ࡱ> HJG[ R$bjbj8*ΐΐ RR333GGG84G,l%& &,,,,,,,$2.0:;,E3&%@%&&;,,)))&l3,)&,)),)P2/G'p),,0,)1 (p1))11$3*h&&)&&&&&;,;,{(l&&&,&&&&1&&&&&&&&&R a: f[ /g b JT N vRobust signal recovery in compressed sensing subject to structured perturbationwith an application to direction of arrival estimation ~g'`pbR NvhS)awpenc͑^elSvQ(Wl0O-Nv^(u bJTNCishen Zhang (Professor, Swinburne University of Technology) e 2014t^1g9e NHS9:00_Y 0W pSNt]'Yf[ 10SYef[|i 205O[ bJTQ[The sparse signal recovery in the standard compressed sensing (CS) problem requires that the sensing matrix be known a priori. Such an ideal assumption may not be met in practical applications where various errors and fluctuations exist in the sensing instruments. This talk considers the problem of compressed sensing subject to a structured perturbation in the sensing matrix. Under mild conditions, it is shown that a sparse signal can be recovered by l1 minimization and the recovery error is at most proportional to the measurement noise level, which is similar to the standard CS result. In the special noise free case, the recovery is exact provided that the signal is sufficiently sparse with respect to the perturbation level. The formulated structured sensing matrix perturbation has practical relevance and is applicable to the direction of arrival estimation problem. Algorithms are proposed to implement the l1 minimization problem and numerical simulations are carried out to verify the obtained results. Biography: Cishen Zhang ( _Ham) received the B.Eng. degree in computer engineering from Tsinghua University, China, in 1982 and the Ph.D. degree in electrical engineering from Newcastle University, Australia, in 1990.He was an Electrician with Changxindian (FebruarySeven) Locomotiv  $&(  2 p r x z 쵦uuucSA"h.yqh@5CJOJQJaJo(h.yqh]=5CJOJQJaJ"h]=h]=5CJOJQJaJo(h]=5CJOJQJaJo(h]=h]=5CJOJQJaJ"h:hO5CJOJQJaJo(hG5CJOJQJaJo("h:h@5CJOJQJaJo( h]=5CJ,OJQJ^JaJ,o(&h:hn5CJ,OJQJ^JaJ,o(&h:hC5CJ,OJQJ^JaJ,o(4 r & Z -$$$$$$$$$gdkU$d[$\$a$gdh_$dXD2[$\$a$gd!:Md4gd]= dp`gd]=dpVDWD^`gd]=dpgd]= $\$a$gd.yqz      Ѝ{i{WWWHWh]=5CJOJQJaJo("h:ht5CJOJQJaJo("h:hFV5CJOJQJaJo("h:h@5CJOJQJaJo(h@5CJOJQJaJo("h.yqh.yq5CJOJQJaJo("h.yqhG5CJOJQJaJo(h.yqhG5CJOJQJaJh.yqh(G5CJOJQJaJh.yq5CJOJQJaJo(h.yqh.yq5CJOJQJaJ       $ ( * , 0 < L N R X Z ܾͬvfWE"hGhO5CJOJQJaJo(h_5CJOJQJaJo(h:h 5CJOJQJaJ"h:hO5CJOJQJaJo("h:hX5CJOJQJaJo("h:hFV5CJOJQJaJo("h:h@5CJOJQJaJo(hG5CJOJQJaJo(h.yq5CJOJQJaJo("h:h 5CJOJQJaJo("h:hdc$5CJOJQJaJo(Z d ,-078 ֚֯֯o\G1+h.yqh.yq5B*CJOJQJaJo(ph(h.yqh.yq5B*CJOJQJaJph%h]=5B*CJOJQJaJo(ph+h]=h!5B*CJOJQJaJo(ph(h]=h5B*CJOJQJaJph(hGh]=B*CJOJQJaJo(ph(h]=h]=B*CJH*OJQJaJph"h]=B*CJOJQJaJo(ph%h]=h]=B*CJOJQJaJph+h]=h 5B*CJOJQJaJo(ph  ".0VX  J!L!!! ####0$2$$$$$$$$$$$$$$$$쫘wmh6EhG5CJ hG5CJ o(h6EhG5CJ o(h3Gjh3GU%hGhGB*CJOJQJaJph.jhGh.yqB*CJOJQJUaJph"h.yqB*CJOJQJaJo(phU(h.yqh.yqB*CJOJQJaJo(ph%h.yqh.yqB*CJOJQJaJph)e Manufactory, Beijing, China, during 1970 1978, carried out research on control systems at Delft University of Technology, the Netherlands, during 1983 1985, was with the Department of Electrical and Electronic Engineering, the University of Melbourne, Australia, as a Lecturer, Senior Lecturer, and Associate Professor and Reader from 1989 to2002, and with the School of Electrical and Electronic Engineering and School of Chemical and Biomedical Engineering, Nanyang Technological University, Singapore, as an Associate Professor during 2002 2010. Since November2010, he has been the Professor and Head of Electrical and Electronic Engineering with the Faculty of Engineering and Industrial Sciences at Swinburne University of Technology, Melbourne. His research interests include control, signal processing, and medical imaging.      "kΏvsQNNYe^T Tf[SR Oo`N5uP[f[b $$$$$$$$$$$d[$\$a$gdh_gdG $$$$$$$$$$%hGhGB*CJOJQJaJphhhh_hUrhG5CJhG5CJo(hUrhG5CJo(hn 6182P:pn. 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