Lifting transform via Savitsky-Golay filter predictor and application of denoising

• 来源期刊: 煤炭学报（英文版）
• 年，卷（期）: 2006,（2）
• 页码范围: 66-69
• 页数: 4页
• 语种: 英文

摘要

The Savitsky-Golay filter is a smoothing filter based on polynomial regression. It employs the regression fitting capacity to improve the smoothing results. But Savitsky-Golay filter uses a fix sized window. It has the same shortage of Window Fourier Transform. Wavelet mutiresolution analysis may deal with this problem. In this paper, taking advantage of Savitsky-Golay filter's fitting ability and the wavelet transform's multiscale analysis ability, we developed a new lifting transform via Savitsky-Golay smoothing filter as the lifting predictor, and then processed the signals comparing with the ordinary Savitsky-Golay smoothing method. We useed the new lifting in noisy heavy sine denoising. The new transform obviously has better denoise ability than ordinary Savitsky-Golay smoothing method. At the same time singular points are perfectly retained in the denoised signal.Singularity analysis, multiscale interpolation, estimation, chemical data smoothing and other potential signal processing utility of this new lifting transform are in prospect.