Parameter Estimation of LFM Signals Based on Compress Transform Function in Impulsive Noise
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摘要: 针对现有线性调频(LFM)信号参数估计方法在脉冲噪声下性能退化甚至完全失效的问题，该文提出一种脉冲噪声下估计LFM信号参数的新方法。该文构造了一种新的压缩变换(CT)函数，分析了该函数在零点附近的近线性，推导了任意随机变量经该函数变换后的2阶矩有界，证明了函数变换前后LFM信号的初始频率和调频斜率信息不变。将经过函数变换后的信号进行分数阶傅里叶变换(FrFT)，根据FrFT域中峰值坐标和信号参数的关系，寻找变换域中的峰值点，实现信号参数的估计。仿真实验表明，该方法可有效抑制脉冲噪声且能准确估计出信号的参数信息，实现简单，不需要噪声的先验信息，具有良好的稳健性。Abstract: In order to solve the problem that existing parameter estimation algorithms of Linear Frequency Modulation (LFM) signals undergo performance degradation or even become invalid in impulsive noise environment, a new method for estimating LFM signal parameters in impulsive noise is proposed in this paper. The paper constructs a new Compress Transform (CT) function, analyzes the approximate linearity of the function near the zero point, derives that the second-order moments are bounded after the proposed transformation for any random variable, and proves that the initial frequency and frequency modulation slope information of an LFM signal are unchanged after the transformation. According to the relationship between the peak coordinates and the signal parameters in the FrFT domain, the peak point in the transform domain is located and the signal parameters estimates can be obtained. Simulation results show that the proposed method can effectively suppress the impulse noise and accurately estimate the parameter information of the signal. This method is simple and robust. Moreover, it does not require the prior information of the impulsive noise.
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