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BROADBAND HYPERSPECTRAL PHASE RETRIEVAL FROM NOISY DATA

Citation Author(s):
Vladimir Katkovnik; Igor Shevkunov; Karen Egiazarian
Submitted by:
Igor Shevkunov
Last updated:
2 November 2020 - 1:26pm
Document Type:
Presentation Slides
Document Year:
2020
Event:
Presenters:
Igor Shevkunov
Paper Code:
Paper #1308
 

Hyperspectral (HS) imaging retrieves information from data obtained across a wide spectral range of spectral channels. The object to reconstruct is a 3D cube, where two coordinates are spatial and the third one is spectral. We assume that this cube is complex-valued, i.e. characterized spatially frequency varying amplitude and phase. The observations are squared magnitudes measured as intensities summarized over the spectrum. The HS phase retrieval problem is formulated as a reconstruction of the HS complex-valued object cube from Gaussian noisy intensity observations. The derived iterative algorithm includes the original proximal spectral analysis operator and the sparsity modeling for complex-valued 3D cubes. The efficiency of the algorithm is confirmed by simulation tests.

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