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  1. NTU Theses and Dissertations Repository
  2. 工學院
  3. 工程科學及海洋工程學系
請用此 Handle URI 來引用此文件: http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/101756
完整後設資料紀錄
DC 欄位值語言
dc.contributor.advisor陳昭宏zh_TW
dc.contributor.advisorJau-Horng Chenen
dc.contributor.author葉世丰zh_TW
dc.contributor.authorShih-Feng Yehen
dc.date.accessioned2026-03-04T16:19:12Z-
dc.date.available2026-03-05-
dc.date.copyright2026-03-04-
dc.date.issued2026-
dc.date.submitted2026-02-14-
dc.identifier.citation[1] S. C. Cripps, RF Power Amplifiers for Wireless Communications. Artech House, 2nd ed., 2006.
[2] F. M. Ghannouchi and O. Hammi, “Behavioral modeling and predistortion,” IEEE Microwave Magazine, vol. 10, pp. 52–64, Dec 2009.
[3] W.Bosch and G.Gatti,“Measurement and simulation of memory effects in predistortion linearizers,” IEEE Transactions on Microwave Theory and Techniques, vol. 37, pp. 1885–1890, Dec 1989.
[4] J. Vuolevi and T. Rahkonen, Distortion in RF Power Amplifiers. Artech House, 2003.
[5] L. Ding, G. T. Zhou, D. R. Morgan, Z. Ma, J. S. Kenney, J. Kim, and C. R. Giardina, “A robust digital baseband predistorter constructed using memory polynomials,” IEEE Transactions on Communications, vol. 52, pp. 159–165, Jan 2004.
[6] B. Widrow and M.E.Hoff, “Adaptive switching circuits,” in IRE WESCON convention record, vol. 4, pp. 96–104, New York, 1960.
[7] G. Norris, J. Staudinger, and J.-H. Chen, “Systems, apparatus, and methods for performing digital pre-distortion with feedback signal adjustment,” nov 2011. US Patent 8,068,574 B2.
[8] A. V. Oppenheim and R. W. Schafer, Discrete-Time Signal Processing. Pearson, 2010.
[9] G. Montoro, P. L. Gilabert, J. Garcia, and E. Bertran, “A new approach for time alignment of the measurements in power amplifier characterization,” IEEE Transactions on Microwave Theory and Techniques, vol. 55, pp. 2626–2632, Dec 2007.
[10] S. W.Ellingson, “Correcting i-q imbalance in direct conversion receivers,” technical report, ElectroScience Laboratory, The Ohio State University, February 2003.
[11] J. E. Volder, “The cordic trigonometric computing technique,” IRE Transactions on Electronic Computers, vol. EC-8, pp. 330–334, Sept 1959.
[12] R. Andraka, “A survey of cordic algorithms for fpga based computers,” in 1998 ACM/SIGDA sixth international symposium on Field programmable gate arrays, pp. 191–200, ACM, 1998.
[13] AMD, “Zynq-7000 SoC Data Sheet: Overview (DS190).” https://www.mouser.tw/datasheet/2/903/ds190-Zynq-7000-Overview-1595492.pdf. [Online; accessed 18-May-2025].
[14] Analog Devices, “AD-FMCOMMS1-EBZ Functional Overview.” https://wiki.analog.com/resources/eval/user-guides/ad-fmcomms1-ebz/hardware/functional_overview, 2012. [Accessed: 14-Dec-2025].
[15] S. S. Wadkar, B. P. Das, and P. K. Meher, “Low latency scaling-free pipeline cordic architecture using augmented taylor series,” in 2019 IEEE International Symposium on Smart Electronic Systems (iSES), pp. 312–315, 2019.
[16] K. Li, H. Fang, Z. Ma, F. Yu, B. Zhang, and Q. Xing, “A low-latency CORDIC algorithm based on pre-rotation and its application on computation of arctangent function,” Electronics, vol. 13, no. 12, p. 2338, 2024.
[17] E. Antelo, J. Villalba, J. D. Bruguera, and E. L. Zapata, “High performance rotation architectures based on the radix-4 cordic algorithm,” IEEE Transactions on Computers, vol. 46, pp. 855–870, Aug 1997.
[18] Y. Parmar and K. Sridharan, “Precomputation-based radix-4 cordic for approximate rotations and hough transform,” IET Circuits, Devices & Systems, vol. 12, no. 4, pp. 435–442, 2018.
[19] D. S. Phatak, “Double step branching cordic: A new algorithm for fast sine and cosine generation,” IEEE Transactions on Computers, vol. 47, pp. 587–602, May 1998.
[20] R.Shukla and K.C.Ray,“Low latency hybrid cordic algorithm,” IEEE Transactions on Computers, vol. 63, pp. 3066–3078, Dec 2014.
