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小波分析中的小波基具有不唯一性,用不同的小波基分析同一个问题会产生不同的结果。如何根据实际问题构造最优小波基一直是小波研究的热点及难点。通过总结小波基构造方法的研究现状,分析目前小波基构造方法存在的不足,在此基础上提出了一种从实际信号特征出发、与被分析信号相似度高、能广泛应用到不同类型信号分析中的小波基构造思想,为小波基的构造拓展了思路。
The wavelet bases in wavelet analysis are not unique. Analyzing the same problem with different wavelet bases will produce different results. How to construct optimal wavelet bases according to practical problems has always been a hot and difficult problem in wavelet research. By summarizing the research status of wavelet-based construction method, this paper analyzes the shortcomings of current wavelet-based construction methods. Based on this, a new method based on the actual signal characteristics is proposed, which has high similarity with the analyzed signal and can be widely applied to different types of signal analysis The idea of constructing wavelet base expands the train of thought for the construction of wavelet bases.