Phase retrieval in infinite-dimensional Hilbert spaces

  • Cahill J
  • Casazza P
  • Daubechies I
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Abstract

The main result of this paper states that phase retrieval in infinite-dimensional Hilbert spaces is never uniformly stable, in sharp contrast to the finite-dimensional setting in which phase retrieval is always stable. This leads us to derive stability results for signals depending on how well they are approximated by finite expansions.

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APA

Cahill, J., Casazza, P., & Daubechies, I. (2016). Phase retrieval in infinite-dimensional Hilbert spaces. Transactions of the American Mathematical Society, Series B, 3(3), 63–76. https://doi.org/10.1090/btran/12

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