一种改进型频域线性最小二乘算法精度分析

2019 IEEE International Instrumentation and Measurement Technology Conference (I2MTC) Pub Date : 2019-05-01 DOI:10.1109/I2MTC.2019.8827090

D. Belega, D. Petri

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引用次数: 1

摘要

本文研究了最近文献中提出的一种增强型频域线性最小二乘(e-FLLS)算法所提供的正弦波幅度和相位估计的精度。e-FLLS算法采用矩形窗口，并考虑三个离散时间傅里叶变换(DTFT)样本来补偿光谱图像分量的贡献。推导了e-FLLS振幅和相位估计器均方误差的解析表达式，并通过计算机仿真验证了其精度。此外，通过理论和仿真结果比较了e-FLLS算法、经典三参数正弦拟合(3PSF)方法和加权三参数正弦拟合(W3PSF)算法提供的幅值和相位估计的精度。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Accuracy Analysis of an Enhanced Frequency-Domain Linear Least-Squares Algorithm

This paper investigates the accuracies of the sine-wave amplitude and phase estimators provided by an enhanced Frequency-domain Linear Least-Squares (e-FLLS) algorithm recently proposed in the literature. The e-FLLS algorithm adopts the rectangular window and it considers three Discrete Time Fourier Transform (DTFT) samples to compensate the contribution of the spectral image component. Analytical expressions for the Mean Squares Errors (MSEs) of the e-FLLS amplitude and phase estimators are derived and their accuracies are verified by means of computer simulations. Moreover, the accuracies of the amplitude and phase estimators provided by the e-FLLS algorithm, the classical three-parameter sine-fit (3PSF) method, and the weighted three-parameter sine-fit (W3PSF) algorithm are compared each other through both theoretical and simulation results.

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2019 IEEE International Instrumentation and Measurement Technology Conference (I2MTC)

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