causal LTI discrete system whose transfer function is given by:
(H(z) = (z - 0.5) / ((z-e^{ln(0.16/z)})(z-0.2))\)
find the impulse response sequence, h[k], for all k.
Check initial and final values of the impulse response sequence using appropriate means.
Is the system stable? Why or why not?
Hint: Rewrite H(z) in a standard form and use Partial Fraction Expansion techniques.