[21] N.Bai, R.Qu, Y.Xu, Y.Wang, X.Chen, and L.Li, “Low-iteration hybrid computing cordic architecture,” Microelectronics Journal, vol. 156, p. 106481, 2025.
[22] M. Qin, T. Liu, B. Hou, Y. Gao, Y. Yao, and H. Sun, “A low-latency rdp-cordic algorithm for real-time signal processing of edge computing devices in smart grid cyber-physical systems,” Sensors, vol. 22, no. 19, p. 7489, 2022.
[23] T.Supe, “Super cordic: Low delay cordic architectures for computing complex functions,” master’s thesis, Georgia Institute of Technology, 2015.
[24] D. Timmermann, H. Hahn, and B. Hosticka, “A low latency time cordic algorithm with increased parallelism,” in Proceedings of the 16th European Solid-State Circuits Conference (ESSCIRC), pp. 145–148, Sep 1990.
[25] M.Garrido, P.Källström, M.Kumm, and O.Gustafsson,“Cordic ii: A new improved cordic algorithm,” IEEE Transactions on Circuits and Systems II: Express Briefs, vol. 63, pp. 186–190, Feb 2016.
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dc.identifier.urihttp://tdr.lib.ntu.edu.tw/jspui/handle/123456789/101756-
dc.description.abstract隨著第五代行動通訊(5GNR)技術的演進,寬頻訊號傳輸已成為主流,然而功率放大器(PowerAmplifier, PA) 在寬頻操作下所產生的非線性失真與記憶效應(memory effects),嚴重影響了通訊系統的傳輸品質。傳統的數位預失真(Digital Pre-Distortion, DPD) 技術多採用運算複雜度高的記憶模型以補償動態非線性,但這也帶來了龐大的硬體資源消耗與系統延遲。
針對上述問題,本研究旨在於FPGA平台上設計並實作一套具備極低延遲架構的實時數位預失真系統。核心設計理念為「以低延遲架構換取預失真模型之簡化並提升系統效能」,採用基於查找表(Look-UpTable,LUT)的無記憶模型,並結合「雙相位旋轉」技術簡化最小均方(LMS)演算法,以及優化CORDIC硬體架構,大幅降低了回授迴路的運算延遲。本研究假說為:透過極致的低延遲與快速係數更新,系統應能具備更佳的動態追蹤能力,以補償部分記憶效應,提升預失真系統之效能表現。
實驗結果顯示,在20MHz頻寬的5GNR訊號測試中,本系統展現卓越的線性化效能,鄰近通道洩漏比(ACLR)改善幅度達到近15dB。而在160MHz超寬頻訊號測試下,雖受限於無記憶模型之物理極限,系統仍能維持穩定運作並提供一定程度之線性度改善。此外,透過與模擬高延遲系統的交叉比對,證實了本研究提出之低延遲優化架構,在大幅節省運算時間(約20個時脈週期)的同時,展現出比原始架構更優異的線性化效能與系統穩健性。本研究成果驗證了輕量化低延遲DPD架構在實現高效能、低成本通訊終端上的可行性。
zh_TW
dc.description.abstractWith the evolution of Fifth Generation New Radio (5G NR) technology, wideband signal transmission has become mainstream. However, the nonlinear distortion and memory effects induced by Power Amplifiers (PA) under wideband operation severely degrade the transmission quality of communication systems. Traditional Digital Pre-Distortion (DPD)techniques often employ computationally complex memory models to compensate for dynamic nonlinearity, yet this results in significant hardware resource consumption and system latency.
To address the aforementioned issues, this study aims to design and implement a real-time digital pre-distortion system with an ultra-low latency architecture on an FPGA platform. The core design philosophy involves ”trading low-latency architecture for the simplification of the pre-distortion model and the enhancement of system performance.” The system adopts a Look-Up Table (LUT)-based memoryless model, incorporates a ”dual-phase rotation” technique to simplify the Least Mean Squares (LMS) algorithm, and optimizes the CORDIC hardware architecture, thereby significantly reducing the computational latency of the feedback loop. This study hypothesizes that through extreme low latency and rapid coefficient updates, the system can achieve superior dynamic tracking capabilities to compensate for partial memory effects, thus enhancing the overall DPD performance.
