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  1. NTU Theses and Dissertations Repository
  2. 電機資訊學院
  3. 電信工程學研究所
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/47811
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor馮世邁(See-May Phoong)
dc.contributor.authorMing-Ju Leeen
dc.contributor.author李明儒zh_TW
dc.date.accessioned2021-06-15T06:19:58Z-
dc.date.available2015-08-12
dc.date.copyright2010-08-12
dc.date.issued2010
dc.date.submitted2010-08-10
dc.identifier.citationBibliography
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3-6 April 2006.
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[12] J. Y. Yun, S. Y. Chung and Y. H. Lee, 'Capacity Maximizing ICI Canceling Win-
dows for OFDM in Time-Varying Channels,' IEEE Int. Conf. Commun., vol.10,
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[13] H. Zhang and Y. Li, 'Optimum frequency-domain partial response encoding in
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[21] S. M. Phoong, Multirate Signal Processing,' Class Note, National Taiwan Uni-
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[22] P. P. Vaidyanathan, S. M. Phoong and Y. P. Lin, Signal Processing and Opti-
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/47811-
dc.description.abstractIncreasing demand for higher data rates under high mobility has catalyzed sev-
eral new techniques and systems. One of the most popular techniques is orthogonal
frequency-division multiplexing (OFDM). The OFDM system is widely adopted in
many modern communication systems because of its spectral e±ciency and its ro-
bustness over multipath channels. For many mobile applications, the end users might
be moving and this will introduce the doppler eRect. Due to the doppler eRect, chan-
nel is not time-invariant anymore and the orthogonality among the subcarriers of the
OFDM systems will be destroyed. As a result intercarrier interference (ICI) is intro-
duced. ICI will degrade the performance of the system signi‾cantly. Thus, in order
to be a reliable communication system, some ICI mitigation schemes are important
to the system.
There are many ICI mitigation schemes. One technique is to design an equalizer.
By having an equalizer at the receiver, the ICI could be eRective suppressed. But the
computational complexity of the conventional zero-forcing (ZF) or minimum mean
square error (MMSE) equalizer will be high when the channel is time-varying. Sev-
eral low cost equalizers have been proposed in the literature. In particular, it was
shown [16] that most ICI comes from neighbor subcarriers. From this conclusion, a
reduced complexity equalizer, Q-tap equalizer, is proposed without sacri‾cing much
performance. To reduce the complexity of equalizer, another method is to add a time
domain window at the receiver [17]. The purpose of adding the time domain window
is to prone the channel response into a desired form. However, this idea does not
reduce additive channel noise, nor does it reduces interference from other subcarriers.
The result of performance seems to be less than satisfactory.
Presented in this thesis is a novel method of channel equalization, and ICI reduc-
tion based on the time domain window and Q-tap equalizer. By jointly designing the
window and Q-tap equalizer, the system can better reduce ICI and its performance
is greatly improved without a large computation. Besides, we also extend the time
domain window using banded matrix. Finally, Simulation results are provided to
demonstrate the performance of the proposed methods.
en
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Previous issue date: 2010
en
dc.description.tableofcontentsContents
List of Tables vii
List of Figures viii
Abstract xi
1 Introduction 1
2 Channel Model and Equalization in the OFDM System 7
2.1 Time-Varying Channel Model . . . . . . . . . . . . . . . . . . . . . . 8
2.1.1 The Channel Model as A Linear Time-Varying System . . . . 9
2.1.2 A Discrete Time Baseband Model . . . . . . . . . . . . . . . . 10
2.1.3 Characteristic of Time-Varying Channel . . . . . . . . . . . . 13
2.1.4 Statistical Channel Models . . . . . . . . . . . . . . . . . . . . 15
2.2 Introduction to OFDM Systems . . . . . . . . . . . . . . . . . . . . . 16
2.3 Equalization on OFDM System . . . . . . . . . . . . . . . . . . . . . 21
2.3.1 Equalization of Time-Invariant Channel . . . . . . . . . . . . 21
2.3.2 Equalization of Time-Varying Channel . . . . . . . . . . . . . 23
2.4 Effect of Time-Varying Channel on OFDM System Performance . . . 25
3 Review of ICI Mitigation Method for Time-Varying Channel on
OFDM System 29
3.1 Frequency Domain Equalizer: Q-tap Equalizer[16] . . . . . . . . . . . 30
3.2 Time Domain Windowing - Max-SINR ISI/ICI Shaping[17] . . . . . . 33
3.3 Simulation Results and Comparison . . . . . . . . . . . . . . . . . . . 36
4 Joint Time-Domain and Frequency-Domain Equalization for OFDM
Systems over Time-Varying Channels 43
4.1 Joint Design of Diagonal Time Domain Window and Q-tap Equalizer 44
4.2 Tx-Rx Time Domain Windows and Q-tap Equalizer . . . . . . . . . . 52
