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Input design, identification algorithms, and their essential properties are presented under the assumptions that the distribution function of the noise is known and the quantization thresholds are known. The concept of strongly scaled full rank signals is introduced to capture the essential conditions under which the Hammerstein system can be identified with set-valued observations. Under strongly scaled full rank conditions, a strongly convergent algorithm is constructed. Asymptotic consistency and efficiency of the algorithm are investigated.<\/jats:p>","DOI":"10.1137\/070707877","type":"journal-article","created":{"date-parts":[[2010,6,24]],"date-time":"2010-06-24T18:03:11Z","timestamp":1277402591000},"page":"4352-4376","source":"Crossref","is-referenced-by-count":48,"title":["Identification of Hammerstein Systems with Quantized Observations"],"prefix":"10.1137","volume":"48","author":[{"given":"Yanlong","family":"Zhao","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ji-Feng","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Le Yi","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"G. George","family":"Yin","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2010,6,24]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(97)00198-2"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/S0005-1098(01)00292-8"},{"key":"R3","unstructured":"P. Billingsley,\n                      Convergence of Probability Measures\n                      , John Wiley, New York, 1968."},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1049\/ip-d.1980.0047"},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.864183"},{"key":"R6","doi-asserted-by":"crossref","unstructured":"Y. S. 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