5. Enlist the properties of region of convergence (ROC) and determine the inverse z transform of the function $H(z) = \frac{1+0.1z^{-1}}{1-2.05z^{-1}+z^{-2}}$
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1z^{-1}}{1-2.05z^{-1}+z^{-2}}$$ We can rewrite this as: $$H(z) = \frac{1+0.1z^{-1}}{(1-z^{-1})(1-1.05z^{-1})}$$ We can use partial fraction decomposition to simplify this expression. Let $$H(z) = \frac{A}{1-z^{-1}} + \frac{B}{1-1.05z^{-1}}$$ $$1+0.1z^{-1} = Show more…
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