Kronecker product matrices for compressive sensing

@article{Duarte2010KroneckerPM,
  title={Kronecker product matrices for compressive sensing},
  author={Marco F. Duarte and Richard G. Baraniuk},
  journal={2010 IEEE International Conference on Acoustics, Speech and Signal Processing},
  year={2010},
  pages={3650-3653}
}
Compressive sensing (CS) is an emerging approach for acquisition of signals having a sparse or compressible representation in some basis. While CS literature has mostly focused on problems involving 1-D and 2-D signals, many important applications involve signals that are multidimensional. We propose the use of Kronecker product matrices in CS for two purposes. First, we can use such matrices as sparsifying bases that jointly model the different types of structure present in the signal. Second… CONTINUE READING

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