Signal recovery and the large sieve
SIAM Journal on Applied Mathematics
On the approximability of minimizing nonzero variables or unsatisfied relations in linear systems
Theoretical Computer Science
Atomic Decomposition by Basis Pursuit
SIAM Journal on Scientific Computing
The anatomy of a context-aware application
MobiCom '99 Proceedings of the 5th annual ACM/IEEE international conference on Mobile computing and networking
Dynamic fine-grained localization in Ad-Hoc networks of sensors
Proceedings of the 7th annual international conference on Mobile computing and networking
Calibration as parameter estimation in sensor networks
WSNA '02 Proceedings of the 1st ACM international workshop on Wireless sensor networks and applications
Broadband Ultrasonic Location Systems for Improved Indoor Positioning
IEEE Transactions on Mobile Computing
The design and implementation of a self-calibrating distributed acoustic sensing platform
Proceedings of the 4th international conference on Embedded networked sensor systems
Data compression algorithms for energy-constrained devices in delay tolerant networks
Proceedings of the 4th international conference on Embedded networked sensor systems
Capturing high-frequency phenomena using a bandwidth-limited sensor network
Proceedings of the 4th international conference on Embedded networked sensor systems
Radio interferometric tracking of mobile wireless nodes
Proceedings of the 5th international conference on Mobile systems, applications and services
On Model Selection Consistency of Lasso
The Journal of Machine Learning Research
BeepBeep: a high accuracy acoustic ranging system using COTS mobile devices
Proceedings of the 5th international conference on Embedded networked sensor systems
Robust Face Recognition via Sparse Representation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Safety assurance and rescue communication systems in high-stress environments: a mining case study
IEEE Communications Magazine
A two-way time of flight ranging scheme for wireless sensor networks
EWSN'11 Proceedings of the 8th European conference on Wireless sensor networks
TWEET: an envelope detection based broadband ultrasonic ranging system
Proceedings of the 14th ACM international conference on Modeling, analysis and simulation of wireless and mobile systems
Uncertainty principles and ideal atomic decomposition
IEEE Transactions on Information Theory
A generalized uncertainty principle and sparse representation in pairs of bases
IEEE Transactions on Information Theory
Sparse representations in unions of bases
IEEE Transactions on Information Theory
IEEE Transactions on Information Theory
Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
IEEE Transactions on Information Theory
Efficient background subtraction for real-time tracking in embedded camera networks
Proceedings of the 10th ACM Conference on Embedded Network Sensor Systems
Proceedings of the 10th ACM Conference on Embedded Network Sensor Systems
Real-time classification via sparse representation in acoustic sensor networks
Proceedings of the 11th ACM Conference on Embedded Networked Sensor Systems
SparseGPS: energy efficient GPS acquisition via sparse approximation
Proceedings of the 11th ACM Conference on Embedded Networked Sensor Systems
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Cross-correlation is a popular signal processing technique used in numerous localization and tracking systems for obtaining reliable range information. However, a practical efficient implementation has not yet been achieved on resource constrained wireless sensor network platforms. We propose cross-correlation via sparse representation: a new framework for ranging based on l1-minimization. The key idea is to compress the signal samples on the mote platform by efficient random projections and transfer them to a central device, where a convex optimization process estimates the range by exploiting its sparsity in our proposed correlation domain. Through sparse representation theory validation, extensive empirical studies and experiments on an end-to-end acoustic ranging system implemented on resource limited off-the-shelf sensor nodes, we show that the proposed framework, together with the proposed correlation domain achieved up to two order of magnitude better performance compared to naive approaches such as working on DCT domain and downsampling. Furthermore, compared to cross-correlation results, 30-40% measurements are sufficient to obtain precise range estimates with an additional bias of only 2-6cm for high accuracy application requirements, while 5% measurements are adequate to achieve approximately 100cm precision for lower accuracy applications.