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a) If the transfer function of a system is H(z) = 2+z^(-2), what is its impulse...

a) If the transfer function of a system is H(z) = 2+z^(-2), what is its impulse response?

b) If the transfer function of a system is 2z/(z-0.5) and it is valid for when |z| > 0.5, what is its impulse response?

c) If the transfer function of a system is 1/(z-2), what is its impulse response?

d) x[n] = (-4)^n U[n]. (U[n] is the unit step function). What is its z-transform and the region of convergence of its z-transform?

e) What is the z-transform and and ROC of (1+j)^n U[n]?

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