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Compressive Sensing Inspired Multivariate Median

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Abstract

A new form of the multivariate median is introduced. It is defined as a point in the multidimensional space whose sum of distances from a set of multidimensional hyperplanes is minimal. This median can be used to formulate and solve the problem of sparse signal reconstruction. Application of the proposed multivariate median is illustrated on examples.

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Authors and Affiliations

  1. University of Montenegro, 81000, Podgorica, Montenegro

    Ljubiša Stanković & Miloš Daković

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  1. Ljubiša Stanković
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  2. Miloš Daković
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Correspondence to Ljubiša Stanković.

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Stanković, L., Daković, M. Compressive Sensing Inspired Multivariate Median. Circuits Syst Signal Process 38, 2369–2379 (2019). https://doi.org/10.1007/s00034-018-0955-9

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  • DOI: https://doi.org/10.1007/s00034-018-0955-9

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