{"title":"二次型随机系统的可辨识性","authors":"P. Bondon","doi":"10.1109/HOST.1993.264599","DOIUrl":null,"url":null,"abstract":"Quadratic systems are the simplest nonlinear time-invariant systems and correspond to the second term of the Volterra expansion. Such systems appear in various fields of signal processing, in particular in detection and estimation. The author studies the identifiability of a discrete and finite extent quadratic stochastic system, driven by a sequence of independent, identically distributed random variables. When the input is available, the system is identified using cross-cumulants between the input and the output. When the input is unobservable, only the output cumulants up to the third-order are considered.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"21 S4","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"On the identifiability of a quadratic stochastic system\",\"authors\":\"P. Bondon\",\"doi\":\"10.1109/HOST.1993.264599\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Quadratic systems are the simplest nonlinear time-invariant systems and correspond to the second term of the Volterra expansion. Such systems appear in various fields of signal processing, in particular in detection and estimation. The author studies the identifiability of a discrete and finite extent quadratic stochastic system, driven by a sequence of independent, identically distributed random variables. When the input is available, the system is identified using cross-cumulants between the input and the output. When the input is unobservable, only the output cumulants up to the third-order are considered.<<ETX>>\",\"PeriodicalId\":439030,\"journal\":{\"name\":\"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics\",\"volume\":\"21 S4\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/HOST.1993.264599\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/HOST.1993.264599","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the identifiability of a quadratic stochastic system
Quadratic systems are the simplest nonlinear time-invariant systems and correspond to the second term of the Volterra expansion. Such systems appear in various fields of signal processing, in particular in detection and estimation. The author studies the identifiability of a discrete and finite extent quadratic stochastic system, driven by a sequence of independent, identically distributed random variables. When the input is available, the system is identified using cross-cumulants between the input and the output. When the input is unobservable, only the output cumulants up to the third-order are considered.<>
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