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A modified CPF algorithm for estimating the parameters of multicomponent third-order polynomial phase signals

机译:估计多分量三阶多项式相位信号参数的改进CPF算法

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A modified CPF algorithm for estimating the parameters of multi-component third-order polynomial phase signals is proposed in this paper. The proposed algorithm requires only one-dimensional maximizations, and fast Fourier transformation is used to achieve the initial parameters values. In contrast with the algorithm for estimating mono-component PPSs by using the cubic phase function, it must solve the corresponding relation of the instantaneous frequencies at the two different time positions. Therefore, In order to obtain the correct estimation for the two highest-order parameters of each component, firstly, all possible parameters for two highest-order must be obtained. Secondly, use these parameters to dechirp the multi-component third-order PPS, and the dechirped signal is implemented with FFT. Finally, find the maximum amplitude during all converted signals by using FFT. Thus the estimated parameters corresponding to the maximum amplitude are correct, and the others are incorrect. The refined algorithm can avoid the incorrect parameter estimations of multi-component third-order PPS, and a theoretical analysis and simulations are provided to support the claim.
机译:提出了一种改进的CPF算法,用于估计多分量三阶多项式相位信号的参数。所提出的算法仅需要一维最大化,并且使用快速傅里叶变换来获得初始参数值。与使用三次相位函数估计单分量PPS的算法相比,它必须解决两个不同时间位置的瞬时频率的对应关系。因此,为了获得每个分量的两个最高阶参数的正确估计,首先,必须获得两个最高阶的所有可能参数。其次,使用这些参数对多分量三阶PPS进行去线性化处理,并通过FFT实现去毛刺信号。最后,使用FFT在所有转换后的信号中找到最大幅度。因此,与最大幅度相对应的估计参数是正确的,而其他参数是不正确的。改进后的算法可以避免对多组分三阶PPS的参数估计错误,并提供了理论分析和仿真来支持该主张。

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