High-definition digital control based on short-wave analysis to control the gap in production

The three-dimensional error can effectively separate signal and noise, and is the latest tool for signal analysis. Taking the ultra-precision NC machining profile as the research object, the three-dimensional error matrix is ​​obtained by the three-dimensional surface matrix and the reconstructed profile three-dimensional surface matrix. A. Using the Matlab toolbox, wavelet transform is performed on the three-dimensional error matrix. Denoising processing uses three-layer decomposition of two-dimensional signals. In the result of three-dimensional error wavelet separation, the high-frequency components are separated once and twice, and the three-dimensional error information of the main high-frequency error is obtained, and the smooth approximation components are extracted respectively. The principle of wavelet reconstruction is used to reconstruct three-dimensional error. A mathematical model of numerical control machining based on wavelet analysis establishes a process that can characterize the interpolation of CNC machine tools.

The signal processing process and the numerical control process, if the number is input, the digital signal; the CAD model or the NC file, and the output is the materialized signal component. Therefore, in this sense, the numerical control device is a signal processor whose task is to modify the signal. In the case of the 215-dimensional case, the cutting direction of the material is set to the z-direction and the axis is taken. A contour curve of the mold part can be obtained by intersecting a plane passing through the z-axis with the CAD model. A half-contour is taken at the z-axis, which can be thought of as a spatially varying signal. When the signal is processed by the interpolation manufacturing method, a series of step waveforms are obtained. Therefore, from the perspective of signal processing, the numerical control device can be regarded as a special filter. To establish a CNC, change the width of the ladder.

Interpolation Manufacturing Model Based on Wavelet Analysis If wavelet transform is applied to the interpolation manufacturing process, it is required to meet the requirements described above. For the requirements of adapting to different layer thicknesses, the multi-scale analysis function of wavelet transform has guaranteed its implementation; and for characterizing the step waveform unique to interpolation manufacturing, it is necessary to construct a suitable wavelet function. Obviously, the wavelet function should have the characteristics of the staircase wave, so its scaling function should also have the characteristics of the staircase waveform. It is natural to think of a unit square wave as a scaling function. The core of the wavelet transform idea is to decompose the signal into infinite sums of wavelets of different scales. It can be seen from the reconstructed map of the wavelet transform that the wavelet transform can accurately simulate the step edge effect unique to the numerical control, thus establishing a mathematical model that can perfectly represent the numerical control machining process.

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