An Iterative Algorithm for Dual-Frequency Signals With Unknown Frequencies and Amplitudes

Siyu Liu, Guanglei Song, F. Ding
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Abstract

A new iterative parameter estimation algorithm is proposed to estimate all parameters of dual-frequency signals including the unknown amplitudes, frequencies and phases. The observation data of the signals are disturbed by stochastic noise. The key is that the signal model is a highly nonlinear function in regard to the frequencies and phases. A gradient-based iterative algorithm is presented to compare the algorithm performance. The performance of the proposed method is tested by simulation.
频率和幅值未知的双频信号的迭代算法
提出了一种新的迭代参数估计算法,用于估计双频信号的所有参数,包括未知的幅值、频率和相位。信号的观测数据受到随机噪声的干扰。关键是信号模型是一个关于频率和相位的高度非线性函数。提出了一种基于梯度的迭代算法,比较了算法的性能。通过仿真验证了该方法的有效性。
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