Q4) For the following second order difference equation: Y[k + 2] – 1.2Y[k + 1] + 0.32 = U[k + 1] – 3U[k] II a) Find the transfer function Y(z)/U(z) b) Find the roots of the characteristic equation and show whether the discrete system is stable or not stable using Z-plane mapping.

KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.

Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection a…