Similarity recovery from threshold-based sampling under general conditions

Autoren Bernhard Moser
Editoren
Titel Similarity recovery from threshold-based sampling under general conditions
Typ Artikel
Journal IEEE Transactions on Signal Processing
Verlag IEEE
Nummer 17
Band 65
DOI 10.1109/TSP.2017.2712121
Monat September
Jahr 2017
Seiten 4645-4654
SCCH ID# 16097
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.