Reconstruction of Signals from Magnitudes of Redundant Representations: The Complex Case
نویسنده
چکیده
This paper is concerned with the question of reconstructing a vector in a finitedimensional complex Hilbert space when only the magnitudes of the coefficients of the vector under a redundant linear map are known. We present new invertibility results as well as an iterative algorithm that finds the least-square solution which is robust in the presence of noise. We analyze its numerical performance by comparing it to the Cramer-Rao lower bound. AMS (MOS) Subject Classification Numbers: 15A29, 65H10, 90C26
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عنوان ژورنال:
- Foundations of Computational Mathematics
دوره 16 شماره
صفحات -
تاریخ انتشار 2016