Compressive Shift Retrieval
نویسندگان
چکیده
منابع مشابه
Compressive Phase Retrieval
Recovering a full description of a wave from limited intensity measurements remains a central problem in optics. Optical waves oscillate too fast for detectors to measure anything but time–averaged intensities. This is unfortunate since the phase can reveal important information about the object. When the light is partially coherent, a complete description of the phase requires knowledge about ...
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Any object on earth has two fundamental properties: it is finite, and it is made of atoms. Structural information about an object can be obtained from diffraction amplitude measurements that account for either one of these traits. Nyquist-sampling of the Fourier amplitudes is sufficient to image single particles of finite size at any resolution. Atomic resolution data is routinely used to image...
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Phase retrieval has been a longstanding problem in optics and x-ray crystallography since the 1970s [3, 2]. Early methods to recover the phase signal using Fourier transform mostly relied on additional information about the signal, such as band limitation, nonzero support, real-valuedness, and nonnegativity. Common drawbacks of these iterative methods are that they may not converge to the globa...
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The problem of reconstructing a sparse signal vector from magnitude-only measurements (a.k.a., compressive phase retrieval), emerges naturally in diverse applications, but it is NP-hard in general. Building on recent advances in nonconvex optimization, this paper puts forth a new algorithm that is termed compressive reweighted amplitude flow and abbreviated as CRAF, for compressive phase retrie...
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Compressive phase retrieval is the problem of recovering a structured vector x ∈ C from its phaseless linear measurements. A compression algorithm aims to represent structured signals with as few bits as possible. As a result of extensive research devoted to compression algorithms, in many signal classes, compression algorithms are capable of employing sophisticated structures in signals and co...
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ژورنال
عنوان ژورنال: IEEE Transactions on Signal Processing
سال: 2014
ISSN: 1053-587X,1941-0476
DOI: 10.1109/tsp.2014.2332974