Phase retrieval

Phase retrieval

Phase retrieval concerns the solution to the phase problem. Given a complex signal F(k), of amplitude |F(k)|, and phase phi(k):::F(k)=|F(k)|e^{i phi(k)},

phase retrieval consists in finding the phase that for a measured amplitude satisfies a set of constraints. For example if F(k) is the Fourier transform of f(x), a typical constraint would be that f(x) is a bounded real and positive function.

The most important application of phase retrieval is X-ray crystallography, awarded of several Nobel prizes.

ee also

* Phase problem
* Crystallography
* X-ray crystallography


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