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论文作者:英语硕士论文论文属性:硕士毕业论文 thesis登出时间:2012-09-14编辑:tinkle点击率:6121
论文字数:9614论文编号:org201209141541289177语种:英语 English地区:美国价格:$ 132
关键词:electrical engineeringNyquist filterfilter
摘要:美国圣地亚哥州立大学电子工程毕业论文:A Square-root Nyquist Filter Design Using Minimax Optimization,由英语论文网提供并策划。
美国圣地亚哥州立大学电子工程毕业论文:A Square-root Nyquist Filter Design Using Minimax Optimization
Nyquist filters play a very important role in data transmission to band-limit data spectrum and minimize intersymbol interference. Many different approaches to design such filters have been discussed in publications. Farhang-Boroujeny https://www.51lunwen.org/electricalengineering/ ntroduced a method to minimize a cost function using iterative least-squares method. The design can strike a balance between the stopband attenuation, the residual ntersymbol interference (ISI), robust sensitivity to timing jitter and reduced peak-to-average-power ratio (PAPR). In this thesis, a novel method is proposed to achieve above properties by adopting Chebyshev minimax method to minimize the modified cost function. Compared the results obtained the least-squares method and root raised cosine (RRC), for some filter specifications, the proposed designed filter outperforms the least-squares method and RRC.
CHAPTER 1
INTRODUCTION
The trend of the communication systems has been moved the early days of analog systems to digital systems due to many advantages. Two most important advantages are bandwidth efficiency and superior immunity to noise. Making a trade-off between physical limitations of current communication systems and the demand for a system with more efficient bandwidth usage and higher capacity is the greatest challenge for design engineers. The Nyquist filter is one of the most important components in digital communication systems. Its application directly contributes to the bandwidth usage and noise immunity. One cannot talk about an optimal system without optimizing its Nyquist filter.
TABLE OF CONTENTS
PAGE
ABSTRACT v
LIST OF TABLES viii
LIST OF FIGURES ix
ACKNOWLEDGEMENTS xi
CHAPTER
1 INTRODUCTION 1
1.1 Pulse Shaping 2
1.2 Nyquist Pulse Criterion 5
1.3 Overview 8
2 NYQUIST FILTER AND SQUARE-ROOT NYQUIST FILTER 9
2.1 Realization of Nyquist Filter 9
2.2 Square-Root Nyquist Filter 10
2.3 Raised Cosine (RC) and Root-raised Cosine (RRC) 13
2.3.1 Bandwidth of RC Filter 15
2.3.2 Mathematical Expression of RC Filter and RRC Filter 15
3 FORMULIZING THE PROBLEM 18
3.1 FIR Filter with Linear Phase 19
3.2 Zero ISI Constraint 20
3.3 Minimization of Stopband Attenuation 22
3.4 Reduced PAPR 23
3.5 Robustness to Timing Jitters 24
3.6 Objective Function 24
4 ROOT-NYQUIST FILTER DESIGN BY ITERATIVE LEAST SQUARE OPTIMIZATION 26
4.1 Theory of the Design Method 26
4.2 Simulation Results 28
5 MINIMAX TECHNIQUE 33
5.1 Problem Description 33
5.2 Design Example 35
5.2.1 Design for Improving the Stopband Attenuation and Residual ISI 36
5.2.2 Design for Reduced PAPR and Robustness to Timing Jitter 41
5.2.2.1 PAPR vs. Stopband Attenuation 42
5.2.2.2. PAPR vs ISI 47
REFERENCES 57
APPENDIX
MATLAB FUNCTION FOR MINIMAX SQRT-NYQUIST FILTER DESIGN 58
LIST OF TABLES
PAGE
Table 5.1. The stopband attenuation (dB) of the MrNF 36
Table 5.2. The residual ISI energy of MrNF 37
Table 5.3. The Relative Stopband Attenuation (dB) of The rNyquistM Filter and MrNF. The filter paramet本论文由英语论文网提供整理,提供论文代写,英语论文代写,代写论文,代写英语论文,代写留学生论文,代写英文论文,留学生论文代写相关核心关键词搜索。