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The research included a signal extraction part and a signal representation part. Firstly, in order to extract the better <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>\u03a6<\/mml:mi><\/mml:mrow><\/mml:math>-OTDR signal, the time-domain data should be fully preserved. The 2D-TESP method is used to extract data in this paper. There are 29 characters in the traditional TESP method. The characters\u2019 number is reduced from 29 to 13 and the characters\u2019 dimension is expanded from 1 to 2 in the 2D-TESP method. Secondly, in order to represent <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>\u03a6<\/mml:mi><\/mml:mrow><\/mml:math>-OTDR signal better, the characteristics of <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>\u03a6<\/mml:mi><\/mml:mrow><\/mml:math>-OTDR data and damped vibration signals are combined in the paper. The EMD method and the NMF method are combined to form the new method in the paper. Some parameters in the proposed method are optimized and adjusted by GA method. After <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M5\"><mml:mrow><mml:mi>\u03a6<\/mml:mi><\/mml:mrow><\/mml:math>-OTDR data is represented by the proposed method, there is excellent performance both on the length dimension and on the time dimension. Lastly, some experiments are carried out according to the physical truth in this paper. The experiments are carried out in the semianechoic room. The methods of the paper have better performance. The methods are proved to be effective through these experiments.<\/jats:p>","DOI":"10.1155\/2017\/6020645","type":"journal-article","created":{"date-parts":[[2017,9,18]],"date-time":"2017-09-18T17:01:18Z","timestamp":1505754078000},"page":"1-12","source":"Crossref","is-referenced-by-count":3,"title":["The Research on Information Representation of \u03a6-OTDR Distributed Vibration Signals"],"prefix":"10.1155","volume":"2017","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-0207-1385","authenticated-orcid":true,"given":"Yanzhu","family":"Hu","sequence":"first","affiliation":[{"name":"Automation College, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9589-4956","authenticated-orcid":true,"given":"Song","family":"Wang","sequence":"additional","affiliation":[{"name":"Automation College, Beijing University of Posts and Telecommunications, Beijing 100876, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhaoyang","family":"Wang","sequence":"additional","affiliation":[{"name":"Automation College, Beijing Institute of Technology, Beijing 100080, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yixin","family":"Zhang","sequence":"additional","affiliation":[{"name":"Institute of Optical Communication Engineering, Nanjing University, Nanjing 210093, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"2","doi-asserted-by":"publisher","DOI":"10.1364\/AO.17.000330"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1109\/JLT.2005.849924"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.01.048"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.01.045"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.01.043"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2016.09.005"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1177\/1077546315588881"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.3901\/CJME.2014.1103.166"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2011.02.008"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2010.11.019"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1177\/0954406211403360"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.02.003"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1155\/2014\/142304"},{"issue":"2","key":"16","first-page":"122","volume":"46","year":"2014","journal-title":"Journal of Sichuan University"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1038\/44565"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1049\/el.2015.2665"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1109\/TASL.2009.2031510"}],"container-title":["Journal of Sensors"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/js\/2017\/6020645.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/js\/2017\/6020645.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/js\/2017\/6020645.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,9,18]],"date-time":"2017-09-18T17:01:24Z","timestamp":1505754084000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/js\/2017\/6020645\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"references-count":17,"alternative-id":["6020645","6020645"],"URL":"https:\/\/doi.org\/10.1155\/2017\/6020645","relation":{},"ISSN":["1687-725X","1687-7268"],"issn-type":[{"type":"print","value":"1687-725X"},{"type":"electronic","value":"1687-7268"}],"subject":[],"published":{"date-parts":[[2017]]}}}