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Mathematical principles for setting signal processing systems and regularization

  • Proceedings of the XV All-Russian Seminar “Physics and the Application of Microwaves” (Waves 2015) Named after Prof. A.P. Sukhorukov
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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

An apparatus function (AF) is selected using the mathematical principles of settings (MPS) so that the norm of its resolving or inverse function would be minimal within limits of tolerance that are less than the AF setting error. This would allow us to obtain solutions to inverse problems with the highest possible accuracy and limiting high resolution. In MPS, the result is reversible and there is no a priori smoothness of the solution with residual error, as there is in regularization.

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Authors and Affiliations

  1. Faculty of Physics, Moscow State University, Moscow, 119991, Russia

    E. N. Terentiev

  2. HiQo Solutions, Richmond Hill, 31324, Georgia, USA

    N. E. Terentiev

Authors
  1. E. N. Terentiev
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  2. N. E. Terentiev
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Corresponding author

Correspondence to E. N. Terentiev.

Additional information

Original Russian Text © E.N. Terentiev, N.E. Terentiev, 2015, published in Izvestiya Rossiiskoi Akademii Nauk. Seriya Fizicheskaya, 2015, Vol. 79, No. 12, pp. 1633–1637.

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Terentiev, E.N., Terentiev, N.E. Mathematical principles for setting signal processing systems and regularization. Bull. Russ. Acad. Sci. Phys. 79, 1427–1431 (2015). https://doi.org/10.3103/S1062873815120229

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  • DOI: https://doi.org/10.3103/S1062873815120229

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