光纤陀螺的分形噪声仿真研究
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摘要
分形噪声是光纤陀螺的主要噪声源。为了能仿真产生光纤陀螺的分形噪声,本文通过分析分数布朗运动的功率谱密度,结合FFT变换,提出了一种直接的合成方法——傅立叶逆变换法。该方法不仅可以仿真1/f~β噪声,还可以仿真1/fb噪声,只要指定不同的谱参数β,就可以构造出相应的光纤陀螺分形噪声时间序列。仿真结果显示其运算简单高效,为光纤陀螺的优化设计、性能评价和故障诊断提供了有效的手段。
Fractal noise is the primary stochastic noise of Fiber Optic Gyroscope(FOG). For rapidly generating fractal signal in simulation, this paper start with combining Fourier Filtering technique with the power spectral density analysis of Fractional Brownian Motion(FBM). Followed, a direct synthesis method----the inverse Fourier Filtering method is proposed,that allows quick generation of not only 1/f noise but 1/f~β noise. The technique computes an inverse FFT of a data series that has a specific spectrum determined by the parameter β,whereβvary with different value for different fractal noise of FOG. The simulation result shows computation of the new method is simple and efficacious. It provides a efficacious means for improved design,performance evaluation, and failure diagnosis for FOG.
引文
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