DocumentCode
1266471
Title
New design of full band differentiators based on Taylor series
Author
Khan, I.R. ; Ohba, R.
Author_Institution
Div. of Appl. Phys., Hokkaido Univ., Sapporo, Japan
Volume
146
Issue
4
fYear
1999
fDate
8/1/1999 12:00:00 AM
Firstpage
185
Lastpage
189
Abstract
The classical central difference approximations of the derivative of a function based on Taylor series are the same as type III maximally linear digital differentiators for low frequencies. A new finite difference formula is derived which can be implemented as a full band type IV maximally linear differentiator. The differentiator is compared with type III maximally linear and type IV equiripple minimax differentiators. A modification is proposed in the design to minimise the region of inaccuracy near the Nyquist frequency edge
Keywords
approximation theory; digital filters; finite difference methods; network synthesis; series (mathematics); Nyquist frequency edge; Taylor series; central difference approximations; digital filters; finite difference formula; full band differentiators design; function derivative; low frequencies; type III maximally linear digital differentiators; type IV equiripple minimax differentiators; type IV maximally linear differentiator;
fLanguage
English
Journal_Title
Vision, Image and Signal Processing, IEE Proceedings -
Publisher
iet
ISSN
1350-245X
Type
jour
DOI
10.1049/ip-vis:19990380
Filename
803319
Link To Document