Show that the system described by the equation in which x is the excitation and y is the response is non-linear, time invariant, BIBO stable, static, causal and invertible.

What will be an ideal response?






If x is bounded y is also bounded. Therefore the system is BIBO stable.



The response y at any time depends only on the excitation x at the same time. Therefore the system is static and causal.



ln (y[n] = x[n] Therefore knowledge of y allows determination of x and the system is invertible.

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