A New Method for the Computation of Digital Filter Coefficients - Part 1

Article Abstract:

A new method for computing the coefficient of a digital algorithm to simulate a continuous transfer function is shown in a number of examples to be simple to apply and highly effective in operation. The poles of the function of s are mapped directly into the z-plane, but the positions of the z-plane zeros (which may be equal in number to the poles, or greater) are derived by a more complex process involving the use of the Taylor series expansion.

Engineering, Models, Simulation, Continuous Simulation, Function Analysis

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A New Method for the Computation of Digital Filter Coefficients - Part II

Article Abstract:

This is the second part of a two-part paper which describes a new method for computing the coefficients of a digital algorithm designed to emulate the performance of any given continuous transfer function. It is based upon the Taylor series expansion, is easily applied, and is shown to have considerable advantages over the use of the bilinear transform with which it is compared in a number of examples. (Reprinted by Permission of Publisher.)

Mathematics of Computing, Theory, Transforms, Theory of Computation, Transfer Functions

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On the computation of digital filter coefficients

Article Abstract:

Using the Taylor series expansion, a method is developed for estimating the value of a signal and its first derivative based on previous samples of the signal. (Reprinted by permission of the publisher.)

Filtering, technical, Spline

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