Spectrum Cartography via Coupled Block-Term Tensor Decomposition

TL;DR

This paper introduces a novel tensor decomposition method for spectrum cartography that guarantees the identifiability of individual emitter radio maps under various sampling schemes, improving fine-grained RF source localization.

Contribution

The work presents a coupled block-term tensor decomposition approach for joint radio map recovery and disaggregation with proven identifiability under practical sampling conditions.

Findings

Guarantees identifiability of individual emitter radio maps.

Effective algorithms for radio map disaggregation.

Validated through extensive simulations.

Abstract

Spectrum cartography aims at estimating power propagation patterns over a geographical region across multiple frequency bands (i.e., a radio map)---from limited samples taken sparsely over the region. Classic cartography methods are mostly concerned with recovering the aggregate radio frequency (RF) information while ignoring the constituents of the radio map---but fine-grained emitter-level RF information is of great interest. In addition, many existing cartography methods work explicitly or implicitly assume random spatial sampling schemes that may be difficult to implement, due to legal/privacy/security issues. The theoretical aspects (e.g., identifiability of the radio map) of many existing methods are also unclear. In this work, we propose a joint radio map recovery and disaggregation method that is based on coupled block-term tensor decomposition. Our method guarantees identifiability of the individual radio map of \textit{each emitter} (thereby that of the aggregate radio map as well), under realistic conditions. The identifiability result holds under a large variety of geographical sampling patterns, including a number of pragmatic systematic sampling strategies. We also propose effective optimization algorithms to carry out the formulated radio map disaggregation problems. Extensive simulations are employed to showcase the effectiveness of the proposed approach.