output of the same time shift:

$ x(t-\delta) = y(t-\delta) $


Example of a time invariant system:

$ x(t) = \sin(t) $

Example of a time variant system:

$ x(t) = t\sin(t) $

In the variant example the amplitude of the signal depends on time so it 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