A discrete time system with input x (n) and out put y (n) is described in the frequency domain by the relation y() e j2X() dX() d (a) Compute the response of the system to the input x(n) (n) (b) Check if the system is LTI and stable

Question: A discrete-time system with input x (n) and out put y (n) is described in the frequency domain by the relation y() = e-j2X() +

A discrete-time system with input x (n) and out put y (n) is described in the frequency domain by the relation
y(ω) = e-j2πωX(ω) + dX(ω)/dω
(a) Compute the response of the system to the input x(n) = δ(n).
(b) Check if the system is LTI and stable.

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