Sampling over spiraling curves

Philippe Jaming (1) , Felipe Negreira (1) , José Luis Romero

1 IMB - Institut de Mathématiques de Bordeaux

We present our recent work on sampling along spiral-like curves [9], and discuss the main techniques. As a first result we give a sharp density condition for sampling on spirals in terms of the separation between consecutive branches. We then further show that, below this rate, the numerical stability related to the reconstruction of compressible signals when sampled along spirals is significantly limited by the amount of undersampling.

Domaines: Analyse classique [math.CA]; Analyse fonctionnelle [math.FA]; Variables complexes [math.CV]

Philippe Jaming, Felipe Negreira, José Luis Romero. Sampling over spiraling curves. SAMPTA 2019, Jul 2019, Bordeaux, France. ⟨hal-02436173⟩