Abstract
A central problem in compressed sensing is the construction of sensing matrices. In this paper, we show how to construct sensing matrices by using semilattices, and give many examples of sensing matrices constructed from specific semilattices. Moreover, we show that the new construction for some examples with small parameters gives better sensing matrices compared with previously known constructions.
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Acknowledgements
This research is supported by NSF of China (11271047, 11401282), NSF of Hebei Province (A2016408016), the Fund for Hundreds of Excellent Innovative Talents in Higher Education of Hebei Province (BR2-235) and Foundation of Hebei Education Department (No. YQ2014018).
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Guo, J., Liu, J. Deterministic construction of compressed sensing matrices based on semilattices. J Comb Optim 35, 148–161 (2018). https://doi.org/10.1007/s10878-017-0162-9
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DOI: https://doi.org/10.1007/s10878-017-0162-9