# 臺灣博碩士論文加值系統

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 複頻率數位訊號處理近年來已成為一主要的研究對象.決定一複 頻率系統是否能成功地應用在各個領域上的主要因素為其實現之複雜度. 因此,據有快速演算法則的弦式調變濾波器庫便成為領域之主流.本論文即 針對弦式調變濾波器庫,就其實現及應用方面做一探討.其中我們提出兩種 實現方法: 1. 不論濾波器脈衝響應的長度,弦式調變濾波器庫可用 平行之遞進式架構 計算而得.該架構尤其適合超大型積體電路之 實現. 2. 以離散傅氏轉換實現弦式調變濾波器庫,因而大幅提昇系統 之運算速度.此外,我們還利用弦式調變濾波器庫嘗試以下兩種應用: 1. 以離散傅氏轉換濾波器庫實現頻率域之快速濾波方法. 2. 用一貳 階之遞迴式架構實現離散餘弦濾波器庫,並以該架構做為設計高 效率之有限脈衝響應數位濾波器的前置濾波器.
 Multirate signal processing has been a growing field for more than one decade. The analysis-synthesis systems have found many applicationssuch as speech, image coding, transmultiplexing, adaptive filteringand spectral analysis. One of the issues recognized as being importantto the successful application of these systems is the computational complexity. A significant solution to reducing the computational complexity is based on the sinusoidal modulated filter banks. Traditionalblock transforms, including the DFT, DHT, DCT, and DST, and the extendedlapped transform are all examples of the sinusoidal modulated filterbanks. In this dissertation, we pay our attention to implenentationand application of the sinusoidal modulated filter banks. We propose two implementations for the modulated filter banks: 1. We present a unified second order structure for computation of filter banks with arbitrary length of basis functions. For the regularity and parallelism of the structure, the new scheme really provides a low cost hardware implementation and is especially suitable for VLSI technologies. 2. For the M-band cosine modulated filter banks, the analysis and synthesis sections are efficiently implemented with two M-point of DFTs and some extra operations. In addition, two main applications of the DFT and DCT filterbanks are discussed in detail: 1. The DFT filter bank is used for fast FIR filtering in the transform domain. From a measure of computational complexity, the proposed implementation has been proved to have better performance than the overlap-add and overlap- save algorithms. 2. The analysis filters of the DCT filter bank are converted into a unified second filter form which requires only two multipliers and five adders to implement. The structure is used as a prefilter for efficient digital filter design. The proposed prefilter structure has been proved to be an efficient one for the design of lowpass, bandpass and highpass digital filters simutaneously.
 COVERAbstract(in Cinese)Abstract(in English)AcknowledgementsContentsList of TablesList of FiguresChapter 1 IntroductionReferencesChapter 2 M-Band Maximally Decimated Filter bank2.12.22.32.42.52.6ReferencesChapter 3 Regressive lmplementation for Filter Banks with Sinusoidal Basis Functions3.13.23.33.43.5ReferencesChapter 4 Polyphase lmplementation for the Extended Lapped Transform with Fast Fourier Transform4.14.24.34.44.5ReferencesChapter 5 Fast FIR Filtering with the DFT Filter Bank5.15.25.35.45.5ReferencesChapter 6 Efficient Digital Filter Design with the DCT-Based Prefilter Structure6.16.26.36.46.5ReferencesChapter 7 ConclusionsPublication List
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