Error correction for phase detection by recursive algorithm real time DFT

Error correction for phase detection by recursive algorithm real time DFT
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通过递归算法实时DFT进行相位检测误差校正

DOI:
10.1002/eej.10036
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发表时间:
2001
影响因子:
0.4
通讯作者:
Shunsuke Tanaka
Shunsuke Tanaka
中科院分区:
工程技术4区
文献类型:
--
作者:
T. Funaki;K. Matsuura;Shunsuke Tanaka

文献摘要

被引文献

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Discrete Fourier Transform (DFT) can calculate the phase and amplitude of the AC waveform directly from the sampled data. However, high performance microprocessor is inevitable to implement DFT into real time system, especially when conventional calculation algorithm is applied to high frequency sampling. Applying recursive algorithm to the DFT can drastically reduce the calculation amount. This paper studies about the phase detection error of DFT when recursive algorithm is applied. The proposed error correction method makes it possible to guarantee the correctness of detected phase, which is equivalent to the conventional DFT calculation algorithm. Also, this paper proposes the reset scheme of numerical error accumulation, which is unavoidable for the recursive algorithm applied DFT. The proposed method can guarantee high accuracy with minimum increment of calculation amount. The qualitative correctness estimated from the theoretical equations is confirmed through quantitative study by digital simulation. © 2002 Wiley Periodicals, Inc. Electr Eng Jpn, 141(1): 8–17, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/eej.10036