Inversion of SOHO/EPHIN data using regularization techniques

Details Inversion of SOHO/EPHIN data using regularization techniques Inversion of SOHO/EPHIN data using regularization techniques

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006agufmsh51a1470w&link_type=abstract

American Geophysical Union, Fall Meeting 2006, abstract #SH51A-1470

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2194 Instruments And Techniques, 2494 Instruments And Techniques, 2794 Instruments And Techniques

Scientific paper

We analyze data from the Solar and Heliospheric Observatory (SOHO) instrument EPHIN (electron, proton, helium instrument) by full deconvolution of the measured data with the instrument response function. We show how regularization methods can be applied to energetic particle measurements to derive unambiguously the original particle spectrum - devoid of any assumptions made about its functional behaviour. This inversion thechnique still requires knowledge of the instrument response function, however, it is an improvement upon normal least-squares or maximum-likelihood fitting procedures because it does not require any a-priori knowlwdge of the underlying particle spectra. Given the instrument response function in matrix form (here derived using Monte Carlo techniques), the original Fredholm integral equations reduce to a discrete system of linear algebraic equations that can be solved by ordinary regularization methods such as singular value decomposition or the Tikhonov method. This procedure alone may laed to unphysical negative results, requiring the further constraint of non-negative count rates. We apply the SVD and Thikonov methods with and without constraints to measured data from SOHO/EPHIN. The derived results agree well with those of other methods that rely on a-priori knowledge of the spectral shape of the particle distribution function, demonstrating the power of the method for more general cases.

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