鐘嘉德臺灣大學：電信工程學研究所吳鎮丞Wu, Chen-ChengChen-ChengWu2007-11-272018-07-052007-11-272018-07-052006http://ntur.lib.ntu.edu.tw//handle/246246/58942在此篇論文中，將討論正交多工正交相位調變(orthogonally multiplexed orthogonal phase-modulation，簡稱OMOPM)的次載波間的相互干擾(intercarrier interference，簡稱ICI)以及在有頻率鍵移的情況下如何改善其效能，降低其錯誤率。利用平均載波干擾比(average carrier to interference power ratio)去研判整個次載波間相互干擾的嚴重程度，以利我們分析。首先，我們推導正交多工正交相位調變系統的整通道間相互干擾。接著，試著利用自我消除(self-cancellation )演算法去改善其效能，並推導此模型的錯誤率及平均載波干擾比，再跟原來的正交多工正交相位調變系統做比較，最後利用迴路試著更進一步的減少其錯誤率在有頻率鍵移的情況之下。In this thesis, we will discuss the intercarrier interference (ICI) on the orthogonally multiplexed orthogonal phase-modulation (OMOPM) and how to modify the signal model to decrease the ICI problem in order to combat Doppler effect. We use the average carrier to interference power ratio (CIR) as the ICI level indicator.First, we derive the theoretical OMOPM's CIR expression, and then we change OMOPM's parameter am with L to observe the CIR scheme is called DP-OMOPM.Second, we propose ISC-OMOPM's signal in order to reduce ICI effect, and then we decrease the bit-rate to improve the CIR performance. Third, we show some bit error rate (BER) derivation and simulations in additive white Gaussian noise (AWGN) and frequency offset conditions. Eventually, we summarize our results in our conclusion.Contents I List of Figures III List of Tables VI 1 Introduction 1 1.1 Fundamental concepts of OMOPM signal . . . . . . . . . . . . . . . 1 1.2 Motivations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 2 The model of OMOPM Signals 3 2.1 The OMOPM signal model . . . . . . . . . . . . . . . . . . . . . . . 3 3 ICI analyses 8 3.1 ICI Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 3.1.1 ICI and CIR introduction . . . . . . . . . . . . . . . . . . . 8 3.1.2 Bandwidth E±ciency . . . . . . . . . . . . . . . . . . . . . . 9 3.2 The ICI of the received OMOPM signals . . . . . . . . . . . . . . . 11 3.2.1 The equation of ICI and CIR on OMOPM signals . . . . . . 11 3.2.2 Numerical analyses of CIR on OMOPM signals . . . . . . . 16 3.3 The ICI of the received DP-OMOPM signals . . . . . . . . . . . . 21 3.3.1 The equation of ICI and CIR on DP-OMOPM signals . . . . 22 3.3.2 Numerical analyses of CIR on DP-OMOPM signals . . . . . 23 3.4 The ICI of the received ISC-OMOPM signals . . . . . . . . . . . . 27 3.4.1 The equation of ICI and CIR in ISC-OMOPM signals . . . . 28 3.4.2 Numerical analyses of CIR on ISC-OMOPM signals . . . . . 31 3.5 Discussion the three kinds of OMOPM signals . . . . . . . . . . . . 37 4 BER analyses 40 4.1 The BER of ISC-OMOPM signals on AWGN . . . . . . . . . . . . . 40 4.1.1 The derivation of the BER . . . . . . . . . . . . . . . . . . . 40 4.1.2 The numerical analyses and simulations . . . . . . . . . . . . 43 4.1.3 The spectral properties of ISC-OMOPM signals . . . . . . . 43 4.2 The BER analyses on AWGN and frequency offset . . . . . . . . . . 48 4.2.1 The BER of OMOPM signals . . . . . . . . . . . . . . . . . 48 4.2.2 The BER of ISC-OMOPM signals . . . . . . . . . . . . . . . 50 4.2.3 compared the BER between OMOPM and ISC-OMOPM with frequency offset . . . . . . . . . . . . . . . . . . . . . . 53 4.2.4 The reason which the BER of ISC-OMOPM signals has bet- ter performance than OMOPM . . . . . . . . . . . . . . . . 58 4.3 Reduction of the BER with frequency offset . . . . . . . . . . . . . 59 5 Conclusion 64 List of Figures 2.1 The structure of K . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 The structure of am in one intersymbol . . . . . . . . . . . . . . . . 7 2.3 The structure of L in one supersymbol . . . . . . . . . . . . . . . . 7 2.4 The structure of M in one OMOPM signal . . . . . . . . . . . . . . 