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Construction of ternary matrices with small coherence for compressed sensing

Construction of ternary matrices with small coherence for compressed sensing

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Recently, the binary matrix with binary correlations between columns has attracted attention for its sparse structure and competitive performance. However, such kind of matrix tends to suffer an increasing coherence, i.e. the maximum absolute correlation between columns, as the compression ratio decreases. It is shown here that the binary matrix mentioned above allows to be duplicated in columns, while not degrading the coherence, if bipolar signs are introduced. The resulting ternary matrix is thus expected to present smaller coherence than the aforementioned binary matrix of same size.

References

    1. 1)
    2. 2)
    3. 3)
    4. 4)
      • W. Lu , K. Kpalma , J. Ronsin .
        4. Lu, W., , Kpalma, K., Ronsin, J.: ‘Sparse binary matrices of LDPC Codes for compressed sensing’. Data Compression Conf. (DCC), Snowbird, UT, USA, April 2012, p. 405.
        . Data Compression Conf. (DCC) , 405
    5. 5)
    6. 6)
      • X. Liu , S. Xia .
        6. Liu, X., Xia, S.: ‘Reconstruction guarantee analysis of binary measurement matrices based on girth’. IEEE Int. Symp. on Information Theory Proc. (ISIT), Istanbul, Turkey, July 2013, pp. 474478.
        . IEEE Int. Symp. on Information Theory Proc. (ISIT) , 474 - 478
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
    12. 12)
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