文献类型：期刊文章

作　　者：张旭[1] 伍家松[1,2] 杨冠羽[1,2] Lotfi Senahdji[3,2] 舒华忠[1,2]

机构地区：[1]东南大学影像科学与技术实验室 [2]中法生物医学信息研究中心 [3]LTSI,INSERM U 1099,Université de Rennes 1,Rennes 35000,France

出　　处：《Journal of Southeast University(English Edition)》

基　　金：The National Basic Research Program of China(973 program)(No.2011CB707904);the National Natural Science Foundation of China(No.61073138,61271312,61201344,81101104,60911130370);the Research Fund for the Doctoral Program of Higher Education of Ministry of Education of China(No.20110092110023,20120092120036);the Natural Science Foundation of Jiangsu Province(No.BK2012329,BK2012743)

年　　份：2013

卷　　号：29

期　　号：1

起止页码：33-37

语　　种：中文

收录情况：AJ、CAS、CSA、CSA-PROQEUST、EI(收录号：20132016340284)、IC、INSPEC、JST、MR、SCOPUS、ZMATH、普通刊

摘　　要：An algorithm for recovering the quaternion signals in both noiseless and noise contaminated scenarios by solving an L1-norm minimization problem is presented. The L1-norm minimization problem over the quaternion number field is solved by converting it to an equivalent second-order cone programming problem over the real number field, which can be readily solved by convex optimization solvers like SeDuMi. Numerical experiments are provided to illustrate the effectiveness of the proposed algorithm. In a noiseless scenario, the experimental results show that under some practically acceptable conditions, exact signal recovery can be achieved. With additive noise contamination in measurements, the experimental results show that the proposed algorithm is robust to noise. The proposed algorithm can be applied in compressed-sensing-based signal recovery in the quaternion domain.

关 键 词：quatemion  signal recovery  compressed sensing  

分 类 号：TP391]