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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 蘇柏青(Borching Su) | |
| dc.contributor.author | Yi-Hsiu Lin | en |
| dc.contributor.author | 林奕秀 | zh_TW |
| dc.date.accessioned | 2022-11-24T03:34:19Z | - |
| dc.date.available | 2021-08-06 | |
| dc.date.available | 2022-11-24T03:34:19Z | - |
| dc.date.copyright | 2021-08-06 | |
| dc.date.issued | 2021 | |
| dc.date.submitted | 2021-08-04 | |
| dc.identifier.citation | [1] B. Farhang-Boroujeny, 'OFDM Versus Filter Bank Multicarrier,' in IEEE Signal Processing Magazine, vol. 28, no. 3, pp. 92-112, May 2011. [2] R. Nissel, S. Schwarz and M. Rupp, 'Filter Bank Multicarrier Modulation Schemes for Future Mobile Communications,' in IEEE Journal on Selected Areas in Communications, vol. 35, no. 8, pp. 1768-1782, Aug. 2017. [3] J. Kim, Y. Park, S. Weon, J. Jeong, S. Choi and D. Hong, 'A New Filter-Bank Multicarrier System: The Linearly Processed FBMC System,' in IEEE Transactions on Wireless Communications, vol. 17, no. 7, pp. 4888-4898, July 2018. [4] J. Nadal, C. A. Nour and A. Baghdadi, 'Design and Evaluation of a Novel Short Prototype Filter for FBMC/OQAM Modulation,' in IEEE Access, vol. 6, pp. 19610-19625, 2018. [5] S. -M. Phoong, Yubing Chang and Chun-Yang Chen, 'DFT-modulated filterbank transceivers for multipath fading channels,' in IEEE Transactions on Signal Processing, vol. 53, no. 1, pp. 182-192, Jan. 2005. [6] T. Hung, 'Biorthogonal Partners Filters and Their Applications in Communications,' Master's Thesis, July 2006. [7] C. Pai, T. Hung and S. -M. Phoong, 'Depth-$L$ Nyquist($M$) Filters and Biorthogonal Partners,' in IEEE Access, vol. 8, pp. 75512-75522, Apr. 2020. [8] Dattorro, Jon., Convex optimization and Euclidean distance geometry. Meboo Publishing, 2016. [9] P. P. Vaidyanathan, Multirate Systems and Filter Banks. London, U.K.: Pearson, 2006. [10] Y. P. Lin, S. M. Phoong, and P. P. Vaidyanathan, Filter Bank Transceivers for OFDM and DMT Systems. Cambridge, U.K.: Cambridge Univ. Press, 2011. [11] P. P. Vaidyanathan and B. Vrcelj, 'Biorthogonal partners and applications,' in IEEE Transactions on Signal Processing, vol. 49, no. 5, pp. 1013-1027, May 2001. [12] Y. Nesterov, 'Semidefinite relaxation and nonconvex quadratic optimization,' in Optimization Methods and Software, vol. 9, no. 1-3, p. 141-160, 1998. [13] R. T. Kobayashi and T. Abrão, 'FBMC Prototype Filter Design via Convex Optimization,' in IEEE Transactions on Vehicular Technology, vol. 68, no. 1, pp. 393-404, Jan. 2019. [14] Y. T. Wu, D. Chen, and T. Jiang, “Efficient branch and bound algorithms for prototype filter optimization in OQAM-OFDM systems,” International Journal of Communication Systems, vol. 30, no. 5, 2017. [15] D. Chen, D. Qu, T. Jiang and Y. He, 'Prototype Filter Optimization to Minimize Stopband Energy With NPR Constraint for Filter Bank Multicarrier Modulation Systems,' in IEEE Transactions on Signal Processing, vol. 61, no. 1, pp. 159-169, Jan.1, 2013. [16] R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 2012. [17] Michael Grant and Stephen Boyd. CVX: Matlab software for disciplined convex programming, version 2.0 beta. http://cvxr.com, September 2013. | |
| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/81173 | - |
| dc.description.abstract | "近年來，由於濾波器組多載波（Filter Bank Multicarrier, FBMC）系統具有低帶外發射（Out-of-Band Emission, OoBE），因此被推出來替代正交分頻多工（Orthogonal Frequency Division Multiplexing, OFDM）系統。然而，濾波器組多載波系統在頻率選擇性通道（Frequency-Selective Channel）下會受到符元間干擾（Inter-Symbol Interference, ISI）的影響，使得接收端需使用比較複雜的等化器（Equalizer）。因此，過去很多研究探討利用深度正交對（Depth-L Biorthogonal Partners）濾波器在頻率選擇性通道下的濾波器組多載波系統中透過簡單的一階等化器（One-tap Equalizer）達到無符元間干擾的傳輸，並且提出多種深度正交對濾波器的設計方法。本論文提出了兩個設計深度正交對低通濾波器的方法使得系統的訊號雜訊比（Signal-to-Noise Ratio, SNR）被最大化。再者，我們提出的設計方法1針對濾波器的阻帶能量（Stopband Energy）有功率限制以更好地抑制射頻干擾（Radio Frequency Interference, RFI），而我們提出的設計方法2針對濾波器的阻帶（Stopband）中的峰值能量有功率限制以減少對濾波器的通帶（Passband）的干擾。此外，我們利用半正定放寬（Semidefinite Relaxation, SDR），結合Dattorro等人所提出的一個迭代演算法，來解決我們設計濾波器的問題。模擬結果顯示，我們提出的設計方法1是在濾波器的阻帶能量及系統的位元錯誤率（Bit Error Rate, BER）間進行權衡取捨，而我們提出的設計方法2是在濾波器的阻帶中的峰值能量及系統的位元錯誤率間進行權衡取捨" | zh_TW |
