Properties of locally convergent sequences with respect to median filter |
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Authors: | Wanzhou Ye Liang Wang Liguo Xu |
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Institution: | Department of Mathematics, Shanghai University, Shanghai 200444, China |
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Abstract: | In this paper, for infinite-length sequences (or sequences), we prove that a sequence is convergent with respect to the median filter with window width 2k+1 if and only if the sequence is locally convergent on a segment of length 2k−1 in the sequence. Moreover, the length 2k−1 is minimal for k≠2,3. |
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Keywords: | Median filter Locally convergent sequence Root Recurrent sequence |
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