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

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Extracted text: 2) Frequency response of an LTI system is given as: H(e io) = (1- 0.5 e ie)/ (1 – 2 e to ). a) Find the input/output difference equation and the impulse response, h(n) of the system. b) Discuss the causality, stability and being FIR/IIR 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.