title: Closed-form algorithms for phase retrieval with an additive point signal.
abstract: The phase retrieval problem is a problem of a reconstruction of a signal from the magnitude of its Fourier transform. In this paper, we consider the problem of reconstructing an unknown one-dimensional signal from the magnitude of its Fourier transform and the magnitude of the Fourier transform of another signal that is made by the addition of a point signal at the center of the original signal. After we show that there are exactly two solution signals that satisfy the given condition, we develop a closed-form algorithm that may reconstruct the two solution signals.
authors.affiliation: Department of Information and Communication Engineering, Sejong Univeristy, #98 Kunja-dong, Kwangjin-ku, Seoul, 143-747, Korea. wskim@sejong.ac.kr
authors.forename: Wooshik
authors.initials: W
authors.lastname: Kim
authors.forename: Namhyun
authors.initials: N
authors.lastname: Kim