Bandlimited field estimation from samples recorded by a location-unaware mobile sensor

摘要

Spatial field sampling with mobile sensor has recently been addressed in the literature. This work introduces and proposes solution to a fundamental question: can a spatial field be estimated from samples taken by a mobile sensor at unknown sampling locations along a path? Spatially one-dimensional and bandlimited, and temporally fixed fields are considered. It is assumed that field samples are collected on spatial locations realized by an unknown renewal process. That is, the sampling locations and the inter-sample distribution in the renewal process are both unknown. It is shown that average mean-squared error in field estimation decreases as O(1) where n is the sampling-rate employed by the mobile sensor. The sampling rate can be increased by controlling the mean value of the inter-sample spacing by a location unaware mobile sensor.