以基因演算法設計完美重建濾波器組

本論文提出使用CSD編碼方式設計出近似於完美重建之有限脈衝響應且具有線性相位的濾波器組。所設計的濾波器組同時考慮其重建誤差與濾波器之Equiripple特性。在論文中，以CSD編碼方式為基底的CSD GA，搜尋CSD濾波器係數，且係數在一定的非零值個數限制之下，非常適合於硬體電路實踐。三個實驗模擬結果證實所提之方法確實有效且可執行。

關鍵字

有限脈衝響應；線性相位；完美重建；濾波器組；CSD GA

並列摘要

In this thesis, a new approach for two-channel FIR linear phase filter banks with canonical signed digit and near perfect-reconstruction properties is presented. The considered problem includes both the perfect-reconstruction error and the analysis filters with equiripple. Applying the CSD GA, the coefficient of the analysis filters satisfies canonical signed digit number system. The coefficient of the analysis filters with the property of no consecutive nonzero digits is very simple to implement an FIR filter banks in hardware. Three design examples are provided for illustration and comparison. The simulation results are presented to demonstrate the effectiveness of this proposed design technique.

並列關鍵字

FIR；Linear Phase；Perfect Reconstruction；Filter Banks；CSD GA

參考文獻

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[4] L.J. Wang, and J.J. Leou, “Detection and correction of transmission errors in pyramid images,” IEEE Transactions on Circuits and System for Video Technology, vol. 8, no. 1, pp. 25-30, Feb. 1998.

[6] G.K. Wallace, “The JPEG still picture compression standard,” IEEE Transactions on Consumer Electronics, vol. 38, no. 1, pp. xviii - xxxiv, Feb. 1992.

[7] M. Liou, “Overview of the p×64 kbit/s video coding standard,” Communication of the ACM, vol. 34, no. 4, pp. 59-63, Apr. 1991.

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以基因演算法設計完美重建濾波器組

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