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Title: | 最小相位與無乘法器之最平坦FIR濾波器設計 Novel Design of Minimum-Phase and Multiplierless Maximally-Flat FIR Filters |
Authors: | Huei-Shan Lin 林慧珊 |
Advisor: | 貝蘇章 |
Keyword: | 最平坦濾波器,高斯濾波器,無乘法器,最小相位,倒頻譜,實數倒頻譜,根動差,求根, maximally-flat filter,Gaussian filter,multiplierless,minimum-phase,cepstrum,real cepstrum,root moments,root finding, |
Publication Year : | 2005 |
Degree: | 碩士 |
Abstract: | 在第一部份,我們提出一個最平坦濾波器的架構。它的優點是架構中不包含任何的乘法器,只需要使用加法和延遲元件。之後,我們將此一維濾波器的架構延伸到二維的情況去,可以得到一個近似圓型或橢圓型的最平坦濾波器設計。並且我們還可以將這些基本型的濾波器進一步在頻域上作位移或旋轉,得到頻譜位移或頻譜旋轉的濾波器型態。
在第二部份,我們討論最小相位濾波器的設計。首先我們會複習一些同相系統(homomorphic system)的觀念;然後介紹一些以倒頻譜(cepstrum)或其他方式為基礎去設計最小相位濾波器的方式。最後,我們提出利用實數倒頻譜(real cepstrum)的設計方法,它的好處是在設計過程上的複雜度跟其它的方法比起來比較低,而且可以得到與設計雛形一樣的大小頻率響應。 In part I of this dissertation, a structure is proposed to acquire the maximally flat lowpass FIR filter. The advantage is that the multiplication elements are not included. Only the addition and delay elements are required. Afterward, the 1-dimensional multiplierless maximally flat designs are extended to the 2-dimensional cases to acquire the quasi-circular-shaped or quasi-ellipse-shaped maximally flat FIR filters. Moreover, the spectrum-shifted and spectrum-rotated versions of the basic 2-dimensional maximally flat prototypes have been designed. In part II, we deal with the minimum-phase filters design. First the concepts of the homomorphic systems and complex cepstrum are reviewed. Then several cepstrum-based or non-cepstrum-based approaches are reviewed. Finally, we propose our minimum-phase filters design based on real cepstrum. This method has many advantages over other existing approaches concerning the complexity of the design process. Moreover, it is emphasized that the resulting magnitude response is the same with the original prototype. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/35858 |
Fulltext Rights: | 有償授權 |
Appears in Collections: | 電信工程學研究所 |
Files in This Item:
File | Size | Format | |
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ntu-94-1.pdf Restricted Access | 6.61 MB | Adobe PDF |
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