(b) The input and output of a certain discrete time system are related by the linear constant coefficient difference equation defined by the expression below: y[n] - 5y[n-1] + 6y[n - 2] = x[n] + 3x[n-1] + 5x[n-2] (i) Sketch the system implementation structure using direct form 1. (ii) Find the transfer function of the system and plot the zero-pole map. Will you expect this system to be stable? Explain your answer. (iii) Find the impulse response h[n] of the system.

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(b) The input and output of a certain discrete time system are related by the linear
constant coefficient difference equation defined by the expression below:
y[n] -- 5y[n-1] + 6y[n - 2] = x[n] + 3x[n-1] + 5x[n-2]
(i) Sketch the system implementation structure using direct form 1.
(ii) Find the transfer function of the system and plot the zero-pole map. Will you
expect this system to be stable? Explain your answer.
(iii) Find the impulse response h[n] of the system.
Transcribed Image Text:(b) The input and output of a certain discrete time system are related by the linear constant coefficient difference equation defined by the expression below: y[n] -- 5y[n-1] + 6y[n - 2] = x[n] + 3x[n-1] + 5x[n-2] (i) Sketch the system implementation structure using direct form 1. (ii) Find the transfer function of the system and plot the zero-pole map. Will you expect this system to be stable? Explain your answer. (iii) Find the impulse response h[n] of the system.
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