I. Stanković, M. Brajović, M. Daković, L. Stanković
{"title":"Analysis of noise in complex-valued binary and bipolar sigmoid compressive sensing","authors":"I. Stanković, M. Brajović, M. Daković, L. Stanković","doi":"10.5937/TELFOR1901035S","DOIUrl":null,"url":null,"abstract":"Binary compressive sensing (CS) is a relatively new idea in the theory of sparse signal reconstruction. Under this framework, the signal is reconstructed based on the sign of the available measurements. This paper analyzes basic one-bit CS concepts for the case of complex valued random Gaussian measurement matrices. The reconstruction is compared with the B-bit quantized measurements. The concept of binary CS-based reconstruction is generalized by applying a sigmoid function to the measurements. Noise influence is also considered. The reconstruction is performed using a simple iterative thresholding algorithm.","PeriodicalId":37719,"journal":{"name":"Telfor Journal","volume":"1 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Telfor Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5937/TELFOR1901035S","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 2
Abstract
Binary compressive sensing (CS) is a relatively new idea in the theory of sparse signal reconstruction. Under this framework, the signal is reconstructed based on the sign of the available measurements. This paper analyzes basic one-bit CS concepts for the case of complex valued random Gaussian measurement matrices. The reconstruction is compared with the B-bit quantized measurements. The concept of binary CS-based reconstruction is generalized by applying a sigmoid function to the measurements. Noise influence is also considered. The reconstruction is performed using a simple iterative thresholding algorithm.
期刊介绍:
The TELFOR Journal is an open access international scientific journal publishing improved and extended versions of the selected best papers initially reported at the annual TELFOR Conference (www.telfor.rs), papers invited by the Editorial Board, and papers submitted by authors themselves for publishing. All papers are subject to reviewing. The TELFOR Journal is published in the English language, with both electronic and printed versions. Being an IEEE co-supported publication, it will follow all the IEEE rules and procedures. The TELFOR Journal covers all the essential branches of modern telecommunications and information technology: Telecommunications Policy and Services, Telecommunications Networks, Radio Communications, Communications Systems, Signal Processing, Optical Communications, Applied Electromagnetics, Applied Electronics, Multimedia, Software Tools and Applications, as well as other fields related to ICT. This large spectrum of topics accounts for the rapid convergence through telecommunications of the underlying technologies towards the information and knowledge society. The Journal provides a medium for exchanging research results and technological achievements accomplished by the scientific community from academia and industry.