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Bandlimited Spatiotemporal Field Sampling with Location and Time Unaware Mobile Sensors
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- Citation Author(s):
- Submitted by:
- Sudeep Salgia
- Last updated:
- 20 April 2018 - 6:42pm
- Document Type:
- Poster
- Document Year:
- 2018
- Event:
- Presenters:
- Sudeep Salgia
- Paper Code:
- SPTM-P10.7
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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).