A Switch-Based Interpolated DFT for the Small Number of Acquired Sine Wave Cycles
A Switch-Based Interpolated DFT for the Small Number of Acquired Sine Wave Cycles
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针对少量采集正弦波周期的基于开关的插值 DFT
DOI：
10.1109/tim.2016.2514781
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发表时间：
2016-01
影响因子：
5.6
通讯作者：
Xiong Zhenhua
中科院分区：
文献类型：
--
作者：
Sun Yuxin;Zhuang Chungang;Xiong Zhenhua
由于精度高且计算负担低，实际正弦曲线的频率通常通过插值离散傅里叶变换（IpDFT）算法来估计。然而，当获取的正弦波周期（NASC）数量超过两个时，传统的 IpDFT 侧重于频率估计。使用小型 NASAC 进行频率估计适用于制造过程、雷达物位测量和其他应用。当NASC很小时，负频率（图像分量）的频谱泄漏会显着扭曲正频率，从而显着降低估计精度。特别是，当NASC小于1时，现有的IpDFT提供高估计精度是一项具有挑战性的任务。本文提出了一种基于开关的IpDFT，为NASC<；提供高频估计精度。 1. 公式化了算法在高斯白噪声下的理论方差，包括上界和下界。通过计算机仿真和实际测量来验证理论分析，并证明所提出的算法对于NASC <; 具有更好的精度和抗噪声能力。 1 比现有算法。
The frequency of a real sinusoid is often estimated by interpolated discrete Fourier transform (IpDFT) algorithms because of the high accuracy and low computational burden. However, conventional IpDFTs focus on frequency estimation when the number of acquired sine wave cycles (NASC) is more than two. Frequency estimation with the small NASC is applicable in manufacturing processes, radar level measurement, and other applications. The spectral leakage of the negative frequency (the image component) significantly distorts the positive frequency when the NASC is small, dramatically degrading estimation accuracy. In particular, it is a challenging task for existing IpDFTs to provide high estimation accuracy when the NASC is less than one. In this paper, a switch-based IpDFT is proposed to provide high frequency estimation accuracy for NASC <; 1. The theoretical variance of the algorithm in white Gaussian noise is formulated, which includes the upper bound and the lower bound. Computer simulations and real measurements are conducted to corroborate the theoretical analysis and to demonstrate that the proposed algorithm achieves better accuracy and antinoise capability for NASC <; 1 than existing algorithms.
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DOI：
10.1109/tim.2009.2014506
发表时间：
2009-05-01
影响因子：
5.6
作者：
Radil, Tomas;Ramos, Pedro M.;Serra, A. Cruz
通讯作者：
Serra, A. Cruz
影响因子：
2.5
作者：
S. Kay
通讯作者：
S. Kay
影响因子：
5.4
作者：
K. Lui;H. So
通讯作者：
K. Lui;H. So
DOI：
10.1016/j.dsp.2013.09.014
发表时间：
2014
期刊：
Digit. Signal Process.
影响因子：
--
作者：
D. Belega;D. Petri;D. Dallet
通讯作者：
D. Belega;D. Petri;D. Dallet
影响因子：
5.4
作者：
H. So;K. Chan
通讯作者：
H. So;K. Chan