Chromatic Derivatives and Chromatic Approximations Home Page Last update 22/10/2010   What are the chromatic derivatives?   You can read about the theory of chromatic derivatives in the extended abstract or introduction of  this paper or look at this practical, hands-on interactive Mathematica

TUTORIALS

1.      Frequency estimation using chromatic derivatives,  Mathematica Tutorial/implementation, ideal for engineers who want to learn about the chromatic derivatives, accompanying papers 2 and 3 below. This is a NEW VERSION from July 8th

·      If you do not have Mathematica you can read the above tutorial by installing the free Mathematica Player from the Wolfram’s website, or, alternatively, you can look at the pdf of the above file.

2.     Matlab version of the frequency estimation code, still very crude and poorly commented, soon to be cleaned up:

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Some questions on chromatic derivatives can be found here.

3.     A. Ignjatovic and A. Zayed: Multidimensional chromatic derivatives and series expansions, to appear in the Proceedings of the American Mathematical Society.

4.     A. Ignjatovic: Frequency estimation using time domain methods based on robust differential operators, the 10th IEEE International Conference on Signal Processing (ICSP), 26 – 28 October 2010, Beijing, China. (preprint)  final version

6.     A. Zayed: Generalizations of Chromatic Derivatives and Series Expansions,  IEEE Transactions on Signal Processing, Volume 58 ,  Issue 3,  2010,  1638-1647

7.     A. Ignjatovic: East Journal on Approximations, Volume 15, Number 3 (2009), 263-302.

11.  G.  Walter and X. Shen: A sampling expansion for non bandlimited signals in chromatic derivatives, IEEE Transactions on Signal Processing 53, 2005, 1291–1298.

2001

14.  M. Cushman: A Method for Approximate Reconstruction from Filter Banks, SIAM Conference on Linear Algebra in Signals, Systems and Control, Boston, 2001.

18.  A. Ignjatovic: Numerical differentiation and signal processing, International Conference on Information, Communications and Signal Processing (ICICS), Singapore, 2001.

·      US Patent 6115726: Aleksandar Ignjatovic: Signal processor with local signal behavior.

# ·      US Patent 6313778: Aleksandar Ignjatovic and Nicholas Carlin: Method and a system of acquiring local signal behavior parameters for representing and processing a signal.

SOFTWARE, ETC (if you need help, please feel free to email me!) more implementations to come soon!

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·      Chebyshev chromatic derivatives

2.     Mathematica scripts for the Remez exchange filter design algorithm used to produce the above filters.