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Algorithm for dealing with time-varying signal within sliding-window for harmonics estimation

机译：处理滑动窗口内时变信号的谐波估计算法

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摘要

In many state-of-the-art signal processing techniques, a signal within sliding-window (SW) is assumed stationary for analysing non-stationary signals. Whenever this assumption is violated, inaccuracies increase to the unacceptable levels. A narrow window-width is recommended for limiting the effect of variations within window, however, it results in poor frequency resolution and demands for increased computational resources. This study presents a simple and efficient algorithm to address amplitude-variation in a signal within SW, thus, allowing time resolution of 1-cycle and frequency resolution of 5 Hz (as per IEC Std. 61000-4-7) with improved accuracy and reliability of the fast Fourier transform of the time-varying signal. The proposed algorithm computes and applies necessary corrections to provide accurate estimates of the integer harmonics for the most recent cycle, irrespective of the number of cycles within the SW. The proposed algorithm is computationally efficient and fast, therefore, can be implemented easily either on digital signal processor or field programmable gate arrays hardware platform. The salient features of the proposed algorithm have been validated on variety of simulated and experimental signals, and have been compared with similar existing techniques in practice nowadays.
机译：在许多最新的信号处理技术中，假定滑动窗口（SW）内的信号是固定的，用于分析非平稳信号。每当违反此假设时，不准确性就会增加到无法接受的程度。建议使用窄的窗口宽度来限制窗口内变化的影响，但是，这会导致较差的频率分辨率并要求增加计算资源。这项研究提出了一种简单有效的算法来解决SW中信号的幅度变化问题，从而使1周期的时间分辨率和5 Hz的频率分辨率（根据IEC Std。61000-4-7）具有更高的精度和时变信号快速傅里叶变换的可靠性。所提出的算法将计算并应用必要的校正，以提供最近周期的整数谐波的准确估计值，而与软件内部的周期数无关。所提出的算法计算效率高且速度快，因此可以在数字信号处理器或现场可编程门阵列硬件平台上轻松实现。该算法的显着特征已经在各种模拟和实验信号上得到验证，并且已经与当今实践中的类似现有技术进行了比较。

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