Filtering method of improving quality of grating Moiré fringe

Hongsheng, 吴宏圣 Wu; Qi-feng, 曾琪峰 Zeng; Dong, 乔栋 Qiao; Bang-hui, 郭帮辉 Guo

doi:10.3788/ope.20111908.1944

Cited by 3 publications

(1 citation statement)

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“…Mathematically, Lissajous figure can reflect the equal amplitude, orthogonality, sinusoidality, frequency ratio and phase difference of the two-phase signal, which reflect the quality of the two signals [5][6]. In the published literature and practical applications, the grating signal Lissajous figure is the most intuitive way to express the improvement of signal quality before and after correction, compensation and filtering, its acquisition method is to simulate two-phase sine or cosine signals assuming phase difference or to connect oscilloscope measurements with hardware circuits [7][8][9], without using the mathematical relationship in theory, the acquisition of the grating signal Lissajous figure has been fully studied from the point of view of the working principle of the grating measuring system. Therefore, it is especially important to study the relationship between the parameters of the grating measurement system and the Lissajous figure equation to judge the quality of the grating signal.…”

Section: Introductionmentioning

confidence: 99%

Research and Application of Mathematical Model of Transmission Grating Signal Lissajous Figure

Lei

Wang

et al. 2018

MATEC Web Conf.

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In this paper, the working principle of the grating measurement system is combined with the Fourier analysis method of Moiré fringe to establish the mathematical model of the grating signal Lissajous figure to know the quality of the grating signal intuitively. The Mathematica numerical analysis software is used to obtain the graphics of the model, and the correctness of the relationship between the parameters of the grating measurement system and the Lissajous figure equation of the grating signal is verified. The influence of the grating pair angle α on the output voltage signal and Lissajous figure of the grating measurement system is studied. The results show that the intensity of the two-phase output electrical signal decreases gradually with the increase of the deviation of the angle α of the grating pair, but the equal-amplitude of the two-phase output electrical signal does not change; Meanwhile, the shape of the grating signal Lissajous figure gradually changes from the ideal circle to the non-ideal ellipse, until a straight line with a strip slope of 135° is formed.

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Section: Introductionmentioning

confidence: 99%

Research and Application of Mathematical Model of Transmission Grating Signal Lissajous Figure

Lei

Wang

et al. 2018

MATEC Web Conf.

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Research on Sinusoidal Error Compensation of Moiré Signal Using Particle Swarm Optimization

et al. 2020

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In this paper, the sinusoidal error compensation method based on particle swarm optimization (PSO) is researched to reduce the subdivision precision loss caused by sinusoidal error in a grating moiré signal. On the basis of the principle of arctangent subdivision of a grating moiré signal, the subdivision error caused by sinusoidal error is quantitatively analysed. In view of the sinusoidal error compensation method, the signal compensation method involves complex calculations and occupies many resources; therefore, a sinusoidal error angle compensation method is proposed. The principle of the sinusoidal error angle compensation method based on the PSO algorithm is explained in detail. Aiming at the large calculation amount of the PSO algorithm, the appropriate PSO parameters are selected experimentally, and the complexity of the PSO algorithm is minimized while ensuring the fitting accuracy. The parameters of the signal waveform equation are solved using the PSO algorithm on the field-programmable gate array (FPGA) platform. According to the parameters solved, a lookup table for sinusoidal error compensation is designed. The grating system platform is built to verify the effect of the compensation scheme on the FPGA platform. The results show that the compensation method can effectively reduce the sinusoidal error component in the signal, and the subdivision error is reduced from 0.95'' to 0.56'' in the time domain. Consequently, the zero-order, first-order, second-order and third-order components are considerably suppressed. The compensation scheme can realize the sinusoidal error compensation of the grating moiré signal and effectively improve the measurement accuracy of the grating encoder.

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