Generalized High-Order Phase Function for Parameter Estimation of Polynomial Phase Signal
Generalized High-Order Phase Function for Parameter Estimation of Polynomial Phase Signal
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DOI：
10.1109/tsp.2007.916144
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发表时间：
2008-07
影响因子：
5.4
通讯作者：
Pu Wang;I. Djurović;Jianyu Yang
中科院分区：
文献类型：
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作者：
Pu Wang;I. Djurović;Jianyu Yang
高阶相位函数（HPF）是近年来提出的一种估计多项式相位信号（PPS）参数的方法。在这封信中，我们推广了标准的HPF通过引入多个时刻。因此，标准HPF可以被视为具有相同时刻的广义HPF的特例。我们提出了一个程序，寻找时刻最小化均方误差（MSE）。该方法比高阶模糊函数和多项式Wigner-Ville分布具有更好的性能。理论分析和Monte Carlo仿真验证了PPS具有较低的均方误差和信噪比门限等优点。
The high-order phase function (HPF) has been introduced recently to estimate the parameters of a polynomial phase signal (PPS). In this correspondence, we generalize the standard HPF by introducing multiple time instants. Thus, the standard HPF can be treated as a special example of the generalized HPF with identical time instants. We propose a procedure for finding time instants minimizing the mean-square error (MSE). The proposed method achieves better performances than the high-order ambiguity function (HAF) and polynomial Wigner-Ville distribution (PWVD). The theoretical analysis as well as the Monte Carlo simulations verify the advantages such as lower MSE and lower SNR threshold for the PPS.