Experimental results demonstrate that the proposed system exhibits excellent linearization performance in 20 MHz 5G NR signal tests, achieving an Adjacent Channel Leakage Ratio (ACLR) improvement of nearly 15 dB. In 160 MHz ultra-wideband tests, although limited by the physical constraints of the memoryless model, the system maintains stable operation and provides a certain degree of linearity improvement. Furthermore, a comparative analysis with a simulated high-latency system confirms that the proposed low-latency optimized architecture not only significantly reduces computational time (by approximately 20 clock cycles) but also demonstrates superior linearization performance and system robustness compared to the baseline architecture. These results validate the feasibility of a lightweight, low-latency DPD architecture for realizing high performance and low-cost communication terminals.
en
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dc.description.tableofcontents致謝 i
摘要 ii
英文摘要 iv
目次 vi
圖次 xi
表次 xiv
縮寫列表 xv
第一章 緒論 1
1.1 研究背景. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1
1.2 研究動機. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.3 研究目標. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2
1.4 論文架構. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
第二章 文獻回顧及背景原理介紹 5
2.1 功率放大器非線性特性與模型. . . . . . . . . . . . . . . . . . . . . 5
2.1.1 功率放大器介紹. . . . . . . . . . . . . . . . . . . . . . . . . . . 6
2.1.2 PA非線性失真特性. . . . . . . . . . . . . . . . . . . . . . . . . 6
2.1.3 記憶效應(Memory Effects) . . . . . . . . . . . . . . . . . . . . . 8
2.1.4 功率放大器行為模型. . . . . . . . . . . . . . . . . . . . . . . . 8
2.1.4.1 無記憶模型(Memoryless Models) . . . . . . . . . . . 9
2.1.4.2 記憶模型(Models with Memory). . . . . . . . . . . . 9
2.2 數位預失真原理(Principles of Digital Predistortion) . . . . . . . . . . 11
2.2.1 原理介紹. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11
2.2.2 基於查找表之預失真架構. . . . . . . . . . . . . . . . . . . . . . 12
2.2.3 線性內插法(Linear Interpolation) . . . . . . . . . . . . . . . . . . 12
2.2.4 最小均方演算法(Least Mean Squares Algorithm) . . . . . . . . . 13
2.2.5 基於雙相位旋轉之簡化LMS演算法. . . . . . . . . . . . . . . . 14
2.3 訊號校正與同步技術. . . . . . . . . . . . . . . . . . . . . . . . . . 15
2.3.1 訊號同步(Signal Synchronization) . . . . . . . . . . . . . . . . . 15
2.3.2 分數延遲估測(Fractional Delay Estimation) . . . . . . . . . . . . 16
2.3.3 線性增益估測與補償. . . . . . . . . . . . . . . . . . . . . . . . 17
2.3.4 相位補償估算. . . . . . . . . . . . . . . . . . . . . . . . . . . . 18
2.4 I/Q不平衡校正(I/Q Imbalance Calibration). . . . . . . . . . . . . . . 19
2.4.1 I/Q不平衡訊號模型. . . . . . . . . . . . . . . . . . . . . . . . . 19
2.4.2 校正演算法與參數估測. . . . . . . . . . . . . . . . . . . . . . . 20
2.5 CORDIC演算法原理. . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.5.1 演算法推導. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 22
2.5.2 旋轉模式(Rotation Mode) . . . . . . . . . . . . . . . . . . . . . . 23
2.5.3 向量模式(Vectoring Mode) . . . . . . . . . . . . . . . . . . . . . 24
2.6 本章總結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 24
第三章 數位預失真系統設計與實作 26
3.1 硬體平台. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.1.1 系統建置平台. . . . . . . . . . . . . . . . . . . . . . . . . . . . 26
3.1.2 射頻系統模組. . . . . . . . . . . . . . . . . . . . . . . . . . . . 28
3.2 FPGA系統架構概述. . . . . . . . . . . . . . . . . . . . . . . . . . . 29
3.2.1 系統設計目標與需求. . . . . . . . . . . . . . . . . . . . . . . . 29
3.2.2 FPGA系統架構. . . . . . . . . . . . . . . . . . . . . . . . . . . 30
3.2.3 FMCOMMS1系統架構. . . . . . . . . . . . . . . . . . . . . . . 31
3.3 FPGA模組設計. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34
3.3.1 PS Core模組設計. . . . . . . . . . . . . . . . . . . . . . . . . . 34
3.3.1.1 I/Q不平衡校正流程. . . . . . . . . . . . . . . . . . 35
3.3.1.2 硬體校正電路實作. . . . . . . . . . . . . . . . . . . 38
