FPGA Implementation of a Real-Time Weak Signal Detector Using a Duffing Oscillator

This paper presents an implementation of a weak signal detector using a Duffing oscillator on field programmable arrays (FPGAs) for the real-time detection of weak signals in noisy environments. The proposed implementation has combined the efficiency of weak signal detection by chaotic oscillators in noisy environments with the advantages of hardware implementation to achieve an efficient weak signal detector. To optimize the performance versus area, we have used VHDL. A novel state detector, phase trajectory autocorrelation, has been introduced for the state detection of the Duffing oscillator. As an experiment, the Duffing oscillator has been implemented on a Cyclone IV GX FPGA. In this paper, in addition to the structure and resource utilization of the design, experimental results are presented to demonstrate the effectiveness of the proposed implementation.

[1]  Florian Freistetter Fractal Dimensions as Chaos Indicators , 2001 .

[2]  Ding Liu,et al.  Weak signal detection based on chaotic oscillator , 2005, Fourtieth IAS Annual Meeting. Conference Record of the 2005 Industry Applications Conference, 2005..

[3]  Liangsheng Qu,et al.  Applications of chaotic oscillator in machinery fault diagnosis , 2007 .

[4]  Fan Zhang,et al.  Comparative Study on Weak Signal Detection Algorithms , 2010, 2010 International Conference on E-Business and E-Government.

[5]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[6]  Zhizhen Liu,et al.  Study of metal detection based on chaotic theory , 2010, 2010 8th World Congress on Intelligent Control and Automation.

[7]  Chongsheng Li Study of Weak Signal Detection Based on Second FFT and Chaotic Oscillator , 2005 .

[8]  Wenwu Liu,et al.  Application of chaos in sonar detection , 2011, 2011 Second International Conference on Mechanic Automation and Control Engineering.

[9]  Yaowu Shi,et al.  The methods of digital communication system chaotic encryption using the Duffing oscillator , 2004, Proceedings 7th International Conference on Signal Processing, 2004. Proceedings. ICSP '04. 2004..

[10]  Yiming Pi,et al.  Weak GPS Signal Acquisition Algorithm Based on Chaotic Oscillator , 2009, EURASIP J. Adv. Signal Process..

[11]  Mustapha Djeddou,et al.  An FPGA Real-time Implementation of the Chen's Chaotic System for Securing Chaotic Communications , 2009 .

[12]  Sailing He,et al.  A quantitative study on detection and estimation of weak signals by using chaotic Duffing oscillators , 2003 .

[13]  Yue Li,et al.  Study on EEG Time Series Based on Duffing Equation , 2008, 2008 International Conference on BioMedical Engineering and Informatics.

[14]  Junguo Wang,et al.  Weak signal detection method based on Duffing oscillator , 2009, Kybernetes.

[15]  Erhan Akin,et al.  TOOLS FOR DETECTING CHAOS , 2005 .

[16]  Xing Chen,et al.  The application of chaotic oscillators to weak signal detection , 1999, IEEE Trans. Ind. Electron..

[17]  Abbas Dandache,et al.  Real time hardware implementation of a new Duffing's chaotic attractor , 2009, 2009 16th IEEE International Conference on Electronics, Circuits and Systems - (ICECS 2009).

[18]  Jin Tian,et al.  Weak GPS signal detect algorithm based on Duffing chaos system , 2010, IEEE 10th INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS.

[19]  Satish Chandra,et al.  A tutorial and diagnostic tool for chaotic oscillators and time series , 1997, Comput. Graph..

[20]  J. Sprott Chaos and time-series analysis , 2001 .

[21]  Chin-Tser Huang,et al.  Signal Processing Applications in Network Intrusion Detection Systems , 2009, EURASIP Journal on Advances in Signal Processing.