7 3.1 signal with no frequency offsets . . . . . . . . . . . . . . . . . . . . 10 3.2 signal with frequency offsets . . . . . . . . . . . . . . . . . . . . . . 10 3.3 CIR in OMOPM signals with L changed . . . . . . . . . . . . . . . 17 3.4 CIR in OMOPM signals with M changed . . . . . . . . . . . . . . . 18 3.5 CIR in OMOPM signals with ML ‾xed . . . . . . . . . . . . . . . . 18 3.6 CIR in OMOPM signals with N changed . . . . . . . . . . . . . . . 19 3.7 CIR in OMOPM signals with BE = 1 . . . . . . . . . . . . . . . . . 20 3.8 The structure of one supersymbol of DP-OMOPM signals . . . . . . 21 3.9 CIR in DP-OMOPM signals with L changed . . . . . . . . . . . . . 24 3.10 CIR in DP-OMOPM signals with M changed . . . . . . . . . . . . 24 3.11 CIR in DP-OMOPM signals with ML ‾xed . . . . . . . . . . . . . 25 3.12 CIR in DP-OMOPM signals with N changed . . . . . . . . . . . . . 26 3.13 CIR in DP-OMOPM signals with BE = 1 . . . . . . . . . . . . . . 26 3.14 The structure of one supersymbol of ISC-OMOPM signals . . . . . 28 3.15 CIR on ISC-OMOPM signals with K changed . . . . . . . . . . . . 31 3.16 CIR on ISC-OMOPM signals with L changed . . . . . . . . . . . . 32 3.17 CIR on ISC-OMOPM signals with M changed . . . . . . . . . . . . 33 III 3.18 CIR on ISC-OMOPM signals with ML ‾xed . . . . . . . . . . . . . 34 3.19 CIR on ISC-OMOPM signals with N changed . . . . . . . . . . . . 34 3.20 CIR on ISC-OMOPM signals with BE = 0:5 . . . . . . . . . . . . . 35 3.21 CIR on ISC-OMOPM signals with BE = 1 . . . . . . . . . . . . . . 36 3.22 CIR on am = 4 of all signals . . . . . . . . . . . . . . . . . . . . . . 37 3.23 CIR on am = 2 of all signals . . . . . . . . . . . . . . . . . . . . . . 38 3.24 CIR on BE = 1 of all signals . . . . . . . . . . . . . . . . . . . . . 38 4.1 BER of ISC-OMOPM schemes with L = 1 and NC = 8 . . . . . . . 44 4.2 BER of ISC-OMOPM schemes with L = 2 and NC = 8 . . . . . . . 44 4.3 BER of ISC-OMOPM schemes with L = 4 and NC = 8 . . . . . . . 45 4.4 PSDs of OMOPM and ISC-OMOPM signals . . . . . . . . . . . . . 46 4.5 Fractional out-of-band power containment for BE = 0.13 ~ 0.5 . . . 47 4.6 Fractional out-of-band power containment for BE = 0.75 ~ 2 . . . . 47 4.7 BER of (64; 8; 2; 4) OMOPM schemes with the frequency offset . . . 51 4.8 BER of (64; 8; 2; 8) OMOPM schemes with the frequency offset . . . 51 4.9 BER of (64; 8; 4; 4) OMOPM schemes with the frequency offset . . . 52 4.10 BER of (64; 8; 2; 2) ISC-OMOPM schemes . . . . . . . . . . . . . . 53 4.11 BER of (64; 8; 2; 4) ISC-OMOPM schemes . . . . . . . . . . . . . . 54 4.12 BER of (64; 8; 4; 2) ISC-OMOPM schemes . . . . . . . . . . . . . . 54 4.13 BER of OMOPM and ISC-OMOPM schemes . . . . . . . . . . . . 55 4.14 BER of OMOPM and ISC-OMOPM schemes . . . . . . . . . . . . 55 4.15 BER of OMOPM and ISC-OMOPM schemes . . . . . . . . . . . . 56 4.16 BE to ε on condition of γb = 10 dB . . . . . . . . . . . . . . . . . 57 4.17 BE to ε on condition of γb = 15 dB . . . . . . . . . . . . . . . . . 57 4.18 BE to ε on condition of γb = 25 dB . . . . . . . . . . . . . . . . . 58 4.19 The BER of (64; 16; 1; 4) ISC-OMOPM with feedback . . . . . . . . 60 4.20 The BER of (64; 8; 2; 4) ISC-OMOPM with feedback . . . . . . . . 61 4.21 The BER of (64; 4; 4; 4) ISC-OMOPM with feedback . . . . . . . . 62 IV 4.22 The BER of (64; 2; 8; 4) ISC-OMOPM with feedback . . . . . . . . 62 4.23 The BER of (64; 4; 4; 8) OMOPM and ISC-OMOPM with feedback 63 List of Tables 2.1 The Ω­­2 sets and Lowpass PSD of Unit-power OMOPM Signals . . . 6 3.1 The BE value of (N, N/4, 1, K) for ISC-OMOPM . . . . . . . . . . . 37984304 bytesapplication/pdfen-US次載波間相互干擾平均載波干擾比正交多工正交相位調變ICICIROMOPMthesishttp://ntur.lib.ntu.edu.tw/bitstream/246246/58942/1/ntu-95-R93942088-1.pdf