Multi-Dimensional Wireless Tomography with Tensor-Based Compressed Sensing
Abstract
Wireless tomography is a technique for inferring a physical environment within a monitored region by analyzing RF signals traversed across the region. In this paper, we consider wireless tomography in a two and higher dimensionally structured monitored region, and propose a multi-dimensional wireless tomography scheme based on compressed sensing to estimate a spatial distribution of shadowing loss in the monitored region. In order to estimate the spatial distribution, we consider two compressed sensing frameworks: vector-based compressed sensing and tensor-based compressed sensing. When the shadowing loss has a high spatial correlation in the monitored region, the spatial distribution has a sparsity in its frequency domain. Existing wireless tomography schemes are based on the vector-based compressed sensing and estimates the distribution by utilizing the sparsity. On the other hand, the proposed scheme is based on the tensor-based compressed sensing, which estimates the distribution by utilizing its low-rank property. We reveal that the tensor-based compressed sensing has a potential for highly accurate estimation as compared with the vector-based compressed sensing.
Cite
@article{arxiv.1407.2394,
title = {Multi-Dimensional Wireless Tomography with Tensor-Based Compressed Sensing},
author = {Kazushi Takemoto and Takahiro Matsuda and Shinsuke Hara and Kenichi Takizawa and Fumie Ono and Ryu Miura},
journal= {arXiv preprint arXiv:1407.2394},
year = {2014}
}
Comments
10 pages, 14 figures, 1 table