An improved cordic for digital subdivision of Moiré signal

• Autorzy: Zhu Weibin , Ye Shengjin , Huang Yao , Xue Zi

Identyfikatory

DOI

10.24425/mms.2020.131723

• Języki publikacji: EN

Abstrakty

EN

The contradiction between the restriction of grating manufacturing technology and high-resolution measurement requirements has been the focus of attention. The precision requirement of angle calculation during the digital subdivision processing of a Moiré signal is focused on, the causes of errors in the solution of arcsine function are analysed, and an improved coordinate rotation digital computer (CORDIC) with double-rotation iteration is proposed by discussing the principle of the conventional CORDIC in detail herein. Because the iterative number and data width of the improved CORDIC are limited by the finite digital circuit resources and thus determine the calculation accuracy directly, subsequently the overall quantization error (OQE) of the improved CORDIC is analysed. The approximate error and rounding error of the algorithm are deduced, and the error models of iterative number and data width are established. The validity and application value of the improved CORDIC are proved through simulations and experiments involving a subdividing circuit. The corresponding relation between the approximate error, rounding error and iteration number, as well as the bit width are proved by quantization. The error of subdivision with the improved CORDIC, obtained through a calibration experiment, is within ±0.5′′ and the mean variance is 0.2′′. The results of the research can be applied directly to a digital subdivision system to guide the parameter setting in the iterative process, which is of crucial importance in the quantitative analysis of error separation and error synthesis.

Słowa kluczowe

EN

grating; digital subdivision; coordinate rotation digital computer; double-rotation; overall quantization error

• Wydawca: Komitet Metrologii i Aparatury Naukowej PAN
• Czasopismo: Metrology and Measurement Systems
• Rocznik: 2020
• Tom: Vol. 27, nr 1
• Strony: 51--64
• Opis fizyczny: Bibliogr. 22 poz., rys., tab., wykr., wzory

Twórcy

autor

Zhu Weibin

• China Jiliang University, School of Measurement and Testing Engineering, Hangzhou, 310018, China

autor

Ye Shengjin

• China Jiliang University, School of Measurement and Testing Engineering, Hangzhou, 310018, China

autor

Huang Yao

• National Institute of Metrology, Beijing, 100029, China

autor

Xue Zi

• National Institute of Metrology, Beijing, 100029, China

Bibliografia

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• [18] Hu, Y.H. (1992). The quantization effects of the CORDIC algorithm. IEEE Transations on Signal Proc., 40(4), 834-844.
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Uwagi

EN

1. This research was financially supported by the project of the National Key R&D Program of China (2017YFF0204901), the research project of General Administration of Quality Supervision, Inspection and Quarantine of PRC (2016QK189).

PL

2. Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).