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(a) Find its system function H(z). (b) Find poles, zeros and the region of convergence (ROC) of H(z), 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.

(a) Find its system function H(z). (b) Find poles, zeros and the region of convergence (ROC) of H(z), 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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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.
Transcribed Image Text: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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