Weak periodic signal detection with the fractional order modified Duffing-Holmes system
DOI:
https://doi.org/10.20535/RADAP.2013.53.13-22Keywords:
Weak Periodic Signal Detection, Chaotic System, Duffing-Holmes System, Fractional Order System, Signal-to-Noise RatioAbstract
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.References
Література:
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References:
Dai Y. The Weak Signal Detection Method and Instrument. The National Defence Industrial Publishing House, 1994, pp. 265–278.
Birx D. I. Chaotic oscillators and CMFFNS for signal detection in noise environments. IEEE Internation Joint Conference on Neural Networks, 1992, vol. 22, pp. 881–888.
Liyun S., Qian Y., Yuli Z., Jiaojun L. Noise Immunity of Duffing Oscillator and its Applications in Weak UWB Signal Detection. Journal of Networks, 2012, vol.7, No.3, pp. 540–546.
Li Y., Yang B. Chaotic system for the detection of periodic signals under the back-ground of strong noise. Chinese Science Bulletin, 2003, vol. 48, No.5, pp. 508–510.
Hu S., Yang Q.-C., Tian S. Q. Fractional Processes and Fractional-Order Signal Pro-cessing. Techniques and Applications. Springer-Verlag London Limited 2012, 295 p. – ISBN978-1-4471-2232-6.
Ushakov P. A. Metody analiza i sinteza mnogosloinykh neodnorodnykh RC-elementov s raspredelionnymi parametrami s ustroistv na ikh osnove. Dissertatsiia na soiskanie uchenoi stepeni d.t.n.,Izhevsk, 2008, 379 p.
Chien-Cheng T. Design of Fractional Order Digital FIR Differentiators. IEEE Signal Processing Letters, 2001, vol. 8, No. 3. pp. 77–79.
Guitian H., Mao-kang L. Dynamic behavior of fractional order Dung chaotic system and its synchronization via singly active control. Appl. Math. Mech. Engl. Ed., 2012, vol. 33, No. 5, pp. 567–582.
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