(Solved):
1. A causal system is given as follows \[ y(n)=0.9 y(n-1)+x(n) \] - Determine \( H(z) \) a ...
1. A causal system is given as follows \[ y(n)=0.9 y(n-1)+x(n) \] - Determine \( H(z) \) and sketch its pole-zero plot using MATLAB. - Plot \( \left|H\left(e^{j \omega}\right)\right| \) and \( \angle H\left(e^{j \omega}\right) \). - Determine the impulse response \( h(n) \) by both hand calculation and MATLAB code.