| dc.description.provenance | Made available in DSpace on 2022-11-24T03:34:19Z (GMT). No. of bitstreams: 1 U0001-0308202113104300.pdf: 3413447 bytes, checksum: 37a44a2100c538cc176d4f01da7c770c (MD5) Previous issue date: 2021 | en |
| dc.description.tableofcontents | 誌謝 (P.i) 摘要 (P.ii) Abstract (P.iii) Contents (P.iv) List of Figures (P.vii) List of Tables (P.ix) 1. Introduction (P.1) 1.1 Introduction (P.2) 1.2 Related Works (P.2) 1.3 Motivation (P.3) 1.4 Contribution(P.3) 1.5 Notation (P.4) 2. System Model and Background Knowledge (P.5) 2.1 System Model (P.6) 2.2 Input-Output Relation (P.7) 2.3 Depth-L Nyquist(M) Filters and Biorthogonal Partners (P.7) 2.3.1 Definitions of Depth-L Nyquist(M) Filters and Biorthogonal Partners (P.7) 2.3.2 Connection of Depth-L Biorthogonal Partners with ISI-Free Transmission in FBMC Systems under Frequency-Selective Channels (P.9) 2.3.3 Mathematical Formulation of Depth-L Biorthogonal Partner Filters (P.10) 2.3.4 Stopband Energy and Peak Power in the Stopband Region of Depth-L Biorthogonal Partner Filters (P.13) 2.4 Signal-to-Noise Ratio (SNR) (P.15) 2.5 Equalizer (P.17) 3. Previous Works (P.18) 3.1 SNR-Optimized Method (P.19) 3.2 Eigenfilter Method (P.19) 4. Problem Formulation and Proposed Method (P.22) 4.1 Proposed Method 1: Power Constraint on Stopband Energy of the Designed Filter (P.23) 4.2 Proposed Method 2: Power Constraint on Peak Power in the Stopband Region of the Designed Filter (P.26) 5. Simulation Results (P.29) 5.1 Simulation of the Proposed Method 1 (P.30) 5.1.1 Magnitude Responses of Depth-L Biorthogonal Partner Low-Pass Filters (P.31) 5.1.2 BER Performance of single sub-channel FBMC systems under 3-tap FIR Channel (P.34) 5.1.3 Concluding Remarks (P.37) 5.2 Simulation of the Proposed Method 2 (P.37) 5.2.1 Magnitude Responses of Depth-L Biorthogonal Partner Low-Pass Filters (P.38) 5.2.2 BER Performance of single sub-channel FBMC systems under 3-tap FIR Channel (P.42) 5.2.3 Concluding Remarks (P.45) 6. Conclusion and Future Work (P.46) 6.1 Conclusion (P.47) 6.2 Future Work (P.47) Appendix A: Derivation of the Definition of Depth-L Biorthogonal Partners (P.48) Appendix B: Design of the Transmitting Filter using Eigenfilter Method (P.51) Appendix C: Derivation of the Upper Bound of n in Equation (2.25) (P.56) Appendix D: Derivation of the Matrix Γc defined in the Equation (2.65) (P.58) Appendix E: Design of the Additional Equalizers (P.60) Bibliography (P.63) | |
| dc.language.iso | en | |
| dc.subject | 半正定放寬 | zh_TW |
| dc.subject | 深度正交對濾波器 | zh_TW |
| dc.subject | 濾波器組多載波系統 | zh_TW |
| dc.subject | 阻帶衰減 | zh_TW |
| dc.subject | 凸函數最佳化 | zh_TW |
| dc.subject | filter bank multicarrier (FBMC) | en |
| dc.subject | semidefinite relaxation (SDR) | en |
| dc.subject | convex optimization | en |
| dc.subject | stopband attenuation | en |
| dc.subject | depth-L biorthogonal partners | en |
| dc.title | 濾波器組多載波系統中使用半正定放寬之具深度正交對濾波器設計 | zh_TW |
| dc.title | Design of Depth-L Biorthogonal Partners Filters in Filter Bank Multicarrier Systems using Semidefinite Relaxation | en |
| dc.date.schoolyear | 109-2 | |
| dc.description.degree | 碩士 | |
| dc.contributor.oralexamcommittee | 馮世邁(Hsin-Tsai Liu),劉俊麟(Chih-Yang Tseng) | |
| dc.subject.keyword | 深度正交對濾波器,濾波器組多載波系統,阻帶衰減,凸函數最佳化,半正定放寬, | zh_TW |
| dc.subject.keyword | depth-L biorthogonal partners,filter bank multicarrier (FBMC),stopband attenuation,convex optimization,semidefinite relaxation (SDR), | en |
| dc.relation.page | 64 | |
| dc.identifier.doi | 10.6342/NTU202102036 | |
| dc.rights.note | 同意授權(限校園內公開) | |
| dc.date.accepted | 2021-08-05 | |
| 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 |
| 顯示於系所單位： | 電信工程學研究所 | |
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