{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T14:28:46Z","timestamp":1740148126530,"version":"3.37.3"},"reference-count":20,"publisher":"Wiley","license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61401181","KC16SY160"],"award-info":[{"award-number":["61401181","KC16SY160"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Xuzhou Municipal Science and Technology Project","award":["61401181","KC16SY160"],"award-info":[{"award-number":["61401181","KC16SY160"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Intelligence and Neuroscience"],"published-print":{"date-parts":[[2018]]},"abstract":"<jats:p>Estimating single-trial evoked potentials (EPs) corrupted by the spontaneous electroencephalogram (EEG) can be regarded as signal denoising problem. Sparse coding has significant success in signal denoising and EPs have been proven to have strong sparsity over an appropriate dictionary. In sparse coding, the noise generally is considered to be a Gaussian random process. However, some studies have shown that the background noise in EPs may present an impulsive characteristic which is far from Gaussian but suitable to be modeled by the <jats:italic>\u03b1<\/jats:italic>-stable distribution <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mfenced separators=\"|\"><mml:mrow><mml:mn mathvariant=\"normal\">1<\/mml:mn><mml:mo>&lt;<\/mml:mo><mml:mi mathvariant=\"normal\">\u03b1<\/mml:mi><mml:mo>\u2264<\/mml:mo><mml:mn mathvariant=\"normal\">2<\/mml:mn><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math>. Consequently, the performances of general sparse coding will degrade or even fail. In view of this, we present a new sparse coding algorithm using <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M2\"><mml:mrow><mml:mi>p<\/mml:mi><\/mml:mrow><\/mml:math>-norm optimization in single-trial EPs estimating. The algorithm can track the underlying EPs corrupted by <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M3\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math>-stable distribution noise, trial-by-trial, without the need to estimate the <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M4\"><mml:mrow><mml:mi>\u03b1<\/mml:mi><\/mml:mrow><\/mml:math> value. Simulations and experiments on human visual evoked potentials and event-related potentials are carried out to examine the performance of the proposed approach. Experimental results show that the proposed method is effective in estimating single-trial EPs under impulsive noise environment.<\/jats:p>","DOI":"10.1155\/2018\/9672871","type":"journal-article","created":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T19:32:01Z","timestamp":1521747121000},"page":"1-8","source":"Crossref","is-referenced-by-count":0,"title":["Single-Trial Evoked Potential Estimating Based on Sparse Coding under Impulsive Noise Environment"],"prefix":"10.1155","volume":"2018","author":[{"given":"Nannan","family":"Yu","sequence":"first","affiliation":[{"name":"School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou 221116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ying","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou 221116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lingling","family":"Wu","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering and Automation, Jiangsu Normal University, Xuzhou 221116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7688-8710","authenticated-orcid":true,"given":"Hanbing","family":"Lu","sequence":"additional","affiliation":[{"name":"Department of Internal Neurology, Xuzhou Central Hospital, Xuzhou 221116, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/5064892"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/tbme.1984.325246"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1016\/j.bspc.2011.10.002"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1016\/j.clinph.2014.10.007"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/7395385"},{"issue":"2","key":"6","first-page":"11","volume":"37","year":"2017","journal-title":"Journal of Medical Biological Engineering"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1016\/j.compbiomed.2007.04.009"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1155\/2015\/902198"},{"key":"9","doi-asserted-by":"publisher","DOI":"10.1016\/j.compbiomed.2013.09.018"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1109\/10.775410"},{"issue":"6","key":"11","doi-asserted-by":"crossref","first-page":"443","DOI":"10.5405\/jmbe.950","volume":"32","year":"2012","journal-title":"Journal of Medical & Biological Engineering"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/5.231338"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1007\/BF02344806"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2009.2028106"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1155\/2016\/8569129"},{"key":"16","doi-asserted-by":"publisher","DOI":"10.1162\/neco.1991.3.2.246"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1109\/10.623048"},{"issue":"7","key":"19","first-page":"442","volume":"60","year":"2013","journal-title":"IEEE Transactions on Circuits & Systems II Analog & Digital Signal Processing"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1007\/BF00317986"},{"key":"21","doi-asserted-by":"publisher","DOI":"10.1007\/BF02513290"}],"container-title":["Computational Intelligence and Neuroscience"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2018\/9672871.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2018\/9672871.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/cin\/2018\/9672871.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2018,3,22]],"date-time":"2018-03-22T19:32:07Z","timestamp":1521747127000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/cin\/2018\/9672871\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"references-count":20,"alternative-id":["9672871","9672871"],"URL":"https:\/\/doi.org\/10.1155\/2018\/9672871","relation":{},"ISSN":["1687-5265","1687-5273"],"issn-type":[{"type":"print","value":"1687-5265"},{"type":"electronic","value":"1687-5273"}],"subject":[],"published":{"date-parts":[[2018]]}}}