Practice Question on "Signals and Systems"


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Topic: System Invertibility


Question

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

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

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, as two inputs do not necessarily yield the same output. If it was x(t^2) then sure, but it's x^2 (t) -wade

Answer 2

Write it here.

Answer 3

Write it here.


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