Consider a system with impulse response h[n] = 2 (=) u[n] – 2"u[n] u(n] — 2"u[п] a) Find the system function H(z). b) Plot pole-zero map and region of convergence (ROC). c) Considering the plot in...

Extracted text: Consider a system with impulse response h[n] = 2 (=) u[n] – 2"u[n] u(n] — 2"u[п] a) Find the system function H(z). b) Plot pole-zero map and region of convergence (ROC). c) Considering the plot in (b), explain briefly whether if the system is causal and stable. d) Considering the impulse response, comment on stability and causality of the system and compare them with your conclusions in (c).