Study On Weak Signal Extraction Technology Using Stochastic Resonance

Combined with the projects of National Basic Research Program of China " Identification and extraction technology research on weak shock signal "(No.51175466), this paper studies extraction method of adaptive signal based on the principle of stochastic resonance.In chapter one, the background and significance of the research was expatiated. Described the detection theory and its application of commonly used weak signals, explored the methods detection of weak signal based on stochastic resonance, finally gave the chapters arrangements and main content.Chapter two described the theoretical model of stochastic resonance, including Langevin equation under the condition of adiabatic approximation and Fokker Planck equation, studies numerical algorithm model to analyze several commonly used measure indicators.Chapter three presented a weak periodic signal extraction method based on stochastic resonance,used variable step stochastic resonance algorithm to eliminate the limitations of Low-frequency signals because of stochastic resonance, analyzed the noise reduction and shaping of stochastic resonance cascade system,taken zero spacing variance as the measure indicators, established weak periodic signal extraction system based on variable step cascade stochastic resonance, identified the type of signal by comparing the output signals, and finally Verified the validity of the method with simulation.Chapter four built a Weak signal extraction system based on monostable stochastic resonance, analysis theoretical model of monostable stochastic resonance, established signal characteristics coefficient as the system measure indicators, proposed adaptive monostable stochastic resonance extraction system to detect and identify the impact signal, and finally the simulation results verify the effectiveness of its detection.In chapter five, a GUI module of adaptive weak resonance stochastic signal extraction system was developed with MATLAB.chapter six reviewed the full text, summarized the main contents of this paper and discussed further research to do.