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- Article name
- MATHEMATICAL MODELING OF A CLASS OF PSEUDONOISE SIGNALS BASED ON THE LOBACHEVSKY FUNCTION
- Authors
- Bylinkin A. A., , andrbylinkin@mail.ru, NPO "Secure information technologies promotion foundation", Moscow, Russia
- Keywords
- Lobachevsky function and pulses / Gaussian distribution / Cauchy distribution / Champernowne distribution / pseudonoise signal / autocorrelation function
- Year
- 2025 Issue 4 Pages 3 - 9
- Code EDN
- LXQBMW
- Code DOI
- 10.52190/1729-6552_2025_4_3
- Abstract
- The article discusses the formation and analysis of statistical characteristics of a new class of pseudonoise signals based on the Lobachevsky function. The relationship between known probability distributions (Gaussian, Cauchy, Champernowne) and the Lobachevsky function is noted. In the Matlab environment, a pseudonoise signal is formed based on the logarithm of the tangent of the angle of parallelism with a specified multiplier (the order of Lobachevsky pulses). The autocorrelation functions for individual time realizations of pseudonoise signals are constructed.
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