Sine wave fitting to short records initialized with the frequency retrieved from Hanning windowed FFT spectrum

被引：20

作者：

Chen, Kui Fu ^{[1
]}

Cao, Xu ^{[1
]}

Li, Yang Feng

机构：

[1] China Agr Univ, Coll Sci, Beijing 100083, Peoples R China

来源：

MEASUREMENT | 2009年 / 42卷 / 01期

关键词：

Four-parameter sine wave; Least square error; Fast Fourier transform (FFT); Cramer-Rao bound; Analog-to-digital converter; Hanning window; FAST FOURIER-TRANSFORM; HARMONIC-ANALYSIS; ALGORITHM;

D O I：

10.1016/j.measurement.2008.04.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The initial frequency is needed to execute an iterative approach to four-parameter sine wave fitting based on the least square error. An explicit formula to obtain the initial frequency is proposed to the case of short records, which makes use of three spectrum lines around the main lobe of the fast Fourier transform (FFT) weighted by the Harming window (HW). This approach has been verified by simulation signals contaminated with different levels of noise. The noise free case shows the HW based approach is significantly more accurate than the approach based on the rectangular window (RW). However, the noise contaminated case shows the HW based approach is inferior to the RW based approach. In the same level of signal-to-noise ratio, the single-round-iteration variance with the HW based approach deviates off the Cramer-Rao bound at more cycles in record than that with the HW based. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：127 / 135

页数：9

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