ON STABILITY OF RECONSTRUCTION FROM FOURIER-TRANSFORM MODULUS

被引：0
|
作者：
ZAKHOR, A
机构：
[1] Department of Electrical Engineering and Computer Sciences, University of California, Berkeley
来源：
IEEE TRANSACTIONS ON SIGNAL PROCESSING | 1993年 / 41卷 / 02期
关键词：
D O I：
10.1109/78.193237
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：
We derive the lower bound on the condition number of reconstruction of two classes of sequences from their Fourier transform magnitude (FTM). The lower bound for one class is shown to be 1, and for another class to be 1/2N(Q/2), where Q is the dimensionality of the sequence and N is the number of nonzero elements in each dimension. Stability of reconstruction from FTM and space domain phase is discussed. It is found that randomizing the space domain phase improves reconstruction robustness. Experimental results are presented to verify theoretical predictions.
引用
收藏
页码：970 / 977
页数：8
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