Answered: (a) Find its system function H(z). (b)… | bartleby

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Problem 2
A system with input and output signals X(n) and Y(n), respectively, is given
below:
Y(n) = 1.65Y(n – 1) – 0.9Yfr – 2) + X(n).
(a) Find its system function H(z).
(b) Find poles, zeros and the region of convergence (ROC) of H(2), for this causal system. Is
it also stable?
(c) Find the impulse response h(n) of this filter.
(d) Draw block diagram or signal flow graph representation of this filter with minimum
number of delay elements.

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