具有緊支撐對偶的雙正交插值子波系統(tǒng)正則度的優(yōu)化設(shè)計
OPTIMAL DESIGN OF THE REGULARITY OF BIORTHOGONAL INTERPOLATING WAVELET SYSTEM WITH COMPACTLY SUPPORTED DAULS
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摘要: 本文研究了對稱內(nèi)插尺度函數(shù)及其對偶的參數(shù)化表示。在此基礎(chǔ)上,提出了一般插值子波系統(tǒng)的正則度優(yōu)化設(shè)計方法和相應(yīng)的Minimax優(yōu)化算法。優(yōu)化結(jié)果表明:內(nèi)插尺度函數(shù)正則度的優(yōu)化設(shè)計明顯提高了系統(tǒng)的逼近能力;而對偶正則度的優(yōu)化設(shè)計增加了對偶的光滑性,并且分析濾波器的通帶,阻帶特性也得到了顯著的改善。
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關(guān)鍵詞:
- 插值子波; 雙正交性; 正則度; Minimax算法
Abstract: This paper studies the parameterized respresentations of symmetrical interpolating scaling functions and their duals.Based on this,the optimal design method and corresponding minimax algorithm of the regularity of a novel type of interplating wavelet systems，biorthogonal interpolating wavelet system with compact supported dauls are proposed.The optimal results show that the approximation power of the system to smooth signals is markedly improved. The regularity of the duals enhances,and the magnitude responses of the dual filters are optimized. -
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