{"title":"时间序列数据的傅立叶分析基础","authors":"Carl R. Tipton","doi":"10.1595/205651322x16433652085975","DOIUrl":null,"url":null,"abstract":"There are few mathematical breakthroughs that have had as dramatic impact on the scientific process as the Fourier transform. Defined in 1807 in a paper by Jean Baptiste Joseph Fourier (1) to solve a problem in heat conduction, the integral transform, Equation (i):","PeriodicalId":14807,"journal":{"name":"Johnson Matthey Technology Review","volume":"1 1","pages":""},"PeriodicalIF":1.7000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Basics of Fourier Analysis of Time Series Data\",\"authors\":\"Carl R. Tipton\",\"doi\":\"10.1595/205651322x16433652085975\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"There are few mathematical breakthroughs that have had as dramatic impact on the scientific process as the Fourier transform. Defined in 1807 in a paper by Jean Baptiste Joseph Fourier (1) to solve a problem in heat conduction, the integral transform, Equation (i):\",\"PeriodicalId\":14807,\"journal\":{\"name\":\"Johnson Matthey Technology Review\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":1.7000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Johnson Matthey Technology Review\",\"FirstCategoryId\":\"92\",\"ListUrlMain\":\"https://doi.org/10.1595/205651322x16433652085975\",\"RegionNum\":4,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, PHYSICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Johnson Matthey Technology Review","FirstCategoryId":"92","ListUrlMain":"https://doi.org/10.1595/205651322x16433652085975","RegionNum":4,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, PHYSICAL","Score":null,"Total":0}
引用次数: 0
摘要
很少有数学上的突破能像傅里叶变换那样对科学进程产生如此巨大的影响。Jean Baptiste Joseph Fourier(1)在1807年的一篇论文中定义了求解热传导问题的积分变换式(i):
There are few mathematical breakthroughs that have had as dramatic impact on the scientific process as the Fourier transform. Defined in 1807 in a paper by Jean Baptiste Joseph Fourier (1) to solve a problem in heat conduction, the integral transform, Equation (i):
期刊介绍:
Johnson Matthey Technology Review publishes articles, reviews and short reports on science enabling cleaner air, good health and efficient use of natural resources. Areas of application and fundamental science will be considered in the fields of:Advanced materials[...]Catalysis[...][...]Characterisation[...]Electrochemistry[...]Emissions control[...]Fine and speciality chemicals[...]Historical[...]Industrial processes[...]Materials and metallurgy[...]Modelling[...]PGM and specialist metallurgy[...]Pharmaceutical and medical science[...]Surface chemistry and coatings[...]Sustainable technologies.