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20 September 2007 Fast algorithms for signal reconstruction without phase
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Abstract
We derive fast algorithms for doing signal reconstruction without phase. This type of problem is important in signal processing, especially speech recognition technology, and has relevance for state tomography in quantum theory. We show that a generic frame gives reconstruction from the absolute value of the frame coefficients in polynomial time. An improved efficiency of reconstruction is obtained with a family of sparse frames or frames associated with complex projective 2-designs.
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Radu Balan, Bernhard G. Bodmann, Peter G. Casazza, and Dan Edidin "Fast algorithms for signal reconstruction without phase", Proc. SPIE 6701, Wavelets XII, 67011L (20 September 2007); https://doi.org/10.1117/12.731117
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