Analysis of Truncation Error for Dual-Mixer Time-Difference Measurement System Using Discrete Fourier Transformation

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 betwe...

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Veröffentlicht in:Japanese Journal of Applied Physics 2013-03, Vol.52 (3), p.036601-036601-5
Hauptverfasser: Yanagimachi, Shinya, Hagimoto, Ken, Ikegami, Takeshi
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0021-4922
1347-4065
DOI:10.7567/JJAP.52.036601