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(qiáng)烈應(yīng)用背景的幾類非分離小波建立關(guān)于小波各種內(nèi)在性質(zhì)的參數(shù)化函數(shù)庫,并試圖揭示非分離小波的本質(zhì)特征;通過最優(yōu)化小波元和小波基函數(shù),建立面向問題的自適應(yīng)小波神經(jīng)網(wǎng)絡(luò)系統(tǒng),并應(yīng)用于相關(guān)的信號處理問題。