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The conventional gradient-based distributed adaptive estimation algorithms exhibit good performance in the presence of Gaussian noise but perform poorly in impulsive noise environments. Therefore, the objective of this article is to propose a robust distributed adaptive algorithm that alleviates the effect of impulsive noise. An error saturation nonlinearity-based robust distributed strategy is proposed in an incremental cooperative network to estimate the desired parameters in impulsive noise. The steady-state analysis of the proposed error saturation nonlinearity incremental least mean squares (SNILMS) algorithm is carried out by employing the spatial-temporal energy conservation principle. Both theoretical and simulation results show that the presence of the error nonlinearity has made the proposed SNILMS algorithm robust to impulsive noise.<\/jats:p>","DOI":"10.1145\/2629667","type":"journal-article","created":{"date-parts":[[2014,12,19]],"date-time":"2014-12-19T13:38:51Z","timestamp":1418996331000},"page":"1-20","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":13,"title":["Error Saturation Nonlinearities for Robust Incremental LMS over Wireless Sensor Networks"],"prefix":"10.1145","volume":"11","author":[{"given":"Trilochan","family":"Panigrahi","sequence":"first","affiliation":[{"name":"National Institute of Science and Technology, Berhampur, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ganapati","family":"Panda","sequence":"additional","affiliation":[{"name":"Indian Institute of Technology Bhubaneswar, India"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bernard","family":"Mulgrew","sequence":"additional","affiliation":[{"name":"University of Edinburgh, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2014,12,18]]},"reference":[{"key":"e_1_2_1_1_1","volume-title":"Proceedings of the Global Symposium on Millimeter Waves","author":"Abu-Ella O. 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