傅立叶测量稀疏多带小波信号的重构

2015 International Conference on Sampling Theory and Applications (SampTA) Pub Date : 2015-05-25 DOI:10.1109/SAMPTA.2015.7148854

Yang Chen, Cheng Cheng, Qiyu Sun

{"title":"傅立叶测量稀疏多带小波信号的重构","authors":"Yang Chen, Cheng Cheng, Qiyu Sun","doi":"10.1109/SAMPTA.2015.7148854","DOIUrl":null,"url":null,"abstract":"In this paper, we consider the problem of reconstructing sparse multiband wavelet signals of finite levels from their samples in Fourier domain. We show that those sparse signals are determined by their Fourier measurements on a set of size proportional to their sparsity.","PeriodicalId":311830,"journal":{"name":"2015 International Conference on Sampling Theory and Applications (SampTA)","volume":"21 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Reconstruction of sparse multiband wavelet signals from Fourier measurements\",\"authors\":\"Yang Chen, Cheng Cheng, Qiyu Sun\",\"doi\":\"10.1109/SAMPTA.2015.7148854\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we consider the problem of reconstructing sparse multiband wavelet signals of finite levels from their samples in Fourier domain. We show that those sparse signals are determined by their Fourier measurements on a set of size proportional to their sparsity.\",\"PeriodicalId\":311830,\"journal\":{\"name\":\"2015 International Conference on Sampling Theory and Applications (SampTA)\",\"volume\":\"21 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-05-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"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.2015.7148854\",\"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.2015.7148854","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

本文研究了有限阶稀疏多带小波信号在傅里叶域中的重构问题。我们表明，这些稀疏信号是由它们的傅里叶测量决定的，其大小与它们的稀疏度成正比。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Reconstruction of sparse multiband wavelet signals from Fourier measurements

In this paper, we consider the problem of reconstructing sparse multiband wavelet signals of finite levels from their samples in Fourier domain. We show that those sparse signals are determined by their Fourier measurements on a set of size proportional to their sparsity.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

2015 International Conference on Sampling Theory and Applications (SampTA)

自引率

0.00%

发文量