多子波變換中的一種新預(yù)濾波器
A NEW PREFILTER FOR MULTIWAVELET TRANSFROMS
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摘要: 預(yù)處理在一般的多子波變換中是一個(gè)不可或缺的過程,本文在分析和總結(jié)了現(xiàn)有的針對(duì)GHM多子波所構(gòu)造的預(yù)濾波器的思想后,推導(dǎo)并給出了一個(gè)針對(duì)GHM多子波設(shè)計(jì)的預(yù)濾波器,其具有2階近似和長(zhǎng)度1。同時(shí)證明了長(zhǎng)度1的重復(fù)信號(hào)預(yù)處理的近似階不可能為2或以上。
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關(guān)鍵詞:
- 多子波變換; 預(yù)濾波; 平衡
Abstract: Prefiltering is indispensable for multiwavelet transforms. This paper proposes a prefilter with the length of l and an approximate order of 2 for GHM multi-wavelet, and proves that the order of prefilters for length 1 repeating signals cannot be or greater than 2 for GHM multi-wavelet, after analyzing the constructing ideas of various currently existing prefilters for GHM multi-wavelet. -
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