1. The VLSI Design for Discrete Wavelet Transform 微電子電路系 : 宋志雲 博士

2. Haar 離散小波轉換

4. 二維三階離散小波轉換示意圖

5. 傳統濾波器離散小波轉換 濾波器的長度 (Filter Tap) 為 4 其中 h m 代表低通濾波器的係數， g m 代表高通濾波器的係數 傳統濾波器正、反轉換架構圖

6. Living-based

7. Splitting 模組 : Lifting 模組： Scaling 模組：

8. Lifting-based 離散小波反轉換

9. Lifting algorithm for the 5/3 wavelet The analysis filter can be factorized as follow ： where α= － 1/2 ， β=1/4 Architecture for multi-level decomposition

10. Lifting – Based of 5/3 Filter Architecture

11. 1-D 9/7 Wavelet Filters The analysis filter can be factorized as follow : where α,β,γ,δare the lifting coefficients,ζand 1/ζare scale normalization factors where α = -1.586134342 β = -0.05298011854 γ = 0.829110762 δ = 0.4435068522 ζ = 1.149604389

12. Lifting – Based of 9/7 Filter Architecture

13. Architecture for 2-D DWT Architecture for multi-level decomposition

14. Comparison

15. Experiment 5/3 濾波器架構中的實驗結果

16. PSNR(60.22)

17. 9/7 濾波器架構中的實驗結果

18. PSNR(89.23)