This project intends to construct a parameterized function banks about the internal properties of wavelets aimed at a extensive kind of multi - wavelets and some categories of relatively specific non - separable wavelets with significant practical background , and disclose the essential characters of non - separable wavelets . through optimizing the bases of wavelets , it will build a problems oriented system of self - adaptive wavelets neural network and apply it to the relative problems of signal processing 本課題擬對比較廣泛的一類多小波及相對特殊但具有十分強烈應用背景的幾類非分離小波建立關于小波各種內在性質的參數化函數庫,并試圖揭示非分離小波的本質特征;通過最優化小波元和小波基函數,建立面向問題的自適應小波神經網絡系統,并應用于相關的信號處理問題。