Q3) A linear time-invariant system is described by the FIR difference equation y[n] = x[n] 3x[n − 1] + 9x[n - 2]- 3x[n − 3] + x[n − 4] A) Write a simple formula for the magnitude of the frequency response |H(e-jo)|. Express your answer in terms of real-valued functions only. B) Derive a simple formula for the phase of the frequency response

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Q3) A linear
time-invariant system is described by the FIR difference equation
y[n] = x[n] 3x[n − 1] + 9x[n - 2]- 3x[n − 3] + x[n − 4]
A) Write a simple formula for the magnitude of the frequency response
|H(e-jo)|. Express your answer in terms of real-valued functions only.
B) Derive a simple formula for the phase of the frequency response <H(e¯j^).
Transcribed Image Text:Q3) A linear time-invariant system is described by the FIR difference equation y[n] = x[n] 3x[n − 1] + 9x[n - 2]- 3x[n − 3] + x[n − 4] A) Write a simple formula for the magnitude of the frequency response |H(e-jo)|. Express your answer in terms of real-valued functions only. B) Derive a simple formula for the phase of the frequency response <H(e¯j^).
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