729 research outputs found
Solar hard X-ray imaging by means of Compressed Sensing and Finite Isotropic Wavelet Transform
This paper shows that compressed sensing realized by means of regularized
deconvolution and the Finite Isotropic Wavelet Transform is effective and
reliable in hard X-ray solar imaging.
The method utilizes the Finite Isotropic Wavelet Transform with Meyer
function as the mother wavelet. Further, compressed sensing is realized by
optimizing a sparsity-promoting regularized objective function by means of the
Fast Iterative Shrinkage-Thresholding Algorithm. Eventually, the regularization
parameter is selected by means of the Miller criterion.
The method is applied against both synthetic data mimicking the
Spectrometer/Telescope Imaging X-rays (STIX) measurements and experimental
observations provided by the Reuven Ramaty High Energy Solar Spectroscopic
Imager (RHESSI). The performances of the method are compared with the results
provided by standard visibility-based reconstruction methods.
The results show that the application of the sparsity constraint and the use
of a continuous, isotropic framework for the wavelet transform provide a
notable spatial accuracy and significantly reduce the ringing effects due to
the instrument point spread functions
Generalized quantum measurements. Part I: Information properties of soft quantum measurements
A special class of soft quantum measurements as a physical model of the fuzzy
measurements widely used in physics is introduced and its information
properties are studied in detail.Comment: 25 pages, 3 figures, 25 ref
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