Consider a system described by a linear constant coefficient difference equation with initial rest conditions The step response of the system is given by y n (1 3) n u n (1 4) n u n u n (a) Determine the difference equation (b) Determine the impulse response of the system (c) Determine whether or not the system is stable

Question: Consider a system described by a linear constant-coefficient difference equation with initial-rest conditions. The step response of the system is given by y[n] = (1/3)

Consider a system described by a linear constant-coefficient difference equation with initial-rest conditions. The step response of the system is given by

y[n] = (1/3)ⁿ u[n] + (1/4)ⁿ u[n] + u[n].

(a) Determine the difference equation.

(b) Determine the impulse response of the system.

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