000266000 001__ 266000
000266000 005__ 20190624153451.0
000266000 037__ $$aARTICLE
000266000 245__ $$aSampling and Reconstruction of Bandlimited Signals with Multi-Channel Time Encoding
000266000 260__ $$c2019
000266000 269__ $$a2019
000266000 336__ $$aJournal Articles
000266000 520__ $$aSampling is classically performed by recording the amplitude of the input at given time instants; however, sampling and reconstructing a signal using multiple devices in parallel becomes a more difficult problem to solve when the devices have an unknown shift in their clocks. Alternatively, one can record the times at which a signal (or its integral) crosses given thresholds. This can model integrate-and-fire neurons, for example, and has been studied by Lazar and Tóth under the name of "Time Encoding Machines". This sampling method is closer to what is found in nature. In this paper, we show that, when using time encoding machines, reconstruction from multiple channels has a more intuitive solution, and does not require the knowledge of the shifts between machines. We show that, if single-channel time encoding can sample and perfectly reconstruct a 2Ω-bandlimited signal, then M-channel time encoding can sample and perfectly reconstruct a signal with M times the bandwidth. Furthermore, we present an algorithm to perform this reconstruction and prove that it converges to the correct unique solution, in the noiseless case, without knowledge of the relative shifts between the machines. This is quite unlike classical multi-channel sampling, where unknown shifts between sampling devices pose a problem for perfect reconstruction.
000266000 536__ $$aFNS$$c200021_181978/1
000266000 700__ $$0251500$$aAdam, Karen$$g279511
000266000 700__ $$aScholefield, Adam
000266000 700__ $$aVetterli, Martin
000266000 773__ $$tIEEE Transactions on Signal Processing
000266000 8560_ $$fkaren.adam@epfl.ch
000266000 8564_ $$uhttps://infoscience.epfl.ch/record/266000/files/Main%20article.pdf$$s1398020
000266000 909C0 $$mpaolo.prandoni@epfl.ch$$mmihailo.kolundzija@epfl.ch$$0252056$$zGrolimund, Raphael$$xU10434$$pLCAV
000266000 909CO $$pIC$$particle$$ooai:infoscience.epfl.ch:266000
000266000 960__ $$akaren.adam@epfl.ch
000266000 961__ $$apierre.devaud@epfl.ch
000266000 973__ $$aEPFL$$sSUBMITTED$$rREVIEWED
000266000 980__ $$aARTICLE
000266000 981__ $$aoverwrite