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Lagrange Differentiator

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Lagrange Differentiator

by Jianwen Luo

 

17 Jun 2005 (Updated 22 Jun 2005)

The digital differentiator from the Lagrange interpolation.

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Description

The digital differentiator from the Lagrange interpolation.
  It is equivalent to the maximally flat low-pass digital differentiator,
  or the degenerated form of Savitzky-Golay digital differentiator.
 
  Author:
  Jianwen Luo <luojw@ieee.org> 2006-06-17
  Department of Biomedical Engineering,
  Tsinghua University, Beijing 100084, P. R. China
 
  References:
  [1] Carlsson B.
  Maximum Flat Digital Differentiator,
  Electron. Lett. 1991, 27(8): 675-677.
  [2] Kumar B, Roy S C D.
  Coefficients of Maximally Linear, Fir Digital Differentiators for Low-Frequencies,
  Electron. Lett. 1988, 24(9): 563-565.
  [3] Selesnick I W.
  Maximally flat low-pass digital differentiators,
  IEEE Trans. Circuits Syst. II-Analog Digit. Signal Process. 2002, 49(3): 219-223.
  [4] Khan I R, Okuda M, Ohba R.
  Design of FIR digital differentiators using maximal linearity constraints,
  IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 2004, E87A(8): 2010-2017.
  [5] Luo J W, Ying K, He P, Bai J.
  Properties of Savitzky-Golay digital differentiators,
  Digit. Signal Prog. 2005, 15(2): 122-136.
  [6] Luo J W, Ying K, Bai J.
  Savitzky-Golay smoothing and differentiation filter for even number da,
  Signal Process. 2005, 85(7): 1429-1434

MATLAB release MATLAB 7.0.1 (R14SP1)
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Updates
22 Jun 2005

correct a typo.

Tag Activity for this File
Tag Applied By Date/Time
filter design Jianwen Luo 22 Oct 2008 07:50:39
filter analysis Jianwen Luo 22 Oct 2008 07:50:39
digital differentiator Jianwen Luo 22 Oct 2008 07:50:39
lagrange interpolation Jianwen Luo 22 Oct 2008 07:50:39
maximally flat Jianwen Luo 22 Oct 2008 07:50:39

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