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- Article name
- USING THE TRACTRIX AS A BASIS FOR VECTOR ANALYSIS OF LOBACHEVSKY PULSES
- Authors
- Bylinkin A. A., , andrbylinkin@mail.ru, NPO "Secure information technologies promotion foundation", Moscow, Russia
- Keywords
- Lobachevsky function and pulses / hyperbolic functions / vector analysis / tractrix / pseudosphere
- Year
- 2025 Issue 2 Pages 3 - 9
- Code EDN
- WCDDSF
- Code DOI
- 10.52190/1729-6552_2025_2_3
- Abstract
- The article considers the possibility of using parametric equations of the tractrix as a basis for vector analysis of Lobachevsky pulses. It is shown that the procedure of vector analysis of Lobachevsky pulses allows to pass to the description of signals through volumetric figures similar to the pseudosphere. By the method of mathematical modeling it is established that by vector diagrams of Lobachevsky pulses there is a possibility to estimate the phase difference of carrier and reference signals, as well as the time delay of data packet reception. Proposals for the development of communication systems, methods of reception and processing of pulse signals are formulated.
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