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Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices

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Ehler M., Gräf M., Király F. J.

Waves, Wavelets and Fractals

2015

tom 1

nr 1

As a generalization of the standard phase retrieval problem,we seek to reconstruct symmetric rank- 1 matrices from inner products with subclasses of positive semidefinite matrices. For such subclasses, we introduce random cubatures for spaces of multivariate polynomials based on moment conditions. The inner products with samples from sufficiently strong random cubatures allow the reconstruction of symmetric rank- 1 matrices with a decent probability by solving the feasibility problem of a semidefinite program.

Ograniczanie wyników

1 Waves, Wavelets and Fractals

1 Ehler M.

1 Gräf M.

1 Király F. J.

1 2015

Wyniki wyszukiwania

Phase retrieval using random cubatures and fusion frames of positive semidefinite matrices