臺灣博碩士論文加值系統

在先進的通訊系統中FIR數位濾波器是基本且不可或缺的！而使用複頻訊號處理技巧可以更加有效率地設計這些濾波器。在本論文中，我們利用IFIR的方法設計了一系列FIR數位濾波器。同時我們也使用了Kaiser window方法以及Nyquist濾波器的概念來設計cosine-modulated filter banks的prototype濾波器。這些技術能夠大幅地減少運算複雜度和濾波器的成本，並且在設計過程中提供較高效率。

The FIR digital filters are essential and indispensable in the progressive communication systems. The design of these filters by using multirate signal processing techniques is much more advantageous and efficient. In this thesis we take advantage of the IFIR method to design a series of FIR digital filters. The ideas of the Kaiser window approach and the Nyquist filter are used for the design of prototype filters of cosine modulated filter banks. They can greatly reduce the computational complexity and the cost of the filters, and can provide higher efficiency in the designing procedure.

ABSTRACT (in Chinese)
ABSTRACT (in English)
ACKNOWLEDGEMENT
CONTENTS
LIST OF FIGURES
LIST OF TABLES
CHAPTER 1 INTRODUCTION
CHAPTER 2 MULTIRATE SYSTEM FUNDAMENTALS
2.1 Introduction
2.2 Fundamental Operations of Multirate Systems
2.2.1 Decimation and interpolation
2.2.2 Transform domain analysis of decimators and expanders
2.2.3 Decimation filter and interpolation filter
2.3 Useful Interconnections in Multirate Systems
2.3.1 Decimator and expander cascades
2.3.2 Fractional sampling rate alteration
2.3.3 Noble identities
2.4 polyphase
2.4.1 Efficient structures for decimation and interpolation filters
2.4.1.1 Decimation filters
2.4.1.2 Interpolation filters
CHAPTER 3 INTERPOLATED FIR (IFIR) FILTERS DESIGN
3.1 Introduction
3.2 Multistage Implementations
3.3 The Interpolated FIR (IFIR) Approach
3.3.1 Basic idea of interpolated FIR (IFIR) filters
3.3.2 Some important properties of IFIR
3.3.2.1 Adjusting ripple sizes
3.3.2.2 Terminologies of IFIR filters
3.3.2.3 Some points for attention in the IFIR approach
3.4 Multistage Design of Decimation and Interpolation Filters
3.4.1 Multistage design of decimation filters
3.4.2 Design of multistage decimation filters
3.4.2.1 Method I of designing multistage decimation filter
3.4.2.2 Method II of designing multistage decimation filter
3.5 Design of IFIR High-Pass and Band-Pass Filters
3.5.1 Design of IFIR highpass filters
3.5.2 Design of IFIR bandpass filters
3.5.3 IFIR wideband filter designs
CHAPTER 4 M-CHANNEL COSINE-MODULATED FILTER BANKS DESIGN
4.1 Digital Filter Bank Fundamentals
4.2 M-Channel Maximally Decimated Filter Bank
4.2.1 Basic M-channel maximally decimated filter bank
4.2.2 General M-channel polyphase filter banks
4.3 Cosine-Modulated Filter Banks
4.3.1 Structure of the cosine-modulated filter bank
4.3.2 Compensation of the alias components
4.3.3 Design of the prototype filter
4.3.3.1 Review of prototype designs using the Parks-McClellen algorithm
4.3.3.2 Prototype filter design using Kaiser window approach
4.3.3.3 Define a objective function
4.3.3.4 Design and simulation results of cosine-modulated filter banks
CHAPTER 5 CONCLUSIONS
REFERENCES

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