Analysis of Truncation Error for Dual-Mixer Time-Difference Measurement System Using Discrete Fourier Transformation
Analysis of Truncation Error for Dual-Mixer Time-Difference Measurement System Using Discrete Fourier Transformation
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DOI：
10.7567/jjap.52.036601
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发表时间：
2013-02
影响因子：
1.5
通讯作者：
S. Yanagimachi;K. Hagimoto;T. Ikegami
中科院分区：
文献类型：
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作者：
S. Yanagimachi;K. Hagimoto;T. Ikegami
对于采用离散傅里叶变换的双混频时差法，推导了确定两振子时差的截断误差公式。结果表明，当两个振子的频率差较大时，截断误差会引起严重的误差。本文给出了用离散傅里叶变换确定原子钟两振子频率差的充分高精度条件。
For the dual-mixer time-difference method using the discrete Fourier transformation, the formulation of the truncation error to determine the time difference between two oscillators is derived. It is found that serious error occurs due to the truncation error with a larger frequency difference between two oscillators. The condition of the discrete Fourier transformation to determine the frequency difference between two oscillators with sufficiently high accuracy for atomic clocks is obtained.