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可調式數位濾波器之設計 = Design of Variable Dig...

國立高雄大學電機工程學系碩士班

可調式數位濾波器之設計 = Design of Variable Digital Filters

紀錄類型:	書目-語言資料,印刷品 : 單行本
並列題名:	Design of Variable Digital Filters
作者:	黃韻達,
其他團體作者:	國立高雄大學
出版地:	[高雄市]
出版者:	撰者;
出版年:	2008[民97]
面頁冊數:	100面圖，表 : 30公分;
標題:	分數階延遲可調式FIR 濾波器
標題:	Variable Fractional-Delay FIR Filter
附註:	指導教授：徐忠枝
附註:	參考書目：面79-84
摘要註:	在本篇論文中，我們將對可調式數位濾波器之設計做深入的研究。此研究因為它在通訊及影像處理上有著廣泛的應用，在近十年來相當受到重視。它擁有可調參數，使得濾波器得以立即線上的改變頻率響應，而不需重新設計一個新的濾波器。依可調的頻率響應，我們可將設計的濾波器分為延遲響應可調波器及振幅響應可調濾波器二大類。首先在延遲響應可調濾波器方面，我們提出係數關係的方法來設計分數階延遲可調式(Variable Fractional-Delay) FIR濾波器，將此方法與最新的方法比較，我們的設計降低了將近一半的設計係數並且在高階的濾波器下，有更高的精準度。此外，我們也介紹了另一個以IIR 濾波器設計分數階延遲可調式濾波器的方法。接著在振幅響應可調濾波器方面，我們提出了二項式級數展開(Binomial Series Expansion)及泰勒級數展開(Taylor Series Expansion)兩種方法，來實現分數階可調式微分器及分數階可調式積分器(Variable fractional-order differentiators and integrators)之設計。而在二維可調式數位濾波器設計中，我們運用了McClellan 轉換及提出的架構來實現各種二維可調式FIR濾波器。最從我們也發展出了一個可調的視窗(Variable window)，在此視窗下，我們可以實現傳輸頻寬可調式FIR濾波器。在設計的過程中，我們會以各種的級數展開來將相關矩陣的元素化為closed-form，此動作可避免數值積分的運算，並且以權重式最小平方差逼近法(Weighted least-squares approach)來求得最佳解(Optimal Solution)。 Variable digital filters have received considerable attention in the last decade due to their wide usages in communication systems and image processing. Their important advantage is that they contain a number of parameter in transfer function, which can be used to tune the frequency response immediately on-line without redesigning a new filter. The design of variable digital filters can be classified into two categories, the variable delay response filters and variable magnitude response filters. First, in terms of variable delay response filters, this thesis proposes a new coefficient relationship method to design variable fractional-delay (VFD) FIR filters, which can achieved higher designed performance in large order subfilters and less number of designed coefficient than the latest method. Then, the allpass IIR filters are also introduced to design VFD filters. Second, in the variable magnitude response filters, we propose two methods, binomial series expansion and Taylor series expansion, to design the variable fractional-order differentiators and integrators. Furthermore, in the design of 2D variable digital filters, the variable 2-D subfilters and variable 1-D prototype filters are designed with the same parameter to construct all kinds of variable 2-D FIR filters by using McClellan transformation. They can also be implemented by the proposed structures. Finally, the variable window is also generated which can be applied to design variable transition bandwidth FIR filters.In the thesis, several series expansions are used such that elements of relative matrices can be evaluated in closed-forms and annoying numerical integrals can be all avoided. Then, to find the optimal solution, the weighted least-squares (WLS) approach is used.

可調式數位濾波器之設計 = Design of Variable Digital Filters
黃, 韻達

可調式數位濾波器之設計 = Design of Variable Digital Filters / 黃韻達撰 - [高雄市] : 撰者, 2008[民97]. - 100面 ; 圖，表 ; 30公分.
指導教授：徐忠枝參考書目：面79-84.
分數階延遲可調式FIR 濾波器Variable Fractional-Delay FIR Filter

可調式數位濾波器之設計 = Design of Variable Digital Filters
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