4.3 Extending the Time Domain Window into a Banded Structure . . . . 58
5 Conclusion 67
A Simulation Model 69
A.1 Multipath Fading Channel Model . . . . . . . . . . . . . . . . . . . . 70
A.2 Simulation Environment . . . . . . . . . . . . . . . . . . . . . . . . . 72
B Matrix Differentiation 75
B.1 Real Matrix and Properties . . . . . . . . . . . . . . . . . . . . . . . 76
B.2 Complex Matrices and Derivatives . . . . . . . . . . . . . . . . . . . . 79
Bibliography 81
List of Tables
2.1 A summary of the types of wireless channels and their de‾ning char-
acteristics. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.2 Power delay profile of the simulation channel . . . . . . . . . . . . . . 26
2.3 OFDM system parameters is used in this thesis. . . . . . . . . . . . . 26
3.1 Power delay profile of the simulation channel . . . . . . . . . . . . . . 37
3.2 OFDM system parameters is used in this thesis. . . . . . . . . . . . . 37
4.1 Power delay profile of the simulation channel . . . . . . . . . . . . . . 49
4.2 OFDM system parameters is used in this thesis. . . . . . . . . . . . . 49
4.3 fd = 0.032 and SNR=5, BER performance under different Ld and Lq. 64
4.4 fd = 0.032 and SNR=30, BER performance under different Ld and Lq. 64
4.5 fd = 0.064 and SNR=5, BER performance under different Ld and Lq. 66
4.6 fd = 0.064 and SNR=30, BER performance under different Ld and Lq. 66
A.1 Power delay profile of the simulation channel . . . . . . . . . . . . . . 73
A.2 OFDM system parameters is used in this thesis. . . . . . . . . . . . . 73
B.1 Derivatives of scalar functions of complex matrices. . . . . . . . . . . 80
List of Figures
2.1 Propagation scenario . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.2 The impulse response of the time-varying multipath channel model . 10
2.3 Sampling at multiples of Tb, x[n] can recovered without interference. . 12
2.4 Block diagram of OFDM system. . . . . . . . . . . . . . . . . . . . . 17
2.5 Multirate building block of P/S and S/P . . . . . . . . . . . . . . . . 18
2.6 An equivalent parallel-subchannel model for the OFDM system . . . 23
2.7 BER versus SNR of ZF equalizer for various fd. . . . . . . . . . . . . 27
2.8 BER versus SNR of MMSE equalizer for various fd. . . . . . . . . . . 27
3.1 The OFDM receiver with a Q-tap equalizer. . . . . . . . . . . . . . . 31
3.2 OFDM system after adding time domain window at Tx. . . . . . . . 33
3.3 Desired structure of windowed matrix Λ. . . . . . . . . . . . . . . . . 35
3.4 fd = 0.032 and 0.064, BER versus SNR with ZF Q-tap equalizer. . . . 38
3.5 fd = 0.032, D = 3 BER versus SNR with ZF Q-tap equalizer. . . . . . 39
3.6 fd = 0.064, D = 3 BER versus SNR with ZF Q-tap equalizer. . . . . . 39
3.7 fd = 0.032, D = 5 BER versus SNR with ZF Q-tap equalizer. . . . . . 41
3.8 fd = 0.064, D = 5 BER versus SNR with ZF Q-tap equalizer. . . . . . 41
3.9 The absolute value |Λij| of a banded channel matrix. . . . . . . . . . 42
3.10 The absolute value |Λ-1ij| of the inverse of the banded matrix in Fig.
3.9. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 42
4.1 JZF versus iteration. . . . . . . . . . . . . . . . . . . . . . . . . . . . 50
4.2 fd = 0.032, Compare the jointly design with separately design. BER
versus SNR with ZF Q-tap equalizer. . . . . . . . . . . . . . . . . . . 51
4.3 fd = 0.064, Compare the jointly design with separately design. BER
versus SNR with ZF Q-tap equalizer. . . . . . . . . . . . . . . . . . . 51
4.4 OFDM system with two time domain windows at Tx and Rx respectively. 52
4.5 JZF versus iteration (window at Tx and Rx). . . . . . . . . . . . . . . 56
4.6 fd = 0.032, compare the window at Tx and Rx with window at Rx
only. BER versus SNR with ZF Q-tap equalizer. . . . . . . . . . . . . 57
4.7 fd = 0.064, compare the window at Tx and Rx with window at Rx
only. BER versus SNR with ZF Q-tap equalizer. . . . . . . . . . . . . 57
4.8 fd = 0.032, BER vs. SNR complexity analysis. . . . . . . . . . . . . . 63
4.9 fd = 0.064, BER vs. SNR complexity analysis. . . . . . . . . . . . . . 63
4.10 fd = 0.032, BER vs. SNR complexity analysis. . . . . . . . . . . . . . 65
4.11 fd = 0.064, BER vs. SNR complexity analysis. . . . . . . . . . . . . . 65
A.1 Block diagram of the multipath channel . . . . . . . . . . . . . . . . . 70
A.2 Doppler shift at angles αn . . . . . . . . . . . . . . . . . . . . . . . . 71
dc.language.isoen
dc.subject通道間干擾zh_TW
dc.subject時變通道zh_TW
dc.subject等化器設計zh_TW
dc.subject正交分頻多工系統zh_TW
dc.subjecttime-varying channelen
dc.subjectICIen
dc.subjectOFDMen
dc.subjectequalizationen
dc.title正交分頻多工系統在時變通道下同時域與頻域之等化zh_TW
dc.titleJoint Time-Domain and Frequency-Domain Equalization for OFDM Systems over Time-Varying Channelsen
dc.typeThesis
dc.date.schoolyear98-2
dc.description.degree碩士
dc.contributor.oralexamcommittee蘇炫榮,蘇柏青,鍾元暉
dc.subject.keyword時變通道,等化器設計,正交分頻多工系統,通道間干擾,zh_TW
dc.subject.keywordtime-varying channel,equalization,OFDM,ICI,en
dc.relation.page83
dc.rights.note有償授權
dc.date.accepted2010-08-10
dc.contributor.author-college電機資訊學院zh_TW
dc.contributor.author-dept電信工程學研究所zh_TW
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