Multiarray Signal Processing: Tensor decomposition meets compressed sensing

@article{Lim2009MultiarraySP,
  title={Multiarray Signal Processing: Tensor decomposition meets compressed sensing},
  author={Lek-Heng Lim and Pierre Comon},
  journal={CoRR},
  year={2009},
  volume={abs/1002.4935}
}
We discuss how recently discovered techniques and tools from compressed sensing can be used in tensor decompositions, with a view towards modeling signals from multiple arrays of multiple sensors. We show that with appropriate bounds on a measure of separation between radiating sources called coherence, one could always guarantee the existence and uniqueness of a best rank-r approximation of the tensor representing the signal. We also deduce a computationally feasible variant of Kruskal’s… CONTINUE READING
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