Reconstruction of signals from magnitudes of redundant representations: the complex case (Q300888)
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scientific article; zbMATH DE number 6599346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Reconstruction of signals from magnitudes of redundant representations: the complex case |
scientific article; zbMATH DE number 6599346 |
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Reconstruction of signals from magnitudes of redundant representations: the complex case (English)
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29 June 2016
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Novel necessary conditions for complex-valued signal reconstruction from magnitudes of frame coefficients are presented. Deterministic stability bounds (Lipschitz constants) and stochastic performance bounds (Cramer-Rao lower bound) are presented. The entire analysis is done canonically that is independent of a particular choice of basis. Then an optimization algorithm based on the least-square error is proposed and analyzed. The algorithm performance is compared to the theoretical lower bound given by the Cramer-Rao inequality.
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frame
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phase retrieval
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Cramer-Rao lower bound
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phaseless reconstruction
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signal reconstruction
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stability bounds
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stochastic performance bounds
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optimization algorithm
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