The Algorithm of Balanced Orthogonal Multiwavelets and Its Application in Denoising

• 来源期刊: 国际设备工程与管理：英文版
• 学科: 数学
• 关键词: 正交多小波 小波算法 小波去噪 平衡 Gibbs现象 应用 微弱信号 故障特征
• 年，卷（期）: 2011,（4）
• 页码范围: 221-224
• 页数: 4页
• 分类号: O174.2|O441.4
• 语种: 英文

摘要

In order to extract fault features of a weak signal from the strong noise and maintain signal smoothness, a new method of denoising based on the algorithm of balanced orthogonal multiwavelets is proposed. Multiwavelets have several scaling functions and wavelet functions, and possess excellent properties that a scalar wavelet cannot satisfy simultaneously, and match the different characteristics of signals. Moreover, the balanced orthogonal multiwavelets can avoid the Gibbs phenomena and their processes have the advantages in denoising. Therefore, the denoising based on the algorithm of balanced orthogonal multiwavelets is introduced into the signal process. The algorithm of bal- anced orthogonal multiwavelet and the implementation steps of this denoising are described. The experimental compar- ison of the denoising effect between this algorithm and the traditional multiwavelet algorithm was done. The experi- ments indieate that this method is effective and feasible to extract the fault feature submerged in heavy noise.