- #1
crazycool2
- 16
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Homework Statement
x[n] = anu[n]
A discrete system
y[n] = −1/2y[n − 1] + x[n];
where x[n] and y[n] in- and output of the system, respectively.
Find the system transfer function H(z), and sketch its zeros and poles
in the z-plane
Homework Equations
u[n] is the unit step function
The Attempt at a Solution
I transformed x[n] to X(z)
but what confuses is the-1/2y[n-1],
which basically means the previous -half of the previous output plus the input is equal to out put. but I don't know how to represent the previous output.