2) Frequency response of an LTI system is given as: H(ej) = (1- 0.5 e te)/(1-2 e je ). a) Find the input/output difference equation and the impulse response, h(n) of the system. b) Discuss the...

Extracted text: 2) Frequency response of an LTI system is given as: H(ej) = (1- 0.5 e te)/(1-2 e je ). a) Find the input/output difference equation and the impulse response, h(n) of the system. b) Discuss the causality, stability and being FIR/IR of the system. c) If an input signal, x(n) (1/3)" u(n) + 2 &n), is applied to the system, find the output of the system, y(n), using DTFT methods.