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Theoretical analysis on convergence behavior of rank filters

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Abstract

This paper systematically studies the convergence behavior of rank filters. The problem of convergence behavior of rank filters has been solved completely for bounded sequences. Moreover, some properties of its limiting sequences and recurrent sequences are obtained.

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References

  1. Callagher, N. C., Wise, G. L., A theoretical analysis of the properties of median filters, IEEE Trans. on ASSP, 1981, 29: 1136–1141.

    Article  Google Scholar 

  2. Zhou, X. W., Some classes of sequence of generalized median filter converging, Chinese Annals of Mathematics (in Chinese), 1993, 14(A): 515–522.

    MATH  Google Scholar 

  3. Gan, Z. J., Mao, M., Two convergence theorems on deterministic properties of median filters, IEEE Trans. on ASSP, 1991, 39(7): 1689–1690.

    Article  Google Scholar 

  4. Ye, W.Z., Zhou, X. W., Criteria of convergence of median filters and perturbation theorem, IEEE Trans on Signal Processing, 2001, 49(2): 360–363.

    Article  MathSciNet  Google Scholar 

  5. Ye, W. Z., Zhou, X. W., Convergence of the median filterings of sequences, Science in China, Ser. A, 1999, 42(4): 382–386.

    Article  MathSciNet  MATH  Google Scholar 

  6. Brandt, J., Invariant signals for median filters, Utilitas Mathematica, 1987, 31: 93–105.

    MathSciNet  MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Shanghai Jiaotong University, 200240, Shanghai, China

    Wanzhou Ye

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  1. Wanzhou Ye
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Correspondence to Wanzhou Ye.

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Wanzhou, Y. Theoretical analysis on convergence behavior of rank filters. Sci. China Ser. A-Math. 47, 209–219 (2004). https://doi.org/10.1360/03ys0006

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  • DOI: https://doi.org/10.1360/03ys0006

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