Adaptive sampling using mobile robotic sensors

This paper presents an adaptive sparse sampling approach based on mobile robotic sensors. Traditionally, the sampling methods collect measurements without considering possible distributions of target signals. In this paper a feedback driven algorithm is discussed, where new measurements are determined based on the analysis of existing observations under a sparse domain. More specifically, Wavelet structure is considered to optimize measurement projections to substantially reduce the number of measurements based on compressive sensing framework. Sensor motion is designed based on the distribution of optimal measurements, striking a balance between moving cost and measurement value. Simulation results are presented to compare the performance with normal compressive sensing method that uses random measurements and other adaptive sampling methods.

[1]  E. Candès,et al.  Sparsity and incoherence in compressive sampling , 2006, math/0611957.

[2]  A. Singh,et al.  Active learning for adaptive mobile sensing networks , 2006, 2006 5th International Conference on Information Processing in Sensor Networks.

[3]  Gaurav S. Sukhatme,et al.  Adaptive Sampling for Estimating a Scalar Field using a Robotic Boat and a Sensor Network , 2007, Proceedings 2007 IEEE International Conference on Robotics and Automation.

[4]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[5]  Aníbal Ollero,et al.  Vision-based multi-UAV position estimation , 2006, IEEE Robotics & Automation Magazine.

[6]  Hoon Kim,et al.  Monte Carlo Statistical Methods , 2000, Technometrics.

[7]  Lawrence Carin,et al.  Exploiting Structure in Wavelet-Based Bayesian Compressive Sensing , 2009, IEEE Transactions on Signal Processing.

[8]  Michael E. Tipping Sparse Bayesian Learning and the Relevance Vector Machine , 2001, J. Mach. Learn. Res..

[9]  Robert D. Nowak,et al.  Wavelet-based statistical signal processing using hidden Markov models , 1998, IEEE Trans. Signal Process..

[10]  Christian P. Robert,et al.  Monte Carlo Statistical Methods , 2005, Springer Texts in Statistics.

[11]  T. Blumensath,et al.  Sampling Theorems for Signals from the Union of Linear Subspaces , 2008 .

[12]  Mike E. Davies,et al.  Sampling Theorems for Signals From the Union of Finite-Dimensional Linear Subspaces , 2009, IEEE Transactions on Information Theory.

[13]  N.M. Patrikalakis,et al.  Path Planning of Autonomous Underwater Vehicles for Adaptive Sampling Using Mixed Integer Linear Programming , 2008, IEEE Journal of Oceanic Engineering.

[14]  Volkan Cevher,et al.  Model-based compressive sensing for signal ensembles , 2009, 2009 47th Annual Allerton Conference on Communication, Control, and Computing (Allerton).

[15]  Ting Sun,et al.  Single-pixel imaging via compressive sampling , 2008, IEEE Signal Process. Mag..

[16]  Michael Elad,et al.  Stable recovery of sparse overcomplete representations in the presence of noise , 2006, IEEE Transactions on Information Theory.