{"title":"Applications of finite dimensional sampling theories","authors":"E. Terentiev, I. Prikhodko, I. I. Farshakova","doi":"10.1063/1.5140119","DOIUrl":null,"url":null,"abstract":"When modeling physical processes, phenomena in radio-physics, optics, we propose to use Finite-Dimensional Sampling Theories (FDST) instead of the Wiener-Kotelnikov theorem and methods based on difference schemes, integral sums. Accurate FDST operations are compatible with convolution, analytical calculations, estimation of multiple integrals and are the basis for creating new devices with Signal Processing Systems (SPS) in various fields.","PeriodicalId":182421,"journal":{"name":"SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019","volume":"39 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"SECOND INTERNATIONAL CONFERENCE ON MATERIAL SCIENCE, SMART STRUCTURES AND APPLICATIONS: ICMSS-2019","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5140119","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
When modeling physical processes, phenomena in radio-physics, optics, we propose to use Finite-Dimensional Sampling Theories (FDST) instead of the Wiener-Kotelnikov theorem and methods based on difference schemes, integral sums. Accurate FDST operations are compatible with convolution, analytical calculations, estimation of multiple integrals and are the basis for creating new devices with Signal Processing Systems (SPS) in various fields.