为了给出一种基于Duffing系统的完整信号检测与估计方法,本文采用了耦合型间歇混沌振子,并引入了变尺度方法,以实现仅用单个Duffing振子完成对未知频率具有任意出相位的正弦信号的检测与频率估计。此外本文还提出了一种新的正弦信号幅值、相位同步估计方法,并综合方法原理和仿真实验结果证明了此方法具有估计精度高、抗噪声干扰能力强和实时性好的优点。最后用一组仿真实验结果验证了本文所提出的检测方法的有效性和估计方法的准确度。%In order to give a complete signal detection and estimation method based on Duffing system,this paper u-ses the coupling Duffing oscillator,and introduces the variable scale method,to detect and estimate the sinusoidal signal with unknown frequency and arbitrary phrase just by one Duffing oscillator.Besides,this paper puts forward a simplified method which is based on chaotic oscillator for estimating the amplitude and phase of the signal to be measured,and integrated meth-od principle and the simulation experiment result proves that this method has high estimation precision,strong ability to resist noise interference and the advantages of good real-time performance.Finally,using a simulation result of a analog signal for verifying the availability and accuracy of the detection and estimation method is proposed.
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