A canonical parameter space is introduced for linear time-invariant, discrete-time systems design. All observable and controllable linear systems of a given order are shown to share one stability… Expand

The class of multiplicative FIR (MFIR) filters is considered and some properties and applications of MFIR filters are investigated. MFIR filter approximation of a given IIR filter is shown to reduce… Expand

The volume of the coefficient space domain of polynomials with zeros in the unit circle is evaluated. This volume is an upper bound on the volume of any domain of coefficient variations of any shape… Expand

In recursive digital filters, the norm of the system matrix is an important design parameter with respect to overflow behavior. Filter realizations that minimize this norm are shown to be free of… Expand

A well-known algorithm for complex multiplication which requires three real multiplications and five real additions is observed not to require commutativity.Expand