Weak periodic signal detection with the fractional order modified Duffing-Holmes system
Journal Title: Вісник НТУУ КПІ. Серія Радіотехніка, Радіоапаратобудування - Year 2013, Vol 0, Issue 53
Abstract
Introduction. The problem of the weak periodic signal detection is very important in the modern radio engineering and communications. The new chaotic systems have been being proposed for the weak signal detection for the last 20 years. The modified Duffing-Holmes system. The modified Duffing-Holmes system detects the weak periodic signals with the minimum signal-to-noise ratio near -91dB. Such result is achieved by means of the system equation with increasing of the equation order. The fractional-order Duffing-Holmes system. The fractional-order Duffing-Holmes systems have been proposed only few years ago. These systems are mostly used in the generation of the fractional chaotic signal which may be used in the secure communications. The modified fractional-order Duffing-Holmes system. In this article the modified fractional-order Duffing-Holmes system is proposed. This system allows increasing the weak-signal sensitivity comparing to the modified Duffing-Holmes system. The proposed weak signal detection system is differed of the modified Duffing-Holmes system by using of the fractional order differential equation instead of the integer order differential equation. Conclusions. The oscillations of the modified fractional order Duffing-Holmes system strongly depend on the fractional order value. As a result the -105dB signal-to-noise ratio for of the weak periodic signals was obtained. The simulation results show that the accurate adjustment of the fractional order leads to the increasing of the detection efficiency.
Authors and Affiliations
V. Martynyuk, M. Fedula
Keywords
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- EP ID EP309031
- DOI 10.20535/RADAP.2013.53.13-22
- Views 74
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