Stable signal and image reconstruction from noisy Fourier transform phase

被引：2
作者：
Lyuboshenko, I [1 ]
Akhmetshin, A
机构：
[1] Ecole Natl Super Telecommun, Dept TSI, Paris, France
[2] Dnipropetrovsk State Univ, Fac Radiophys, Dept Informat Proc Syst, Dnipropetrovsk, Ukraine
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1999年 / 47卷 / 01期
关键词：
correlation matrix; eigenvalues and eigenvectors; ill-posed problem; phase; regularization; stability; variance;
D O I：
10.1109/78.738264
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
The problem of reconstruction of finite signals and images from the noisy Fourier transform phase is addressed. The problem is pointed out to be ill-posed with respect to distortion in the phase. Regularizing reconstruction algorithms are proposed that significantly improve estimates of signals or images reconstructed from their noisy phases.
引用
收藏
页码：244 / 250
页数：7
相关论文
共 19 条
[1]  
AKHMETSHIN AM, 1995, DEFEKTOSKOPIYA, P64
[2]  
AKHMETSHIN AM, 1996, RADIOTECH ELECT, P1229
[3]  
BACUSHINSKY AV, 1989, ILL POSED PROBLEMS N
[4]   EFFECTS OF ADDITIVE NOISE ON SIGNAL RECONSTRUCTION FROM FOURIER-TRANSFORM PHASE [J].
ESPY, CY ;
LIM, JS .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1983, 31 (04) :894-898
[5]  
Feller W., 1970, INTRO PROBABILITY TH, V1
[6]   THE RECONSTRUCTION OF A MULTIDIMENSIONAL SEQUENCE FROM THE PHASE OR MAGNITUDE OF ITS FOURIER-TRANSFORM [J].
HAYES, MH .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1982, 30 (02) :140-154
[7]   SIGNAL RECONSTRUCTION FROM PHASE OR MAGNITUDE [J].
HAYES, MH ;
LIM, JS ;
OPPENHEIM, AV .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1980, 28 (06) :672-680
[8]   STATISTICAL-ANALYSIS OF EFFECTIVE SINGULAR-VALUES IN MATRIX RANK DETERMINATION [J].
KONSTANTINIDES, K ;
YAO, K .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1988, 36 (05) :757-763
[9]  
LI YT, 1983, IEEE T ACOUST SPEECH, V31, P502, DOI 10.1109/TASSP.1983.1164069
[10]  
LYUBOSHENKO IV, 1997, DEFECTOSCOPIA, P71
12