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研究生:范志鵬
論文名稱:訊號處理之離散轉換快速與遞迴演算法
論文名稱(外文):Fast and Recursive Algorithms of Discrete Transforms for Signal Processing
指導教授:楊家輝楊家輝引用關係
學位類別:博士
校院名稱:國立成功大學
系所名稱:電機工程學系
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:1997
畢業學年度:86
語文別:中文
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COVER
TABLE OF CONTENTS
Abstract
Table of Contents
Figure Captions
Table Captions
Chapter 1. Introduction
1.1 Transforms
1.2 Fast Algorithms
1.3 Recursive Architectures
1.4 Outline of This Thesis
Chapter 2. Fixed-Pipeline Two-Dimensional Hadamard Transform Algorithms
2.1 Introduction
2.2 Fixed-Pipeline 2-D Hadamard Transform
2.3 Hierarchical 2-D Hadamard Transform
2.4 Realization of Hierarchical 2-D Hadamard Transform
2.5 Conclusions
Chapter 3. Fast Center Weighted Hadamard Transform Algorithms
3.1 Introduction
3.2 The Center Weighted Hadamard Transform
3.3 Fast I-D Center Weighted Hadamard Transform
3.4 Fast I-D Center Weighted Hadamard Transform
3.5 Conclusions
Chapter 4. Centralized Fast Slant Transform Algorithms
4.1 Introduction
4.2 Fast I-D Slant Transform
4.3 Fast 2-D Slant Transform
4.4 Implementation and Computational Complexity
4.5 Conclusions
Chapter 5. Fast Structural Two Dimensional Discrete Cosine Transform Algorithms
5.1 Introduction
5.2 Review of Matrix Operations
5.3 Fast 2-D DCT Algorithms
5.4 Fast 2-D Inverse DCT Algorithms
5.5 Conclusions
Chapter 6. Implementation of the Discrete Hartley Transforms with Filtering Structures
6.1 Introduction
6.2 Recursive Algorithms for the DHT-I and IDHT-I
6.3 Recursive Algorithms for the DHT-IIII and IDHT-III
6.4 Recursive Algorithm for the DHT-IV
6.5 Conclusion
Chapter 7. Recursive Discrete Cosine Transforms with Selectable Fixed-Coefficient Filters
7.1 Introduction
7.2 Discrete Cosine Transforms
7.3 Recursive Cosine Structures with Fixed Coefficients
7.3-1 Fixed Recursive Structure for DCT-III
7.3-2 Fixed Recursive Structure for DCT-IV
7.3-3 Fixed Recursive Structure for DCT-III
7.4 Selected and Fixed Recursive Structures
7.4-1 Selected and Fixed Recursive Structures for DCT-III
7.4-2 Selected and Fixed Recursive Structures for DCT-IV
7.5 Accuracy and Complexity Comparisons
7.6 Conclusion
Chapter 8. Condensed Recursive Structures for Discrete Cosine Transform
8.1 Introduction
8.2 Index Description of Transform Bases
8.2-1 Grouping of Frequency Components
8.2-2 DCT Kernel Bases
8.3 Recursive Structures ofDCT-II Transform
8.4 Selected Recursive Structures ofDCT-II Transform
8.5 Simulation Results
8.6 Conclusion
Chapter 9. Conclusions
Appendix
References
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