{"title":"一种分析由多重指数函数表示的数据的方法。","authors":"Y Yamada","doi":"","DOIUrl":null,"url":null,"abstract":"<p><p>A method for the analysis of the data represented by the sum of multiple exponential functions is proposed in which each component of f(t) = n sigma i=1 aie -zetait is expressed as a spectrum. The convolution integral is derived by applying the Laplacian integral to f(t) with suitable transformation of the variables, and the spectrum representation is obtained by using the Fourier transformation. A generalized theoretical analysis is made and several results of numerical evaluations for model data or experimental data are briefly described.</p>","PeriodicalId":75602,"journal":{"name":"Biotelemetry","volume":"4 4","pages":"181-92"},"PeriodicalIF":0.0000,"publicationDate":"1977-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A method for the analysis of the data represented by a multiple exponential function.\",\"authors\":\"Y Yamada\",\"doi\":\"\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>A method for the analysis of the data represented by the sum of multiple exponential functions is proposed in which each component of f(t) = n sigma i=1 aie -zetait is expressed as a spectrum. The convolution integral is derived by applying the Laplacian integral to f(t) with suitable transformation of the variables, and the spectrum representation is obtained by using the Fourier transformation. A generalized theoretical analysis is made and several results of numerical evaluations for model data or experimental data are briefly described.</p>\",\"PeriodicalId\":75602,\"journal\":{\"name\":\"Biotelemetry\",\"volume\":\"4 4\",\"pages\":\"181-92\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1977-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Biotelemetry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Biotelemetry","FirstCategoryId":"1085","ListUrlMain":"","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
提出了一种分析由多个指数函数和表示的数据的方法，其中f(t) = n sigma i=1 aie - zetit的每个分量都表示为谱。对f(t)进行拉普拉斯积分，并对变量进行适当的变换，得到卷积积分，用傅里叶变换得到频谱表示。本文作了广义的理论分析，并简要介绍了几种模型数据或实验数据的数值评价结果。
A method for the analysis of the data represented by a multiple exponential function.
A method for the analysis of the data represented by the sum of multiple exponential functions is proposed in which each component of f(t) = n sigma i=1 aie -zetait is expressed as a spectrum. The convolution integral is derived by applying the Laplacian integral to f(t) with suitable transformation of the variables, and the spectrum representation is obtained by using the Fourier transformation. A generalized theoretical analysis is made and several results of numerical evaluations for model data or experimental data are briefly described.
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