{"title":"一致性信号恢复的因果重构核","authors":"V. Pohl, Fanny Yang, H. Boche","doi":"10.5281/ZENODO.42893","DOIUrl":null,"url":null,"abstract":"This paper derives causal reconstruction kernels which allow for a consistent signal recovery of the past signal component from the past signal samples only. Our approach is based on classical Hilbert space methods of signal sampling and recovery. The causal reconstruction kernels are obtained as the causal dual frame for a given sequence of sampling functions. The proposed methodology is illustrated by a numerical example.","PeriodicalId":201182,"journal":{"name":"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Causal reconstruction kernels for consistent signal recovery\",\"authors\":\"V. Pohl, Fanny Yang, H. Boche\",\"doi\":\"10.5281/ZENODO.42893\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper derives causal reconstruction kernels which allow for a consistent signal recovery of the past signal component from the past signal samples only. Our approach is based on classical Hilbert space methods of signal sampling and recovery. The causal reconstruction kernels are obtained as the causal dual frame for a given sequence of sampling functions. The proposed methodology is illustrated by a numerical example.\",\"PeriodicalId\":201182,\"journal\":{\"name\":\"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5281/ZENODO.42893\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 Proceedings of the 20th European Signal Processing Conference (EUSIPCO)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5281/ZENODO.42893","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Causal reconstruction kernels for consistent signal recovery
This paper derives causal reconstruction kernels which allow for a consistent signal recovery of the past signal component from the past signal samples only. Our approach is based on classical Hilbert space methods of signal sampling and recovery. The causal reconstruction kernels are obtained as the causal dual frame for a given sequence of sampling functions. The proposed methodology is illustrated by a numerical example.