Design of pseudo-random discrete signals with fractional power-law angular modulation

Autor: Kostenko, P. Yu., Slobodyanuk, V. V., Shapovalov, O. V.
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Radioelectronics and Communications Systems; Vol. 64 No. 10 (2021); 548-559
Radioelectronics and Communications Systems; Том 64 № 10 (2021); 548-559
ISSN: 0735-2727
1934-8061
Popis: The design approach of pseudo-random discrete signals with fractional power-law angular modulation (FM/PM) is considered in the article. These signals as a discrete set of time values with the uniform sample spacing acquire the properties of pseudo-random sequences. The envelope and phase are defined for the constructed signals using the analytical signal concept. It is found that the time discretization of the oscillation representation by the product of two functions, using the WKB-approximation (Wentzel–Kramers–Brillouin) to solve the parametric oscillator equation, violates the condition of its frequency change slowness (physical feasibility of the solution). The appearance mechanism of pseudo-random behavior of discrete signals with the fractional power-law FM/PM is based on the properties of algebraic irrational numbers sequences. The ambiguity and autocorrelation functions of the Fourier spectra of the designed signals are investigated. The designed signals stealthiness is considered, from the point of view of their disguising as noise, based on the calculation of nonparametric BDS statistics (Brock–Dechert–Scheinkman). The BDS statistics values for different durations of the designed signals are estimated. The method to increase the designed signals stealthiness is proposed.
Databáze: OpenAIRE
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