Revision as of 13:08, 24 January 2011 by Cmcmican (Talk | contribs)

Practice Question on System Invertibility

The input x(t) and the output y(t) of a system are related by the equation

$ y(t)=x(t+2) $

Is the system invertible (yes/no)? If you answered "yes", find the inverse of this system. If you answered "no", give a mathematical proof that the system is not invertible.


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Answer 1

Yes, this system is invertible. The inverse is $ y(t)=x(t-2) $

Proof:

$ x(t) \to \Bigg[ system 1 \Bigg] \to y(t) = x(t+2) \to \Bigg[ inverse \Bigg] \to z(t) = y(t-2) = x((t-2)+2) = x(t) $

--Cmcmican 17:08, 24 January 2011 (UTC)

Answer 2

Write it here.

Answer 3

Write it here.


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