Design of digital differentiators satisfying prescribed specifications using optimisation techniques

Abstract

A procedure is described which can be used to design digital differentiators satisfying prescribed specifications. The procedure, which entails two distinct but similar methods, involves formulating the error between the practical and ideal digital differentiators as a quadratic function which can be readily minimised using standard optimisation algorithms or routines. The new methods are more efficient than methods based on the Remez algorithm, and the designs obtained are more precise or economical than designs based on the window method.