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完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 李枝宏(Ju-Hong Lee) | |
dc.contributor.author | Bang-Sian Liu | en |
dc.contributor.author | 劉邦賢 | zh_TW |
dc.date.accessioned | 2021-06-15T03:52:16Z | - |
dc.date.available | 2012-08-01 | |
dc.date.copyright | 2010-07-15 | |
dc.date.issued | 2010 | |
dc.date.submitted | 2010-07-08 | |
dc.identifier.citation | [ 1] See-May Phoong, Chai W. Kim, P.P. Vaiyanathan and Rashid Ansari, “A New Class of Two-Channel Biorthogonal Filter Banks and Wavelet Bases”, IEEE Trans. on Signal Processing, vol. 43, No. 3, Mar 1995.
[ 2] Xi Zhang, Tomonobu Muguruma, Toshinori Yoshikawa, “Design of orthonormal symmetric wavelet filters using real allpass filters”, Signal Processing, vol. 80, no. 8, pp. 1551-1559, Aug. 2000 [ 3] Cormac Herley, Martin Vetterli, “ Wavelet and Recursive Filter Banks”, IEEE Trans. On Signal Processing, Vol. 41, No. 8, pp.2536-2556, Aug. 1993. [ 4] Antonie Ayache, “Some Methods for Constructing Nonseparable,Orthonormal, Compactly Supported Wavelet Bases”, Applied and Computational Harmonic Analysis, vol.10, no.1, pp.91-111, Jan. 2001 [ 5] Y.C. Lim, C.K. Chen, and R.H. Yang, “A weighted least squares algorithm for quasi-equiripple FIR and IIR digital filter design”, IEEE Trans. on Signal Processing, vol. 40, no. 3, pp551-558, Mar.1992 [ 6] J.P. Thiran, “Recursive digital filters with maximally flat group delay”, IEEE Trans. On Circuit Theory, vol. 18, pp.659-664, Nov. 1971 [ 7] Charng-Kann Chen and Ju-Hong Lee, “Design of digital all-pass filter using a weighted least squares approach”. IEEE Trans. Circuit and Syst.- II : Analog and Digital Signal Processing, vol. 41, no.5, pp346-351, May 1994. [ 8] Truong T. Nguyen and Soontorn Oraintara, “ EFFICIENT IMPLEMENTATION OF UNDECIMATED DIRECTIONAL FILTER BANKS”, in Proc. of European Signal Processing Conference (EUSIPCO), Florence, Italy, Sept. 2006. [ 9] Truong T. Nguyen, and Soontorn Oraintara, “A Class of Multiresolution Directional Filter Banks”, IEEE Trans. On Signal Processing, VOL. 55, NO. 3, pp. 949-961, Mar. 2007 [10] Xi Zhang, H Iwakura, “Design of IIR digital allpass filters based on eigenvalue problem”, IEEE Trans. on Signal Processing, vol.47, no.2, pp554-559, Feb. 1999. [11] I Daubechies, “Orthonormal Bases of Compactly Supported Wavelets”, Communications on Pure and Applied Mathematics, vol. 41. Issue 7, pp.909-996, Nov. 1988 [12] A. Cohen 1, Ingrid Daubechies , J.