The frequency response of a LZD system is given as; H(ejω) = (1- 2 e–jω) / (1 – 0.5 e –jω ) a) Give the input/output difference equation of the system and draw the Direct II Form block diagram. b) Give the system's impulse response h(n). c) Discuss the causality, stability and FIR/IIR type of the system. d) For input sign x(n) = (1/4)'' u(n) + 4 δ(n), find the output y(n) of the system by DTFT methods.

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The frequency response of a LZD system is given as;
H(e) = (1- 2 e–jω) / (1 – 0.5 e –jω )

a) Give the input/output difference equation of the system and draw the Direct II Form block diagram.
b) Give the system's impulse response h(n).
c) Discuss the causality, stability and FIR/IIR type of the system.
d) For input sign x(n) = (1/4)'' u(n) + 4 δ(n), find the output y(n) of the system by DTFT methods.

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