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On the problem of nonlinear distortions of the maximum-entropy method

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Abstract

We consider the problem of nonlinear distortions resulting from noise in the input data in the reconstruction of images from incomplete Fourier spectra using nonlinear information-theoretic methods, in particular, the maximum-entropy method. Comparison of traditional and generalized maximum-entropy methods shows that generalized methods, which operate in the space of complex functions, provide the best agreement of the solution with the data and, therefore, a minimal level of nonlinear distortions. Recommendations for processing of real nonnegative images of incoherent radio sources are given.

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Authors
  1. A. T. Baykova
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Additional information

Institute of Applied Astronomy, Russian Academy of Sciencies St. Petersburg. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 38, No. 12, pp. 1267–1277, December, 1995.

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Baykova, A.T. On the problem of nonlinear distortions of the maximum-entropy method. Radiophys Quantum Electron 38, 828–834 (1995). https://doi.org/10.1007/BF01039990

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  • DOI: https://doi.org/10.1007/BF01039990

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