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Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors

Abstract: 

Sampling of smooth spatiotemporally varying fields is a well studied topic in the literature. Classical approach assumes that the field is observed at known sampling locations and known timestamps ensuring field reconstruction. In a first, in this work the sampling and reconstruction of a spatiotemporal bandlimited field is addressed, where the samples are obtained by a location-unaware, time-unaware mobile sensor. The spatial and temporal order of samples is assumed to be known. It is assumed that the field samples are affected by measurement-noise. The spatial field’s evolution is modelled by a linear constant coefficient partial differential equation. A regression style estimate is developed for reconstruction of the spatial field. The intersample spacings and the intersample timestamp differences are assumed to be from independent unknown renewal processes. If n is the average number of samples of the field obtained by the mobile sensor, then it is shown that the mean-squared error decreases as O(1/n).

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Paper Details

Authors:
Animesh Kumar
Submitted On:
20 April 2018 - 6:42pm
Short Link:
Type:
Poster
Event:
Presenter's Name:
Sudeep Salgia
Paper Code:
SPTM-P10.7
Document Year:
2018
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Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Sensors Poster

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[1] Animesh Kumar, "Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors", IEEE SigPort, 2018. [Online]. Available: http://sigport.org/3116. Accessed: Aug. 19, 2018.
@article{3116-18,
url = {http://sigport.org/3116},
author = {Animesh Kumar },
publisher = {IEEE SigPort},
title = {Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors},
year = {2018} }
TY - EJOUR
T1 - Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors
AU - Animesh Kumar
PY - 2018
PB - IEEE SigPort
UR - http://sigport.org/3116
ER -
Animesh Kumar. (2018). Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors. IEEE SigPort. http://sigport.org/3116
Animesh Kumar, 2018. Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors. Available at: http://sigport.org/3116.
Animesh Kumar. (2018). "Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors." Web.
1. Animesh Kumar. Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors [Internet]. IEEE SigPort; 2018. Available from : http://sigport.org/3116