Imperial College London
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ProfessorPier LuigiDragotti

Faculty of Engineering, Department of Electrical and Electronic Engineering

Professor of Signal Processing
 
 
 
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Contact

 

+44 (0)20 7594 6192p.dragotti

 
 
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Location

 

814Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Alexandru:2020:10.1109/TSP.2019.2961301,
author = {Alexandru, R and Dragotti, PL},
doi = {10.1109/TSP.2019.2961301},
journal = {IEEE Transactions on Signal Processing},
pages = {747--763},
title = {Reconstructing classes of non-bandlimited signals from time encoded information},
url = {http://dx.doi.org/10.1109/TSP.2019.2961301},
volume = {68},
year = {2020}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We investigate time encoding as an alternative method to classical sampling, and address the problem of reconstructing classes of non-bandlimited signals from time-based samples. We consider a sampling mechanism based on first filtering the input, before obtaining the timing information using a time encoding machine. Within this framework, we show that sampling by timing is equivalent to a non-uniform sampling problem, where the reconstruction of the input depends on the characteristics of the filter and on its non-uniform shifts. The classes of filters we focus on are exponential and polynomial splines, and we show that their fundamental properties are locally preserved in the context of non-uniform sampling. Leveraging these properties, we then derive sufficient conditions and propose novel algorithms for perfect reconstruction of classes of non-bandlimited signals such as: streams of Diracs, sequences of pulses and piecewise constant signals. Next, we extend these methods to operate with arbitrary filters, and also present simulation results on synthetic noisy data.
AU  - Alexandru,R
AU  - Dragotti,PL
DO  - 10.1109/TSP.2019.2961301
EP  - 763
PY  - 2020///
SN  - 1053-587X
SP  - 747
TI  - Reconstructing classes of non-bandlimited signals from time encoded information
T2  - IEEE Transactions on Signal Processing
UR  - http://dx.doi.org/10.1109/TSP.2019.2961301
UR  - http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000526716600001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=1ba7043ffcc86c417c072aa74d649202
UR  - https://ieeexplore.ieee.org/document/8937791
UR  - http://hdl.handle.net/10044/1/82827
VL  - 68
ER  -
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