Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2020. No. 9
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DOI  https://doi.org/10.30898/1684-1719.2020.9.1

UDC 621.37

 

Direct method for estimating the distance traveled by a signal along the path with frequency dispersion

A.  A. Kalshchikov, V. V. Shtykov, E. V. Shalimova

National Research University "Moscow Power Engineering Institute", 14 Krasnokazarmennaya st., Moscow, Russia, 111250

The paper is received on August 22, 2020

 

Abstract. One of the trends in the development of radio engineering in the modern world is the use of broadband signals. With an increase in the frequency bandwidth of the useful signal, the amplitude-phase distortion is more pronounced due to the frequency dispersion of the propagation medium. The paper discusses a new method for determining the path length traveled by a signal along a path with frequency dispersion based on the theory of generalized functions, function spaces and the calculus of variations. The reliability of the obtained estimate for the path length is substantiated through the Cauchy-Bunyakovsky inequality. To compare the proposed method with the estimate obtained through the signal envelope delay, an analytical expression was derived for the value of the error variance in determining the path length. It is shown that when using the proposed method, the error variance does not exceed the error variance of the indirect method and remains constant throughout the entire path.

Key words: dispersion, Cauchy-Bunyakovsky inequality, broadband signals, path length estimation.

References

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For citation:

Kalshchikov A.A., Shtykov V.V., Shalimova E.V. Direct method for estimating the distance traveled by a signal along the path with frequency dispersion. Zhurnal Radioelektroniki - Journal of Radio Electronics. 2020. No.9. https://doi.org/10.30898/1684-1719.2020.9.1 (In Russian)