Consider a causal, LTI system described by the following difference equation: 3. y[n] – 3y[n] + 5y[n-2] = x[n] – 4x[n-2] (a) Draw the direct form and direct form II simulation diagrams of the system (b)Use recursion to determine and then sketch the impulse response, h[n], of the system. (c) Is the system FIR or IIR? Explain your answer.

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Consider a causal, LTI system described by the following difference
equation:
3.
y[n] – 3y[n] + 5y[n-2] = x[n] – 4x[n-2]
(a) Draw the direct form and direct form II simulation diagrams of the
system
(b)Use recursion to determine and then sketch the impulse response,
h[n], of the system.
(c) Is the system FIR or IIR? Explain your answer.
(d) Determine and plot the step response, s[n].
Transcribed Image Text:Consider a causal, LTI system described by the following difference equation: 3. y[n] – 3y[n] + 5y[n-2] = x[n] – 4x[n-2] (a) Draw the direct form and direct form II simulation diagrams of the system (b)Use recursion to determine and then sketch the impulse response, h[n], of the system. (c) Is the system FIR or IIR? Explain your answer. (d) Determine and plot the step response, s[n].
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