臺灣博碩士論文加值系統

離散小波轉換（Discrete Wavelet Transform）是一種類似短週期的富立葉轉換 (Short-Time Fourier Transform)，它提供另一種信號處理的方法，特別適合用在空間及頻譜上區域聚集性的分析。在本論文中我們描述了各種一維與二維離散小波轉換之演算法、超大型積體電路 (VLSI) 架構及VLSI單晶片的實現。在一維上的研究，我們提出一個改良的一維離散小波轉換VLSI架構，及另外兩個版本的VLSI架構以進一步降低先前版本的硬體成本。在二維上的研究，我們提出一個使用「修正遞迴金字塔演算法 (Modified Recursive Pyramid Algorithm)」之「分離式」的VLSI架構，以及提出自行發展的「半金字塔演算法 (Semi-Pyramid Algorithm)」設計另一個「非分離式」的VLSI架構，並且已將此架構製作成一顆IC單晶片以驗證它的正確性。此外，為了重建一個已被分解的影像，我們也提出ㄧ個二維離散小波反轉換之VLSI架構，同時為了得到較佳的效能我們使用自行發展的「遞迴四元樹金字塔演算法 (Recursive Quaternary-Tree Pyramid Algorithm)」來設計其VLSI架構。
由於我們提出的各種一維及二維離散小波轉換之VLSI架構，擁有快速計算、較低的硬體成本及含有規則性的硬體結構，因此它們不僅適合於VLSI單晶片的實現外，也適合應用在即時的數位信號處理。

The wavelet transform, similar to the Short-Time Fourier Transform, provides an alternative approach to signal processing, especially suitable for the analysis of spatial and spectral locality where signal contains discontinuities and sharp spikes. In this Dissertation, we describe the algorithms, VLSI architectures, and single-chip implementations for the 1-D and 2-D discrete wavelet transforms. In the 1-D case, we improve the performance of an existing 1-D DWT VLSI architecture, and then present two other VLSI architectures to further reduce the hardware cost. In the 2-D case, we propose a separable implementation of DWT VLSI architecture based on the Modified Recursive Pyramid Algorithm (MRPA) algorithm. We also devise a non-separable implementation of DWT VLSI architecture based on our proposed 2-D semi-pyramid algorithm, and then map this architecture into a VLSI single chip to verify its function. Moreover, to reconstruct a decomposed image into the original one, a 2-D inverse DWT VLSI architecture using our proposed Recursive Quarter-Tree Pyramid Algorithm (RQTPA) is devised. Since the proposed 1-D and 2-D DWT/IDWT architectures have fast computation time, spend lower hardware cost, and own a regular hardware structure, they are suited for not only VLSI single-chip implementation, but also applications in digital signal processing, such as codec-based MPEG-4 and JPEG 2000.

封面
封面
目錄
第一章 簡介
第二章 離散小波轉換
第三章 離散小波轉換的演算法
第四章 一維離散小波轉換的VLSI架構設計
第五章 二維離散小波轉換的VLSI架構設計
第六章 VLSI的實作
第七章 結論
附錄 英文部份

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