8bit量化误差对正弦参数拟合影响的误差界

doi:10.3969/j.issn.1000-1158.2022.03.03

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Abstract Aiming at the influence of the quantization error on the four-parameter sinusoidal fitting error, the fitting error bounds were searched on the five parameters of effective bits, amplitude, frequency, initial phase and DC component.The selected condition variables were amplitude, the number of cycles of the waveform contained in the sequence, the initial phase, the DC component and the number of sequence data points.The error boundary search was carried out in a two-condition combination styles, and the error curves of the above five parameters were gained with each condition, including both the upper and the lower error bounds.The result can be used to estimate the error and uncertainty of the fitting parameters, or to construct the measurement conditions under the hoping fitting error and uncertainty.

Key words： metrology sine wave parameter fitting 8bit error quantization

Received: 15 June 2020 Published: 23 March 2022

PACS:

TB973

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	LIANG Zhi-guo

Cite this article:

LIANG Zhi-guo. Bounds on Least-Squares Four-Parameter Sine-Fit Errors due to 8bit Quantization[J]. Acta Metrologica Sinica, 2022, 43(3): 306-317.

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http://jlxb.china-csm.org:81/Jwk_jlxb/EN/10.3969/j.issn.1000-1158.2022.03.03 OR http://jlxb.china-csm.org:81/Jwk_jlxb/EN/Y2022/V43/I3/306

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