Problem

Consider an LTI system with frequency response The input x[n] to the system is...

Consider an LTI system with frequency response

The input x[n] to the system is restricted to be real valued and to have a Fourier transform (i.e., x[n] is absolutely summable). Determine whether or not it is possible to always uniquely recover the system input from the system output. If it is possible, describe how. If it is not possible, explain why not.

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