{"title":"二维时变信号的动态采样","authors":"R. Aceska, Armenak Petrosyan, Sui Tang","doi":"10.1109/SAMPTA.2015.7148929","DOIUrl":null,"url":null,"abstract":"The problem of recovering an evolving signal from a set of samples taken at different time instances, has been well-studied for one-variable signals on both discrete and continuous domains [4]-[8]. Most sampling problems in applications involve spatial coordinates, that is, the observed time-variant signals are described by at least two spatial variables. We state the problem of spatio-temporal sampling for two-variable data and provide specific reconstruction results in the ℓ2(Z × Z) case.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"47 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Dynamical sampling of two-dimensional temporally-varying signals\",\"authors\":\"R. Aceska, Armenak Petrosyan, Sui Tang\",\"doi\":\"10.1109/SAMPTA.2015.7148929\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The problem of recovering an evolving signal from a set of samples taken at different time instances, has been well-studied for one-variable signals on both discrete and continuous domains [4]-[8]. Most sampling problems in applications involve spatial coordinates, that is, the observed time-variant signals are described by at least two spatial variables. We state the problem of spatio-temporal sampling for two-variable data and provide specific reconstruction results in the ℓ2(Z × Z) case.\",\"PeriodicalId\":311830,\"journal\":{\"name\":\"2015 International Conference on Sampling Theory and Applications (SampTA)\",\"volume\":\"47 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 International Conference on Sampling Theory and Applications (SampTA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/SAMPTA.2015.7148929\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 International Conference on Sampling Theory and Applications (SampTA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SAMPTA.2015.7148929","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Dynamical sampling of two-dimensional temporally-varying signals
The problem of recovering an evolving signal from a set of samples taken at different time instances, has been well-studied for one-variable signals on both discrete and continuous domains [4]-[8]. Most sampling problems in applications involve spatial coordinates, that is, the observed time-variant signals are described by at least two spatial variables. We state the problem of spatio-temporal sampling for two-variable data and provide specific reconstruction results in the ℓ2(Z × Z) case.
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