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Title: | 一維及多維可調式數位濾波器之設計與實現 Design and Implementation of One-Dimensional and Multi-Dimensional Variable Digital Filters |
Authors: | Yun-Da Huang 黃韻達 |
Advisor: | 貝蘇章(Soo-Chang Pei) |
Keyword: | 相位可調式數位濾波器,振幅可調式數位濾波器,可調式數位濾波器,數位凹口濾波器,數位梳型濾波器,二維濾波器,三維濾波器,馬可侖轉換,象限鏡型濾波器,權重最小平方差趨近,最小化最大誤差設計, Variable Fractional-Delay FIR Filter,Variable Fractional-Delay IIR Filter,Variable Digital filter,Digital Notch filter,Digital Comb filter,Two-Dimensional filter,Three-Dimensional filter,Quadrature Mirror Filter,McClellan Transformation,Weighted Least-Squares Approach,Minimax Filter Design., |
Publication Year : | 2015 |
Degree: | 博士 |
Abstract: | 可調式數位濾波器的設計,在這二十年來受到了許多的關注。主因在於它擁有廣泛的應用,其中包含通訊系統及影像處理。可調式數位濾波器最重要的特色在於它的架構裡內含多個可調的參數,使用者可即時改變此參數以立即調整系統的頻率響應而無需重新設計新的濾波器。此類的濾波器可分為兩種,一為相位可調式濾波器,另一為振幅可調式濾波器。
這此篇博士論文中,我們設計了許多一維及二維的分數相位可調式數位濾波器,運用的近似方式有權重式最小平方差、最小化最大誤差、反覆求值及新準則的方法。架構方面,不僅將現存的一維架構擴展至二維,更提出新架構用以改善成果及降低係數成本。此外我們也提出了新的轉換函數來設計一維及二維類凹口數位濾波器。而多維度象限鏡型濾波器也在本篇論文中有進一步的研究。 至於振褔可調式數位濾波器,我們不但設計出了平坦度可調式微分器,更利用了馬可侖轉換設計出了三維可調式圓錐數位濾波器。 Variable digital filters have received considerable attention in the last two decades due to their wide usages in communication systems and image processing. Their important advantage is that they contain a number of parameters in transfer function, which can be used to tune the phase response immediately on-line without redesigning a new filter. In this dissertation, several 1-D variable fractional-delay (VFD) digital filters are proposed, such as minimax design, new criterion FIR and IIR filter design. After that, two structures for the design of 2-D VFD digital filter are illustrated in detail. Then, the application of these VFD filter is introduced which can be used in the field of digital notch-like filter designs. In this dissertation, we proposed not only the design of digital 1-D and 2-D VFD and notch-like filters but also the design of variable 1-D and multi-dimentional digital filters such as 1-D maximally linear FIR differentiators, 2-D fan type filters, 2-D circular symmetry filters, 2-D elliptical filters and 3-D cone-shaped filters by using McClellan transformations and multi-dimensional quadrature mirror filters. In the design procedure, several kinds of approaches are used, such as weighted least-squares(WLS) design, minimax design and iterative design whicn can achieve high performances of frequency responses and insure the stability of the designed IIR filters. In all types of digital filter designs, the related transfer functions and structures are illustrated which are the latest methods for these filter designs and can obtain the better performances compared with the present methods. Furthermore, a new method for the 2-D image filtering is also introduced which can obtain higher signal-to-noise ratios (SNR) in the output than the conventional methods. |
URI: | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/4787 |
Fulltext Rights: | 同意授權(全球公開) |
Appears in Collections: | 電信工程學研究所 |
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ntu-104-1.pdf | 17.31 MB | Adobe PDF | View/Open |
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