Name
Abstract | ||
|---|---|---|
It is shown that the original definition of e developed by Euler can be used as the basis of a delay approximation where all the poles have the same value. Furthermore, it is demonstrated that by splitting the Euler function into complex pole pairs, by the addition of an artificial variable β, an additional degree of freedom can be introduced. Through optimisation of the value of β it is shown that either the group delay or step response can be optimised. This delay approximation, when compared to a standard Bessel approximation, is shown to provide acceptable performance for many applications. Furthermore, it offers the considerable practical benefit of being realisable as a cascade of identical building block elements when appropriate technologies (e.g. second-order active filter blocks) are used |
Year | DOI | Venue |
|---|---|---|
2001 | 10.1049/ip-cds:20010288 | Circuits, Devices and Systems, IEE Proceedings - |
Keywords | Field | DocType |
active filters,circuit optimisation,delay filters,network topology,poles and zeros,step response,Bessel approximation,Euler function,artificial variable,complex pole pair,degree of freedom,delay approximation,group delay,optimisation,second-order active filter,step response,synchronous filter topology | Step response,Active filter,Control theory,Network synthesis filters,Euler function,Group delay and phase delay,Bessel filter,Euler's formula,Electronic engineering,Minimum phase,Mathematics | Conference |
Volume | Issue | ISSN |
148 | 3 | 1350-2409 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Myles H. Capstick | 1 | 19 | 3.91 |
| Fidler, J.K. | 2 | 0 | 0.34 |