Chromatic Derivatives, Chromatic Expansions and Associated Function Spaces

Aleksandar Ignjatovic (1, 2)

1 CSE - Computer Science and Engineering [Sydney]
2 NICTA - National ICT Australia [Sydney]

We present the basic properties of the chromatic derivatives and the chromatic expansions as well as a motivation for introducing these notions. The chromatic derivatives are special, numerically robust linear differential operators; the chromatic expansions are the associated local expansions, which possess the best features of both the Taylor and the Nyquist expansions. This makes them potentially useful in fields involving sampled data, such as signal and image processing.

Domaines: Traitement du signal et de l'image [eess.SP]; Traitement du signal et de l'image [eess.SP]

Aleksandar Ignjatovic. Chromatic Derivatives, Chromatic Expansions and Associated Function Spaces. SAMPTA'09, May 2009, Marseille, France. Special session on fficient design and implementation of sampling rate conversion, resampling and si. ⟨hal-00451767⟩