-C. Feauveau, “Biorthogonal Bases of compactly supported Wavelets”, Communications on Pure and Applied Mathematics, vol. 45. No.5, pp.485-560, 1992 [16] O Faroonq, S Datta, “Mel filter-like admissible wavelet packet structure for speech recognition”, IEEE Signal Processing Letters, vol.8, no.7, pp196-198, 2001 [17] Xi Zhang and Toshinori Yoshikawa, “Design of orthonormal IIR wavelet filter banks using allpass filters”, Elservier Science Signal Processing, vol.78, No.2, pp.91-100, 1999. [18] Xi Zhang and Toshinori Yoshikawa, “Design of two-channel IIR linear phase PR filter banks”, Signal Processing, vol. 72, no.3, pp267-175, Feb. 1999. [19] Felix C.A. Fernandes, Ivan W. Selesnick, Rutger L.C. van Spaendonck, C.Sidney Burrus, “Complex wavelet transform with allpass filters”, Signal Processing, vol. 83, no.8, pp.1689-1706, Aug. 2003. [20] Burcin Ozmen, Huseyin Ozkaramanli, “Complex linear-phase biorthogonal filterbanks with approximately analytic wavelets”, Signal Processing, vol. 89, no.4, pp.599-604, Apr.2009. [21] Ka Shun Carson Pun, Truong Q. Nguyen, “A Novel and Efficient Design of Multidimensional PR Two-Channel Filter Banks With Hourglass-Shaped Passband Support”, IEEE Signal Processing Letters, Vol. 11, No. 3, pp.345-348, Mar. 2004. [22] Ju-Hong Lee and Yuan-Hau Yang, “Two-Channel Quincunx QMF Banks Using Two-Dimensional Digital Allpass Filters”, IEEE Trans. On Circuit and Systems-I: Regular papers, Vol. 56, No. 12, pp.2644-2654, Dec. 2009. [23] Letizia Lo Presti, Gabriella Olmo, “A realizable paraunitary perfect reconstruction QMF bank based on IIR filters”, Signal Processing, vol. 49, no.2, pp.133-143, 1996. [25] Stephane G. Mallat, “A Theory for Multiresolution Signal Decomposition: The Wavelet Representation”, IEEE Trans. Pattern analysis and machine intelligence. Vol. 11, No. 7, July 1989. [26] Tsuhan Chen, P.P. Vaidyanathan, “Multidimensional Multirate Filters and Filter Banks Derived from One-Dimensional Filters.” IEEE Trans. On Signal Processing, Vol. 41, No. 5, May 1993. [27] Kiwamu Inui, Toshiyuki Yoshida, Akinori Nishihara, “Design of two-Dimensional Maximally Flat Diamond-Shaped Half-Band Finite Impulse Response Filters with Rectangular Supports of Impulse Response”, Electronics and Communications in Japan, Part 3, Electron SCI(USA), Vol. 78, No. 2, pp.77-88, 1995 [28] Wu-Shen Lu, Andreas Antoniou, and Hua Xu, “A Direct Method for the Design of 2-D Nonseparable Filter Banks”, IEEE Trans. Circuit and System II: Analog and digital signal processing. Vol. 45, No. 8, pp.1146-1150, Aug. 1998. [29] J.S. Lim, 'Two-Dimensional Signal and Image Processing”, Englewood Cliffs, NJ: Prentice-Hall, 1992. [30] P.P. Vaidyannathan, “Multirate Systems and Filter Banks”, Englewood Cliffs, Prentice-Hall, New Jersey, 1993. [31] T. Q. Nguyen, T. I. Laakso, and R. D. Koilpillai, 'Eigenfilter approach for the design of allpass filter approximating given phase response', IEEE Trans. On Signal Processing, vol.42, no.9, pp.2257-2263, Sept. 1994. [32] 牛挹青, “具有無限脈衝響應的一維濾波器組與二維濾波器之最佳設計”, 台大電信工程學研究所碩士論文, 1999 [33] 楊元豪, “基於L∞準則之無限脈衝響應全通濾波器與濾波器組之最佳化設計”, 台大電信工程學研究所碩士論文, 2002 [34] 楊元豪, “基於遞迴數位全通濾波器之新穎的二維數位濾波器及其多速率系統應用”, 台大電信工程學研究所博士論文, 2007. [35] R.H. Bamberger and M.J. Smith. “A filter bank for the directional decomposition of image: Theory and Design”. IEEE Trans. On Signal Processing, Vol. 40, No. 4, pp.882-893, Apr. 1992. [36] C.