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研究生: 高紹捷
Kao, Shao-Chieh
論文名稱: 基於時間延遲差及都卜勒頻率差之雙星定位模擬與分析:間接法與直接法比較
Simulation and Analysis of Dual-Satellite Geolocation Based on TDOA and FDOA: A Comparison Between Indirect and Direct Methods
指導教授: 莊智清
Juang, Jyh-Ching
學位類別: 碩士
Master
系所名稱: 電機資訊學院 - 電機工程學系
Department of Electrical Engineering
論文出版年: 2025
畢業學年度: 113
語文別: 英文
論文頁數: 110
中文關鍵詞: 被動定位時間延遲差都卜勒頻率差直接定位擴展卡爾曼濾波器粒子濾波器
外文關鍵詞: Passive Localization, Time Difference of Arrival (TDOA), Frequency Difference of Arrival (FDOA), Direct Positioning Determination (DPD), Extended Kalman Filter (EKF), Particle Filter (PF)
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  • 被動定位僅依賴訊號接收端進行定位,無需主動通訊,在具敵情威脅或通訊受限的環境下尤具優勢,近年廣泛應用於電子作戰與災害救援等任務中。低軌道衛星具備高覆蓋率、高重訪率與低通訊延遲等優勢,已成為電子偵察與頻譜監測等應用的重要平台,而立方衛星則因其低成本、模組化與部署彈性,更適合快速建構具擴展性與任務彈性的被動式定位系統。
    本研究以雙星衛星任務架構為基礎,探討利用時間延遲差與都卜勒頻率差進行靜態發射源之被動定位。本文比較兩種定位架構之表現,分別為以交互模糊函數配合擴展卡爾曼濾波器和粒子濾波器實現之間接定位法,與以粒子濾波器實現之直接定位法,並進一步提出一種改良式粒子濾波策略,以解決直接定位方法在非凸目標空間中易受局部極值干擾而誤判問題,提升其收斂準確性與穩定性。
    本論文建構之模擬平台整合了真實軌道元素與通訊鏈路模型,並透過多組蒙地卡羅實驗,分析不同積分時間、訊號頻寬、訊雜比及幾何配置條件下之定位誤差分布。藉此驗證並比較兩種定位方法在各種情境下的效能表現與適用性。

    Passive localization techniques rely solely on signal reception without requiring active transmissions, offering clear advantages in contested or communication-constrained environments. These methods have been widely adopted in applications such as electronic warfare, spectrum monitoring, and disaster response. Satellites in low Earth orbit (LEO) offer several advantages, including wide coverage, high revisit frequency, and low communication latency, making them ideal platforms for space-based localization systems. CubeSats, due to their low cost, modular structure, and flexible deployment, are particularly well-suited for rapidly constructing scalable and mission-adaptive passive localization architectures.
    This research is based on a dual-satellite mission architecture and investigates the use of time difference of arrival (TDOA) and frequency difference of arrival (FDOA) for passive localization of a stationary emitter. Two positioning approaches are evaluated: an indirect method utilizing the cross-ambiguity function (CAF) combined with an extended Kalman filter (EKF) or particle filter (PF), and a direct positioning determination (DPD) approach implemented solely via particle filtering. To address the issue of local extrema in non-convex search spaces, an improved particle filtering strategy is proposed to enhance the convergence accuracy and robustness of DPD.
    A simulation platform integrating real orbital elements and a detailed communication link model is developed to support this study. Extensive Monte Carlo experiments are conducted to analyze localization error distributions under various integration times, signal bandwidths, signal-to-noise ratios (SNR), and geometric conditions. The results validate and compare the performance and applicability of both positioning approaches under diverse operational scenarios.

    摘要 I Abstract II Acknowledgements IV Contents V List of Tables VIII List of Figures IX List of Abbreviations 1 Chapter 1 Introduction 3 1.1 Motivation and Objectives 3 1.2 Literature Review 5 1.3 Contributions 7 1.4 Thesis Overview 8 Chapter 2 System Overview and Method 10 2.1 Mission Scenario 10 2.2 Coordinate Systems and Notation 11 2.3 Signal Model 13 2.4 Indirect Methods 14 2.4.1 Cross Ambiguity Function 15 2.4.2 Positioning Model Based on TDOA/FDOA Measurements 20 2.4.3 Extended Kalman Filter 22 2.4.4 Particle Filter 25 2.5 Direct Position Determination 26 2.5.1 Grid Search 27 2.5.2 DPD+PF 29 2.5.3 Proposed PF For DPD 34 Chapter 3 Simulation Setup 38 3.1 Simulation Framework and Workflow 38 3.2 Simulation Parameter Configuration 40 3.2.1 Scenario Setup 40 3.2.2 Antenna Gain Pattern and SNR Calculation 42 3.2.3 Complexity Analysis 44 3.3 Experimental Variables and Parameter Sweep Strategy 48 3.3.1 CAF Measurement Error Analysis 48 3.3.2 EKF Behavior under Initialization and Process Noise 49 3.3.3 Positioning Accuracy of CAF+EKF and CAF+PF 50 3.3.4 DPD Grid Search Error Analysis 51 3.3.5 Proposed Particle Filter Configuration 51 3.3.6 Comparison of CAF+EKF, CAF+PF and DPD+Proposed PF 53 3.3.7 Geometric Configuration for Positioning 54 Chapter 4 Simulation Results 56 4.1 CAF Measurement Error Analysis 56 4.1.1 TDOA Measurement Error Analysis 58 4.1.2 FDOA Measurement Error Analysis 59 4.2 EKF Behavior under Initialization and Process Noise 61 4.3 Positioning Accuracy of CAF+EKF and CAF+PF 62 4.4 DPD Grid Search Error Analysis 66 4.5 Proposed Particle Filter Configuration 70 4.6 Comparison of CAF+EKF, CAF+PF and DPD+Proposed PF 73 4.7 Geometric Configuration for Positioning 76 Chapter 5 Experiment 84 5.1 Experiment Setup 85 5.2 Asynchronous Receiver Experiment 86 5.3 Synchronous Receiver Experiment 90 Chapter 6 Conclusion and Future Work 92 6.1 Conclusion 92 6.2 Future Work 93 References 94

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