Autoregressive, Moving Average (ARMA) process

Look at 2.1 Rational Power Spectra.

A combination of Moving Average (MA) process and Autoregressive (AR) Process, where we have a finite number of poles and zeroes in the z-plane

$$H(z)=\frac{B(z)}{A(z)}$$

And the difference equation for the input-output relationship is given by

Link to original

The Noise-Whitening Filter is therefore a pole-zero system.