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Answer by Matt L. for If the input of the system depends on the future...
The equation$$x[n]=y[n-1]-\frac52y[n]+y[n+1]\tag{1}$$is just a way of representing the input-output relation of a linear time-invariant discrete-time system. It does not mean that the input depends on...
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While I'm aware of the fact that causality implies that the present output is only dependent on present and past inputs, something that is bugging me is what if the input is dependent on future...
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