A causal discrete-time LTI system, having input x[n] and output y[n], has impulse response h[n] given by: h[n] = [2(})" - (4)"]«[n) %3D Where u[n] represents the unit step function. Using the...

Extracted text: A causal discrete-time LTI system, having input x[n] and output y[n], has impulse response h[n] given by: h[n] = [2(})" - (4)"]«[n) %3D Where u[n] represents the unit step function. Using the Discrete-time Fourier Transform, (i) determine the frequency response of the system. (ii) express the dynamics of the system in terms of a differential equation.