{"title":"非线性系统与高阶统计量","authors":"K. Lii","doi":"10.1109/HOST.1993.264608","DOIUrl":null,"url":null,"abstract":"The author illustrates various ways higher order statistics are used in the analysis of various nonlinear models. The Navier-Stokes equation is used to illustrate the nonlinear interaction of different wave numbers in a homogeneous velocity field. A hybrid method is used to illustrate the estimation of bispectral density function of a continuous-time stationary process sampled by a random point process. A set of specific nonlinear models is used to demonstrate the use of higher order statistics to discriminate among competing models.<<ETX>>","PeriodicalId":439030,"journal":{"name":"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1993-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Nonlinear systems and higher-order statistics\",\"authors\":\"K. Lii\",\"doi\":\"10.1109/HOST.1993.264608\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The author illustrates various ways higher order statistics are used in the analysis of various nonlinear models. The Navier-Stokes equation is used to illustrate the nonlinear interaction of different wave numbers in a homogeneous velocity field. A hybrid method is used to illustrate the estimation of bispectral density function of a continuous-time stationary process sampled by a random point process. A set of specific nonlinear models is used to demonstrate the use of higher order statistics to discriminate among competing models.<<ETX>>\",\"PeriodicalId\":439030,\"journal\":{\"name\":\"[1993 Proceedings] IEEE Signal Processing Workshop on Higher-Order Statistics\",\"volume\":\"4 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1993-06-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"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.1993.264608\",\"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.1993.264608","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The author illustrates various ways higher order statistics are used in the analysis of various nonlinear models. The Navier-Stokes equation is used to illustrate the nonlinear interaction of different wave numbers in a homogeneous velocity field. A hybrid method is used to illustrate the estimation of bispectral density function of a continuous-time stationary process sampled by a random point process. A set of specific nonlinear models is used to demonstrate the use of higher order statistics to discriminate among competing models.<>
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