Given the frequency response 6 + 2e-jo 1- 3e-jo + 4e-j2w H (@) = , find the corresponding difference equation. y [n] = 3y [n - 1] - 4y [n - 21 + 6x [n] + 2x [n – 1] y[n] = 3y[n – 1] + 4y [n - 2] + 6x [n] – 2x [n – 1] y [n] = 3y [n – 1] – 4y [n – 2] – 6x [n] + 2x [n – 1] - y[n] = 3y [n - 1] + 4y [n - 21 - 6x [n] + 2x [n – 1]

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Given the frequency response
6 + 2e-jo
1- 3e-jo + 4e-j20
H (@) =
%3D
find the corresponding difference equation.
y [n] = 3y [n - 1] - 4y [n - 21 + 6x [n] + 2x [n – 1]
%3D
y[n] = 3y[n – 1] + 4y [n – 21 + 6x [n] – 2x [n – 1]
%3D
y[n] = 3y [n - 1] - 4y [n - 21- 6x [n] + 2x [n – 1]
%3D
y [n] = 3y [n- 1] + 4y [n – 21 – 6x [n] + 2x [n – 1]
|
Transcribed Image Text:Given the frequency response 6 + 2e-jo 1- 3e-jo + 4e-j20 H (@) = %3D find the corresponding difference equation. y [n] = 3y [n - 1] - 4y [n - 21 + 6x [n] + 2x [n – 1] %3D y[n] = 3y[n – 1] + 4y [n – 21 + 6x [n] – 2x [n – 1] %3D y[n] = 3y [n - 1] - 4y [n - 21- 6x [n] + 2x [n – 1] %3D y [n] = 3y [n- 1] + 4y [n – 21 – 6x [n] + 2x [n – 1] |
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