Design of Canonical Higher Order Digital Filters

Jean H. F. Ritzerfeld, Fac Elektrotechniek · 2006

Abstract—The study of stability tests for higher-order sys-tems 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 digi-tal 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. Keywords—Filter Design, Higher Order, Canonical. I.

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