{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T03:56:47Z","timestamp":1774238207857,"version":"3.50.1"},"reference-count":16,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2021,5,15]],"date-time":"2021-05-15T00:00:00Z","timestamp":1621036800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The use of error-correcting codes (ECCs) is essential for designing reliable digital communication systems. Usually, most systems correct errors under cooperative environments. If receivers do not know interleaver parameters, they must first find out them to decode. In this paper, a blind interleaver parameters estimation method is proposed using the Kolmogorov\u2013Smirnov (K\u2013S) test. We exploit the fact that rank distributions of square matrices of linear codes differ from those of random sequences owing to the linear dependence of linear codes. We use the K\u2013S test to make decision whether two groups are extracted from the same distribution. The K\u2013S test value is used as a measure to find the most different rank distribution for the blind interleaver parameters estimation. In addition to control false alarm rates, multinomial distribution is used to calculate the probability that the most different rank distribution will occur. By exploiting those, we can estimate the interleaver period with relatively low complexity. Experimental results show that the proposed algorithm outperforms previous methods regardless of the bit error rate.<\/jats:p>","DOI":"10.3390\/s21103458","type":"journal-article","created":{"date-parts":[[2021,5,17]],"date-time":"2021-05-17T02:31:34Z","timestamp":1621218694000},"page":"3458","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Blind Interleaver Parameters Estimation Using Kolmogorov\u2013Smirnov Test"],"prefix":"10.3390","volume":"21","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2182-2746","authenticated-orcid":false,"given":"Seungwoo","family":"Wee","sequence":"first","affiliation":[{"name":"Department of Electronic Engineering, Hanyang University, Seoul 04763, Korea"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2616-8333","authenticated-orcid":false,"given":"Changryoul","family":"Choi","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, Hanyang University, Seoul 04763, Korea"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3759-3116","authenticated-orcid":false,"given":"Jechang","family":"Jeong","sequence":"additional","affiliation":[{"name":"Department of Electronic Engineering, Hanyang University, Seoul 04763, Korea"}]}],"member":"1968","published-online":{"date-parts":[[2021,5,15]]},"reference":[{"key":"ref_1","unstructured":"Wicker, S.B. (1995). Error Control Systems for Digital Communication and Storage, Prentice Hall."},{"key":"ref_2","unstructured":"Burel, G., and Gautier, R. (2003). Blind estimation of encoder and interleaver characteristics in a non cooperative context. IASTED International Conference on Communications, Internet and Information Technology, ACTA Press."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"450","DOI":"10.1016\/j.sigpro.2008.09.012","article-title":"Blind detection of interleaver parameters","volume":"89","author":"Sicot","year":"2009","journal-title":"Signal Process."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"2079","DOI":"10.1109\/TAES.2018.2875570","article-title":"Novel blind interleaver parameter estimation in a noncooperative context","volume":"55","author":"Choi","year":"2018","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"109","DOI":"10.14801\/jkiit.2017.15.12.109","article-title":"Blind interleaver parameters estimation using Kullback-Leibler divergence","volume":"15","author":"Choi","year":"2017","journal-title":"J. KIIT"},{"key":"ref_6","first-page":"39","article-title":"Blind Estimation for Interleaving Parameter using Probability Mass Function over Fading Channel","volume":"17","author":"Kim","year":"2019","journal-title":"J. KIIT"},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1109\/TBC.2017.2704436","article-title":"Classification of error correcting codes and estimation of interleaver parameters in a noisy transmission environment","volume":"63","author":"Swaminathan","year":"2017","journal-title":"IEEE Trans. Broadcast."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"830","DOI":"10.1109\/TBC.2018.2795461","article-title":"Blind reconstruction of Reed-Solomon encoder and interleavers over noisy environment","volume":"64","author":"Swaminathan","year":"2018","journal-title":"IEEE Trans. Broadcast."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"92171","DOI":"10.1109\/ACCESS.2019.2927078","article-title":"Improved method for interleaving parameter estimation in a non-cooperative context","volume":"7","author":"Kim","year":"2019","journal-title":"IEEE Access"},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"69160","DOI":"10.1109\/ACCESS.2020.2986273","article-title":"Blind estimation of interleaver parameter with a limited number of data","volume":"8","author":"Jang","year":"2020","journal-title":"IEEE Access"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"217282","DOI":"10.1109\/ACCESS.2020.3041795","article-title":"Blind Interleaver Parameter Estimation From Scant Data","volume":"8","author":"Jang","year":"2020","journal-title":"IEEE Access"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"2324","DOI":"10.1109\/TCOMM.2010.08.090481","article-title":"Fast and robust modulation classification via Kolmogorov-Smirnov test","volume":"58","author":"Wang","year":"2010","journal-title":"IEEE Trans. Commun."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1080\/01621459.1951.10500769","article-title":"The Kolmogorov-Smirnov test for goodness of fit","volume":"46","author":"Massey","year":"1951","journal-title":"J. Am. Stat. Assoc."},{"key":"ref_14","first-page":"3","article-title":"Theory of codes with maximum rank distance","volume":"21","author":"Gabidulin","year":"1985","journal-title":"Probl. Peredachi Informatsii"},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Kolchin, V.F., and Kolchin, V.F. (1999). Random Graphs, Cambridge University Press. Number 53.","DOI":"10.1017\/CBO9780511721342"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"5910","DOI":"10.1109\/ACCESS.2017.2754638","article-title":"Enhanced blind interleaver parameters estimation algorithm for noisy environment","volume":"6","author":"Choi","year":"2017","journal-title":"IEEE Access"}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/10\/3458\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T06:02:06Z","timestamp":1760162526000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/21\/10\/3458"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,5,15]]},"references-count":16,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2021,5]]}},"alternative-id":["s21103458"],"URL":"https:\/\/doi.org\/10.3390\/s21103458","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,5,15]]}}}