A new method called the subsignals technique for estimating parameters of signals or STEPS is proposed for accurate parameter estimation of sinusoidal signals with noise and harmonics. This method is based on the fact that the parameters of a sinusoidal signal and its subsignals are either the same or related. By taking two different subsignals and using discrete Fourier transform, we were able to derive equations for the frequency, amplitude, and phase of the signal, which can be solved numerically for accurate estimation of the parameters. Simulations were conducted to compare the proposed method with the state-of-the-art methods on parameter estimation accuracy using signals with different levels of noise and harmonic distortions. Experiments were also conducted on the analysis of real electrical signals from a function generator and vibration signals of a micro electromechanical system (MEMS) device. The results show that our proposed method achieves better estimation accuracy than the current state-of-the-art methods for all three parameters of sinusoidal signals.

中文翻译：

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用于估计信号参数的子信号技术


提出了一种称为子信号技术的新方法，用于估计信号参数或 STEPS，用于精确估计具有噪声和谐波的正弦信号的参数。此方法基于以下事实：正弦信号及其子信号的参数相同或相关。通过采用两个不同的子信号并使用离散傅里叶变换，我们能够推导出信号的频率、幅度和相位方程，这些方程可以用数值求解，以便准确估计参数。进行了仿真，以将所提出的方法与使用具有不同噪声和谐波失真水平的信号的参数估计精度与最先进的方法进行比较。还对来自函数发生器的真实电信号和微机电系统 （MEMS） 设备的振动信号进行了分析实验。结果表明，我们提出的方法对正弦信号的所有三个参数的估计精度都优于目前最先进的方法。