English

Norm minimized Scattering Data from Intensity Spectra

Information Theory 2016-07-15 v2 math.IT

Abstract

We apply the l1l_1 minimizing technique of compressive sensing (CS) to non-linear quadratic observations. For the example of coherent X-ray scattering we provide the formulae for a Kalman filter approach to quadratic CS and show how to reconstruct the scattering data from their spatial intensity distribution.

Cite

@article{arxiv.1511.02633,
  title  = {Norm minimized Scattering Data from Intensity Spectra},
  author = {A. Seel and A. Davtyan and U. Pietsch and O. Loffeld},
  journal= {arXiv preprint arXiv:1511.02633},
  year   = {2016}
}

Comments

26 pages, 10 figures, reordered sections

R2 v1 2026-06-22T11:40:22.021Z