Similarity recovery from threshold-based sampling under general conditions

B. Moser. Similarity recovery from threshold-based sampling under general conditions. IEEE Transactions on Signal Processing, volume 65, number 17, pages 4645-4654, DOI 10.1109/TSP.2017.2712121, 9, 2017.

Autoren
  • Bernhard A. Moser
TypArtikel
JournalIEEE Transactions on Signal Processing
VerlagIEEE
Nummer17
Band65
DOI10.1109/TSP.2017.2712121
Monat9
Jahr2017
Seiten4645-4654
Abstract

A mathematical framework for similarity recovery from threshold-based sampling based on the concept of quasi-isometry is introduced. The approach leads to a unified model of threshold-based sampling schemes which comprises “send-on-delta” (SOD), “leaky integrate-and-fire” or the psychophysical Weber-Fechner law as examples and gives raise to novel sampling schemes such as “Leaky SOD.” As a result, the input and the output spaces become metric spaces being linked by lower and upper bounds under general conditions which go beyond assumptions in the signal recovery context. In particular, the proposed approach allows us to estimate the signal reconstruction error by resampling the reconstructed signal and applying the quasi-isometric distance measure in the sample space.