-K. Chen and J.-H. Lee, “Minimax design of two-dimensional parallelogram filter banks,” IEE Proc. – Vision, Image and Signal Processing, vol. 142, no. 4, pp. 220-227, Aug. 1995. [37] W.-S. Lu, A. Antoniou, and H. Xu, “A direct method for the design of 2-D nonseparable filter banks,” IEEE Trans. on Circuits and Systems II: Analog and Digital Signal Processing, vol. 45, no. 8, pp. 1146-1150, Aug. 1998. [38] Ju-Hong Lee and Y.-H. Yang, “Two-Channel Parallelogram QMF Banks Using 2-D NSHP Digital Allpass Filters,” IEEE Transactions on Circuits and Systems I, 2010 | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/44648 | - |
dc.description.abstract | 近年來,小波、濾波器組與多解析訊號分析等理論已經被整合一個獨特的理論。已經有許多研究成果顯示小波基底可以由完美重建的濾波器組來得到。換句話說,完美重建濾波器組可以用來運算離散小波轉換,且可以得到連續的小波基底。
本論文使用數位全通濾波器為基礎來建構雙通道的小波濾波器組。藉由在相位響應上形成適當的近似,可以針對L2 、L∞ 或最大平坦設計準則來得到符合我們預期的濾波器組表現。並且利用簡單的頻譜轉換的方法得到二維小波濾波器。 本論文中有許多設計實例,呈現令人滿意的結果,設計方法簡單且方便,可以驗證此論文的方法可行性。 | zh_TW |
dc.description.abstract | Recently, wavelet, filter banks, and multiresolution signal analysis theorems have been converged to an unique one. Many researches have shown that wavelet bases can be generated by Perfect Reconstruction Filter Banks(PRFB). In other words, discrete wavelet transform can be computed by using PRFB, and continuous wavelet bases can also be obtained based on PRFB.
In this thesis, we construct two-channel PRFB using digital all-pass filters. By appropriately approximating the desired phase responses derived from the proposed structure, we can solve the design problem optimally in the L2,L∞, and maximally flat sense respectively to obtain the expected performance of filter banks. By using frequency mapping technique, we can get 2-D wavelet filters easily. Many simulation examples are presented in this thesis to show the effectiveness of the proposed method. From the comparison of design results, we observe that the proposed method provides the satisfactory design results. | en |
dc.description.provenance | Made available in DSpace on 2021-06-15T03:52:16Z (GMT). No. of bitstreams: 1 ntu-99-R97942091-1.pdf: 2454004 bytes, checksum: 2ab56fa95ac46c7ea66e4e13ed84a316 (MD5) Previous issue date: 2010 | en |
dc.description.tableofcontents | 口試委員會審定書 #
