Using non-quadratic regularization for separation of rays in quasi stationary radio channel

M.S. Penzin; N.V. Il'in

Using non-quadratic regularization for separation of rays in quasi stationary radio channel

M.S. Penzin¹, N.V. Il'in²

research article Pages: 38-43

¹ Junior Research Scientist, Institute of Solar-Terrestrial Physics SB RAS
² Ph.D. (Phys.-Math.), Leading Research Scientist, Institute of Solar-Terrestrial Physics SB RAS

Keywords: separation of rays propagation of radio signal Doppler effect non-quadratic regularization ionosphere

Abstract

We consider the approach that allows to separate rays in the quasi-stationary radio channel in shortwave bands. The considered approach can be used when the Doppler filtration, angles of arrival, polarization, and delays cannot separate rays. The received signal is a result of interference of several rays. In this case the problem of ray separation is non-correct and allows the set of solutions.

The non-quadratic regularization using to non-correct problems is considered in this paper. Using the non-quadratic regularization allow us to obtain higher resolution than spectrum methods.

How to cite

Пензин М.С., Ильин Н.В. Использование неквадратичной регуляризации для разделения лучей в квазистационарном радиоканале // Успехи современной радиоэлектроники. 2014. № 8. С. 38–43.

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[1] Jolliffe I.T. Principal Component Analysis // New York: Springer. 2002. Р. 487.

[2] Hyvarinen A., Oja E. Independent Component Analysis: Algorithms and Applications // Neural Networks. 2000. V. 13. P. 411-430.

[3] Hayes M.H. Signal Processing and Modeling // New York: John Wiley & Sons. 1996. Р. 621.

[4] Cetin M., Malioutov D.M., Willsky A.S. A variational technique for source localization based on a sparse signal reconstruction perspective // Proc. IEEE International Conference of Acoustic. Speech. and Signal Processing. 2002. V. 3. P. 2965-2968.

[5] Tihonov A.N. Ob ustojchivosti obratnyh zadach // Doklady Akademii nauk SSSR. 1943. T. 39, № 5. S. 195-198.

[6] Chen S.S., Donoho D.L., Saunders M.A. Atomic decomposition by basis pursuit // SIAM J. Scientific Computing. 1998. V. 20, № 1. P. 33-61.

[7] Fu W.J. Penalized regressions: the bridge versus the LASSO // Journal of Computational and Graphical Statistics. 1998. V. 7, № 3. P. 397-416.

[8] Vogel C.R., Oman M.E. Fast, robust total variation-based reconstruction of noisy, blurred images // IEEE Trans. Image Processing. 1998. V. 7. № 6. P. 813-824.

Abstract

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