(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

x[n] = a^{n}u[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

2. Relevant equations

u[n] is the unit step function

3. 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.

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# Homework Help: System transfer function

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