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研究生:賴世存
研究生(外文):Shih-Tsun Lai
論文名稱:在多輸入單輸出之色散通道環境下結合載波篩選之單載波頻域等化器
論文名稱(外文):Single-Carrier Frequency Domain Equalization Joint Carrier-Selection Over Dispersive MISO Channels
指導教授:吳燦明
指導教授(外文):Tsan-Ming Wu
學位類別:碩士
校院名稱:中原大學
系所名稱:電機工程研究所
學門:工程學門
學類:電資工程學類
論文種類:學術論文
論文出版年:2009
畢業學年度:97
語文別:英文
論文頁數:47
中文關鍵詞:載波篩選強制歸零/最小平方平均等化誤差現性等化器多輸入單輸出衰減通道單載波頻域等化器
外文關鍵詞:Carrier selectionSC-FDE fading channelsZF/MMSE linear equalizerMISO
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無線通訊系統在近幾年來被廣泛的研究,所需的資料傳輸速率也隨著時間不斷的再提升,因此多輸入- 多輸出(MIMO)系統被提出來增加資料傳輸速率,此系統是藉由傳送端和接收端的多根天線來增加資料傳輸速率。我們對於其中的多輸入-單輸出(MISO)系統詳加探討, 此系統常利用於無線下行傳輸, 即為配備多根天線的基地台(base station)傳輸資料到配備一根天線的無線用戶端。由於資料傳輸速率的增加,造成多重路徑的現象和符元間的相互干擾(ISI)變的更
加嚴重,因此需要等化器。
等化器通常在時域的情況下執行,然而伴隨著資料傳輸速率的增加, 時域等化器(TDE)的複雜度也同樣大幅提升,為了克服這個問題, 我們使用單載波頻域等化器(SC-FDE)。由於函數的摺積會隨著時域轉變成頻域後變成函數的相乘,因此頻域等化器所需的計算複雜度比時域等化器來的簡化許多。
此外在本篇論文中將討論多輸入單輸出的系統,我們在傳送端提出一個新的程序,載波篩選(CS),並且在接收端使用單載波頻域等化器經過色散的Nakagami-m 衰減通道,模擬結果顯示我們所提出的系統比其他沒有載波篩選或一般常見的系統改善許多,而且我們藉由不同的系統參數,去尋找降低系統錯誤率的極限值。此外, 有關頻域等化器,我們也將討論強制歸零(ZF) 和最小平方平均等化誤差(MMSE)
等化器這兩種等化器的特性。
The wireless communication systems have investigated over the recent years, the demand for data rates are more than before. Hence, the multiple input multiple output (MIMO) technique has been proposed to increase data rates by using several transmit and receive antennae. Of particular interset is multiple input single output (MISO) system where the base station (BS) equipped with multiple antennae sends its data to mobile units which possess a single receive antenna, which often employed in downlink mobile communications. However, in high data rate communications, the impacts of multipath propagation and intersymbol interference (ISI) have been increased and the resulting required equalizer.
The equalizer is generally performed in time domain. However, with growing data rates the complexity of time domain equalizer (TDE) structures increases hugely. A process to overcome this problem is using single carrier frequency domain equalizer (SC-FDE). Since the convolution sequence in the time domain translate into product under frequency domain. Therefore, the FDE has lower computational complexity
than TDE.
Beside, in this thesis, under the MISO system, we propose a novel design, the carrier selection (CS) in the transmit-end, and the SC-FDE is applied at the receiver-end over dispersive Nakagami-m fading channels. Simulation results reveal that our proposed scheme is much greater than that without CS and other conventional coun-
terparts and we find bit error rate (BER) performance limitation by various system parameters. Moreover, about the FDE, we will discuss the characterizations for two common strategies of the linear equalizer, zero-forcing (ZF) and minimum mean square error (MMSE).
Abstract(Chinese) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . i
Abstract(English) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ii
Acknowledgements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iii
List of Figures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vi
1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 Background . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.3 Overview of the Thesis . . . . . . . . . . . . . . . . . . . . . . . . . 3
2 The Previews of Single Carrier Frequency Domain Equalizer and Nakagami-m Fading Channels . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.2 Time Domain Equalizer . . . . . . . . . . . . . . . . . . . . . . . . . 4
2.3 Frequency Domain Equalizer . . . . . . . . . . . . . . . . . . . . . . . 5
2.4 Frequency Domain Equalizer with Single-Carrier and Multi-Carrier Modulation . . . . . . . . . . . . . .. . . . . . . . . . . . . . . . . . . . . . . . . 5
2.5 The Characteristics of ZF and MMSE Equalizer . . . . . . . . . . . . . . 9
2.6 Cyclic Prefix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2.7 Nakagami-m Fading Channels . . . . . . . . . . . . . . . . . . . . . . 11
3 Frequency Domain Equalizer with Single Carrier moduation combining Carrier-Selection Under MISO Dispersive Channels . . . . . . . . . . . . . . . . . 16
3.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16
3.2 System Description . . . . . . . . . . . . . . . . . . . . . . . . . . 18
3.3 ZF and MMSE Equalizers . . . . . . . . . . . . . . . . . . . . . . . . 21
3.4 Simulation Results . . . . . . . . . . . . . . . . . . . . . . . . . . 22
3.5 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
4 Conclusions and Future Researches . . . . . . . . . . . . . . . . . . . . 31
4.1 Conclusions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
4.2 Future Researches . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
Appendices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
A Derivation of Equation (3.16) . . . . . . . . . . . . . . . . . . . . . . . 37
A.1 Appendix . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 37
Vita . . . . . . . . . . . . . . . . . . . . . . . . . . . 40


List of Figures
2.1 Basic structure of (a) a single carrier and (b) a multi-carrier system. . 6
2.2 Block diagram of the (a) OFDM and (b) SC-FDE. . . . . . . . . . . . 7
2.3 Typical cyclic prefix. . . . . . . . . . . . . . . . . . . . . . . . . . . . 10
2.4 Nakagami-m density function for m = 0.5, 1, 2, and 5 with ­ = 1. . . 13
2.5 The power variation of the signal pass through the Rayleigh fading
channel (m = 1) in 1 second with a maximum Doppler shift of 15 Hz. 14
2.6 The power variation of the signal pass through the Rayleigh fading
channel (m = 1) in 1 second with a maximum Doppler shift of 120 Hz. 15
3.1 Block diagram of the SC-FDE with CS device under a MISO scenario. 19
3.2 The BER performance of different MISO scenarios with/without a CS
design and/or FDE over either the frequency-selective Rayleigh (m =
1) fading or AWGN channel. . . . . . . . . . . . . . . . . . . . . . . . 26
3.3 The BER performance of the MISO system with/without CS and/or
FDE in terms of various Nakagami-m fading figures. . . . . . . . . . . 27
3.4 The BER performance of the MISO system with/without CS and/or
FDE in terms of different q-ary QAM modulation over frequency-
selective Rayleigh (m = 1) fading channels. . . . . . . . . . . . . . . . 28
3.5 The BER performance of the CS-MISO-SC-FDE system with different
transmit antennae under frequency-selective Rayleigh fading channels
as q = 4. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.6 The BER performance of the CS-MISO-SC-FDE system with different
number of total MC over dispersive Rayleigh fading channels and using
4-QAM modulation. . . . . . . . . . . . . . . . . . . . . . . . . . . . 30
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