Research on detection method of multi-frequency weak signal based on stochastic resonance and chaos characteristics of Duffing system |
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| Institution: | 1. Departamento de Ciencias Exactas y Tecnología, Centro Universitario de los Lagos, Universidad de Guadalajara, Enrique Díaz de León 1144, Colonia Paseos de la Montaña, Lagos de Moreno, Jalisco, Mexico;2. Centro de Tecnología Biomédica, Universidad Politécnica de Madrid, Campus de Montegancedo, Pozuelo de Alarcón, Madrid 28223, Spain;3. Innopolis University, Universitetskaya Str. 1, Innopolis 420500, Republic of Tatarstan, Russia;1. School of Science, Tianjin Polytechnic University, Tianjin 300378, China;2. Henan Costar Group Co., Ltd, Henan 473000, China;1. College of Information Engineering, Nanjing University of Finance and Economics, Nanjing 210023, China;2. School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo 315211, Zhejiang, China;3. College of Modern Posts, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;4. Department of Electrical Engineering and Information Systems, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113–8656, Japan |
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| Abstract: | Weak signal detection has been widely used in many fields such as military and national economy. Aiming at the problem that the traditional stochastic resonance (SR) method can’t obtain the signal amplitude when detecting weak signals, the frequency and amplitude of the weak signal are obtained by combining the SR and chaos characteristics of the two-dimensional Duffing system. Firstly, the effects of two-dimensional Duffing system parameters a, b, k, noise intensity D on the Kramers rate and signal-to-noise ratio (SNR) are analyzed under the Gaussian white noise environment. The results show that the damping ratio K can hinder the SR effect of the system to some extent. Secondly, to solve the misjudgment of the state method of the weak signal amplitude in the detection, the Lyapunov exponent is used to assure the threshold's range, and the threshold of the chaotic critical state is found. Finally, the paper gives the processes of frequency and amplitude detection of multiple high-frequency signals, which realizes the effective detection of the frequency and amplitude of multiple high-frequency signals in a Gaussian white noise environment, and successfully applies the method to the accurate detection of boundary voltage amplitude in electrical impedance tomography. |
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