3.3.1.3 資料對齊流程. . . . . . . . . . . . . . . . . . . . . . 41
3.3.1.4 資料對齊硬體實作. . . . . . . . . . . . . . . . . . . 43
3.3.1.5 動態訊號源切換電路設計. . . . . . . . . . . . . . . 47
3.3.1.6 資料擷取模組設計. . . . . . . . . . . . . . . . . . . 51
3.3.1.7 小結. . . . . . . . . . . . . . . . . . . . . . . . . . . 53
3.3.2 TX Module設計. . . . . . . . . . . . . . . . . . . . . . . . . . . 54
3.3.2.1 硬體電路模組實作. . . . . . . . . . . . . . . . . . . 55
3.3.3 RX Module設計. . . . . . . . . . . . . . . . . . . . . . . . . . . 58
3.3.3.1 硬體電路模組實作. . . . . . . . . . . . . . . . . . . 60
3.4 本章總結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64
第四章 演算法優化與低延遲系統實作 65
4.1 基於增強型泰勒級數之CORDIC模組設計. . . . . . . . . . . . . . 65
4.1.1 傳統CORDIC演算法瓶頸. . . . . . . . . . . . . . . . . . . . . 65
4.1.2 現有低延遲優化技術與演算法探討. . . . . . . . . . . . . . . . 67
4.1.3 演算法原理介紹. . . . . . . . . . . . . . . . . . . . . . . . . . . 69
4.1.4 硬體架構設計與實作. . . . . . . . . . . . . . . . . . . . . . . . 74
4.2 基於預旋轉機制之同步旋轉CORDIC模組設計. . . . . . . . . . . 81
4.2.1 預旋轉演算法之選用考量. . . . . . . . . . . . . . . . . . . . . . 81
4.2.2 演算法原理介紹. . . . . . . . . . . . . . . . . . . . . . . . . . . 83
4.2.3 硬體架構設計與實作. . . . . . . . . . . . . . . . . . . . . . . . 89
4.3 基於奇偶映射之無衝突查找表讀取機制. . . . . . . . . . . . . . . . 92
4.3.1 硬體限制與傳統緩衝架構分析. . . . . . . . . . . . . . . . . . . 92
4.3.2 奇偶映射查找表架構設計. . . . . . . . . . . . . . . . . . . . . . 93
4.4 本章總結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95
第五章 實驗結果與討論 97
5.1 靜態非線性失真量測分析. . . . . . . . . . . . . . . . . . . . . . . . 97
5.1.1 實驗環境配置. . . . . . . . . . . . . . . . . . . . . . . . . . . . 97
5.1.2 LUT深度影響量測. . . . . . . . . . . . . . . . . . . . . . . . . . 99
5.1.3 數位預失真效能量測. . . . . . . . . . . . . . . . . . . . . . . . 103
5.1.4 低延遲系統優化量測比較. . . . . . . . . . . . . . . . . . . . . . 108
5.1.5 小結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
5.2 動態非線性失真量測分析. . . . . . . . . . . . . . . . . . . . . . . . 113
5.2.1 實驗環境配置. . . . . . . . . . . . . . . . . . . . . . . . . . . . 113
5.2.2 寬頻訊號量測結果分析. . . . . . . . . . . . . . . . . . . . . . . 115
5.2.2.1 多頻寬訊號頻譜量測結果. . . . . . . . . . . . . . . 115
5.2.2.2 儀器量測頻譜圖. . . . . . . . . . . . . . . . . . . . 116
5.2.2.3 回授訊號作圖與特性分析. . . . . . . . . . . . . . . 119
5.2.3 低延遲系統優化量測結果比較. . . . . . . . . . . . . . . . . . . 125
5.2.3.1 儀器量測數據與頻譜圖. . . . . . . . . . . . . . . . 125
5.2.3.2 回授訊號作圖與特性分析. . . . . . . . . . . . . . . 128
5.2.4 小結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
5.3 本章總結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131
第六章 結論與未來展望 133
6.1 總結. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133
6.2 未來展望. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 135
參考文獻 137
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dc.language.isozh_TW-
dc.subject數位預失真-
dc.subjectFPGA-
dc.subject低延遲-
dc.subject記憶效應-
dc.subject5G NR-
dc.subjectLMS-
dc.subjectCORDIC-
dc.subjectDigital Pre-Distortion (DPD)-
dc.subjectFPGA-
dc.subjectLow Latency-
dc.subjectMemory Effects-
dc.subject5G NR-
dc.subjectLMS-
dc.subjectCORDIC-
dc.title基於FPGA之5G NR寬頻低延遲數位預失真系統設計與效能分析zh_TW
dc.titleDesign and Performance Analysis of FPGA-Based Low-Latency Digital Pre-Distortion System for 5G NR Wideband Signalsen
dc.typeThesis-
dc.date.schoolyear114-1-
dc.description.degree碩士-
dc.contributor.oralexamcommittee陳彥廷;陳怡然zh_TW
dc.contributor.oralexamcommitteeYen-Ting Chen;Yi-Jan Chenen
dc.subject.keyword數位預失真,FPGA低延遲記憶效應5G NRLMSCORDICzh_TW
dc.subject.keywordDigital Pre-Distortion (DPD),FPGALow LatencyMemory Effects5G NRLMSCORDICen
dc.relation.page140-
dc.identifier.doi10.6342/NTU202600758-
dc.rights.note同意授權(限校園內公開)-
dc.date.accepted2026-02-23-
dc.contributor.author-college工學院-
dc.contributor.author-dept工程科學及海洋工程學系-
dc.date.embargo-lift2026-03-05-
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