Journal of Electrical Engineering and Technology

  • 제7권6호
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  • Pages.1014-1022
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  • 2012
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  • 1975-0102(pISSN)
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  • 2093-7423(eISSN)
대한전기학회 (The Korean Institute of Electrical Engineers)
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Finite Wordlength Recursive Sliding-DFT for Phase Measurement

  • Kim, Byoung-Il (Dept. of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Cho, Min-Kyu (Dept. of Electrical and Electronics Engineering, Chung-Ang University) ;
  • Chang, Tae-Gyu (Dept. of Electrical and Electronics Engineering, Chung-Ang University)
  • 투고 : 2012.07.13
  • 심사 : 2012.09.26
  • 발행 : 2012.11.01
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초록

This paper proposes a modified recursive sliding DFT to measure the phase of a single-tone. The modification is to provide a self error-cancelling mechanism so that it can significantly reduce the numerical error, which is generally introduced and accumulated when a recursive algorithm is implemented in finite wordlength arithmetic. The phase measurement error is analytically derived to suggest optimized distributions of quantization bits. The analytic derivation and the robustness of the algorithm are also verified by computer simulations. It shows that the maximum phase error of less than $5{\times}10^{-2}$ radian is obtained even when the algorithm is coarsely implemented with 4-bit wordlength twiddle factors.

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참고문헌

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