Design of canonical higher order digital filters

The study of stability tests for higher-order systems and the parallel treatment developed for the continuous and the discrete-time case [1] leads to a simple way to design higher-order digital filters. Using a bilinear transform on a canonical, direct form analog filter of arbitrary order, a digital filter can be found that is still canonical, but has low noise and low sensitivity.With a simple mapping of the coefficients of a discrete-time transfer function onto a canonical set of multipliers, the resulting filter can also be found directly in the digital domain.