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The optimally tuned nonlinear filter is then compared to the ideal matched filter, which is the optimal filter for the detection with Gaussian noise. We show that the performance of the nonlinear filter, although (expectedly) not as good, comes close to that of the ideal matched filter operating in its strict nominal conditions. We next examine several possible departures, quite plausible in practical operation, from the nominal conditions of the ideal matched filter. We demonstrate that in such degraded conditions, the nonlinear filter can catch up and surpass the performance of the matched filter. This reveals a robustness superiority of the nonlinear filter, compared to the matched filter operating outside its strict nominal conditions.<\/jats:p>","DOI":"10.1142\/s0218127405012193","type":"journal-article","created":{"date-parts":[[2005,5,10]],"date-time":"2005-05-10T11:32:19Z","timestamp":1115724739000},"page":"667-679","source":"Crossref","is-referenced-by-count":12,"title":["EVALUATION OF A NONLINEAR BISTABLE FILTER FOR BINARY SIGNAL DETECTION"],"prefix":"10.1142","volume":"15","author":[{"given":"DAVID","family":"ROUSSEAU","sequence":"first","affiliation":[{"name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes Automatis\u00e9s (LISA), Universit\u00e9 d'Angers, 62 avenue Notre Dame du Lac, 49000 Angers, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JULIO ROJAS","family":"VARELA","sequence":"additional","affiliation":[{"name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes Automatis\u00e9s (LISA), Universit\u00e9 d'Angers, 62 avenue Notre Dame du Lac, 49000 Angers, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"FABING","family":"DUAN","sequence":"additional","affiliation":[{"name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes Automatis\u00e9s (LISA), Universit\u00e9 d'Angers, 62 avenue Notre Dame du Lac, 49000 Angers, France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"FRAN\u00c7OIS","family":"CHAPEAU-BLONDEAU","sequence":"additional","affiliation":[{"name":"Laboratoire d'Ing\u00e9nierie des Syst\u00e8mes Automatis\u00e9s (LISA), Universit\u00e9 d'Angers, 62 avenue Notre Dame du Lac, 49000 Angers, France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2011,11,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127492000379"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127494000290"},{"key":"rf3","first-page":"L453","volume":"14","author":"Benzi R.","journal-title":"J. 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