The duality principle and new forms of the inverse Laplace transform for the analysis of signal propagation in inhomogeneous media with dispersion

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Abstract

New equations for Laplace transform inversion are obtained. The equations satisfy the causality principle. The impulse response of a channel is determined in order to analyze dispersion distortions in inhomogeneous media. The impulse response excludes the possibility that the signal exceeds the speed of light in the medium. The transmission bandwidth, the angular spectrum, and the Doppler shift in the ionosphere are computed.

About the authors

A. G. Pavelyev

Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences

Email: alxndr38@gmail.com
Russian Federation, 11/7, Mokhovaya street, Moscow, 125009

A. A. Pavelyev

Kotelnikov Institute of Radio Engineering and Electronics of the Russian Academy of Sciences

Author for correspondence.
Email: alxndr38@gmail.com
Russian Federation, 11/7, Mokhovaya street, Moscow, 125009

References

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