Duality Principle and New Forms
of the Inverse Laplace Transform for Signal Propagation Analysis
in Inhomogeneous Media with Dispersion
A. G. Pavelyeva,† and A. A. Pavelyeva,*
a Kotelnikov Institute of Radio Engineering and Electronics, Fryazino Branch, Russian Academy of Sciences, Fryazino, Moscow oblast, 141190 Russia
Correspondence to: *e-mail: alxndr38@gmail.com
†Deceased.
Received 12 April, 2019
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.
DOI: 10.1134/S106456241906022X