Weak Signal Detection of Strong Fractional Noise Using Chaos Oscillator and Kalman Filtering
Tang Shifu · Journal of Sichuan University · 2007
Weak signal detection of strong fractional noise was proposed using Duffing oscillator and fuzzy adaptive Kalman filter.A dynamic system was formulated based on the orthonormal wavelet decomposition coefficients of fractional noise.The noisy error signal was added into Duffing chaotic oscillator,and based on the motion transition of a chaotic system,new schemes of detecting weak sinusoidal signal berried in strong fractional noise were put forward.A new statistical understanding of immunity to noise of Duffing systems was also presented.Simulation results demonstrated the effectiveness of the proposed algorithm.