GPS Single Epoch Signal Deformation Monitoring Data Denoising Processing

This text discusses denoising methods for GPS single epoch signal deformation monitoring data. To effectively remove noise, techniques such as wavelet soft/hard threshold denoising and median filtering can be implemented. For wavelet thresholding, the algorithm typically involves decomposing signals using discrete wavelet transform (DWT), applying threshold functions (soft: shrinkage approach; hard: binary cutoff) to detail coefficients, and reconstructing the signal. Median filtering operates by sliding a window through the data and replacing each point with the median value within the window, effectively suppressing impulse noise. Furthermore, deeper analysis and research can be conducted to better understand and process this data, such as employing multiple regression analysis to investigate relationships between different parameters. These methods contribute to more precise positioning and navigation outcomes by improving signal quality, holding significant practical importance in geodetic applications.