Bounds on Least-Squares Four-Parameter Sine-Fit Errors due to 8bit Quantization
LIANG Zhi-guo
National Key Laboratory of Science and Technology on Metrology & Calibration, Beijing Changcheng Institute of Metrology and Measurement, Beijing 100095, China
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.
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2022, Vol. 43 