誌謝 2 中文摘要 3 ABSTRACT 4 CONTENTS 5 LIST OF FIGURES 11 LIST OF TABLES 17 Chapter 1 序論 20 1.1 研究動機 20 1.2 論文內容流程 20 Chapter 2 最佳化演算法與數位全通濾波器設計 22 2.1 簡介 22 2.2 數位全通濾波器 23 2.3 基於L∞準則的Weighted Least-Square演算法 24 2.3.1 權重函數調整方式 26 2.3.2 Weighted Least-Square設計演算法整理 27 Chapter 3 實數係數一維IIR數位全通濾波器設計 28 3.1 簡介 28 3.2 數位全通濾波器設計問題形成 28 3.3 基於L∞準則之詳細設計方法 31 3.3.1 楊元豪碩士班論文3.3節使用方法 31 3.3.2 詳述3.3.1之WLS演算作法 33 3.4 使用晶格狀架構設計一維IIR全通濾波器 36 3.4.1 晶格架構改進 : (Verified) 38 3.5 設計實例與結果討論 42 3.5.1 實驗結果 45 Chapter 4 實係數無限脈衝之一維小波濾波器組 49 4.1 簡介 49 4.2 小波理論與小波濾波器 49 4.2.1 實數的小波 51 4.2.2 Vanishing Moments 51 4.3 以全通濾波器為基礎的一維歸一正交小波濾波器組 52 4.3.1 正交特性證明 54 4.4 以IIR全通濾波器構成之雙重互補濾波器組設計之小波濾波器組 56 4.4.1 選擇設計的階數 N1及N2的方法 59 4.4.2 以IIR全通濾波器構成之雙重互補濾波器組設計之小波濾波器組的架構及理論分析 61 4.4.3 相位設定與濾波器的平坦特性關係 62 4.5 基於L∞之小波濾波器組設計 65 4.5.1 設計實例一 65 4.5.2 設計實例二 66 4.5.3 基於L∞準則設計方法 66 4.6 設計結果討論 72 4.6.1 Minimax Sense Design Results 77 4.7 最大平坦設計 86 4.7.1 Maximally Flat Group Delay Closed-Form Solution 86 4.7.2 最大平坦公式解使用舉例 91 4.8 設計實例與結果討論 92 4.8.1 Proposed Least-Square Solution 93 Chapter 5 Quincunx 取樣矩陣與二維小波濾波器組設計 109 5.1 一維小波濾波器組基礎 109 5.1.1 以全通濾波器為基礎之一維小波濾波器基礎回憶 109 5.2 二維雙通道正交濾波器組架構 111 5.3 Properties of Proposed Structure 115 5.3.1 二維架構結果與設計相位關係 116 5.3.2 二維Quincunx濾波器組的係數Support Region討論 119 5.3.3 鏡像濾波器組正交性證明設定結果 120 5.3.4 Doubly Complementary Property and Half Band Property 123 5.4 所使用的設計方法整理 125 5.4.1 設計問題形成:Least Square Solution 126 5.4.2 第五章設計演算法整理:Weighted-Least Square Solution 130 5.5 Diamond-Shaped設計實例的規範及討論 132 5.5.1 比較實例一:Pure Delay + All-pass 132 5.5.2 設計實例二: MaxFlat 137 5.5.3 設計實例三: Minimax 142 5.6 Hourglass Shaped Filter 149 5.6.1 Hourglass-shaped實例比較 150 Chapter 6 平行四邊形之二維小波濾波器設計 158 6.1 簡介 158 6.2 Parallelogram-shaped濾波器架構 158 6.2.1 Proposed structure 159 6.3 Properties of Proposed Structure 163 6.3.1 二為架構結果與設計相位關係 164 6.3.2 Parallelogram-Shaped濾波器之係數範圍及穩定性討論 167 6.4 鏡像濾波器組正交性證明 168 6.4.1 Doubly Complementary and Half-Band Property 172 6.4.2 濾波器組響應 174 6.5 設計實例比較結果討論 174 6.5.1 設計問題形成 176 6.5.2 設計實例 Example 6.1 181 6.5.3 Example 6.2 Pure delay + 全通濾波器設計結果 186 6.5.4 Parallelogram-Shaped 最大平坦解 194 Chapter 7 相位補償器與全通濾波器為基礎之濾波器組設計改良 199 7.1 Proposed Structure:One-Dimension 199 7.1.1 Proposed架構討論 200 7.2 設計問題形成 202 7.2.1 詳述WLS演算作法 206 7.3 二維Parallelogram-Shaped濾波器 215 7.4 二維Diamond-Shaped 濾波器組 224 7.4.1 Proposed Structure 225 7.4.2 有相位補償的二維Diamond-Shaped設計實例 227 Chapter 8 結論及參考文獻 233 | |
dc.language.iso | zh-TW | |
dc.title | 以全通濾波器為基礎之有效率的一維與二維小波濾波器設計 | zh_TW |
dc.title | Efficient Design of One and Two Dimensional Wavelet Filters Using All-pass Filters | en |
dc.type | Thesis | |
dc.date.schoolyear | 98-2 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 貝蘇章(Soo-Chang Pei),馮世邁(See-May Phoong),曾建誠(Chien-Cheng Tseng) | |
dc.subject.keyword | 小波濾波器,全通濾波器,IIR,多速率系統, | zh_TW |
dc.subject.keyword | wavelet filter,all-pass filter,IIR,multi-rate system, | en |
dc.relation.page | 237 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2010-07-08 | |
dc.contributor.author-college | 電機資訊學院 | zh_TW |
dc.contributor.author-dept | 電信工程學研究所 | zh_TW |
顯示於系所單位: | 電信工程學研究所 |
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