**Question 1.**

Sketch the z-plane pole-zero plot and determine the stability status for the following digital system. Determine the h(n) in MatLab.

**Question** **2. **

A relaxed DSP system is described by the difference equation

y(n)+0.1y(n-1)-0.2y(n-2) = x(n) +x(n-1)

Find and sketch the first ten terms of the impulse response of the signal in MatLab.

**Question 3**.

Consider a difference equation with its initial conditions.

Determine y(n) in MatLab.

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