The difference equation of the system is 2y(n – 2) – 3y(n – 1) + y(n) = 4x(n – 1) + x(n). Determine Y(z)/X(z).(all initial conditions are zero; ‘n’ represents discrete signal, Y(z) is output signal and X(z) is input signal)

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TuteeHUB · Accepted Answer

$\frac{{{z^2} + 4z}}{{3z + 2}}$

TuteeHUB · Answer

$\frac{{{z^2}}}{{{z^2} - 3z + 2}}$

TuteeHUB · Answer

$\frac{{4z}}{{{z^2} - 3z}}$

TuteeHUB · Answer

$\frac{{{z^2} + 4z}}{{{z^2} - 3z + 2}}$

1.	The difference equation of the system is 2y(n – 2) – 3y(n – 1) + y(n) = 4x(n – 1) + x(n). Determine Y(z)/X(z).(all initial conditions are zero; ‘n’ represents discrete signal, Y(z) is output signal and X(z) is input signal)
A.	\(\frac{{{z^2}}}{{{z^2} - 3z + 2}}\)
B.	\(\frac{{4z}}{{{z^2} - 3z}}\)
C.	\(\frac{{{z^2} + 4z}}{{{z^2} - 3z + 2}}\)
D.	\(\frac{{{z^2} + 4z}}{{3z + 2}}\)
Answer» D. \(\frac{{{z^2} + 4z}}{{3z + 2}}\)

The difference equation of the system is 2y(n – 2) – 3y(n – 1) + y(n) = 4x(n – 1) + x(n). Determine Y(z)/X(z).(all initial conditions are zero; ‘n’ represents discrete signal, Y(z) is output signal and X(z) is input signal)

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