# What does poles in unit circles center mean?

Suppose i have all my poles in unit circle center. What kind of information this gives me?

Can i determine if this filter is IIR or FIR?

If you have $$N$$ poles at $$z=0$$ this means that your transfer function has the form
$$H(z)=\frac{P(z)}{z^N}\tag{1}$$
where $$P(z)$$ is a polynomial. What does this tell you about the filter type? (Hint: write $$H(z)$$ as a sum of positive and negative powers of $$z$$).