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研究生: 謝吉修
Jie-shiou Hsieh
論文名稱: GPS即時動態定位最佳化演算法比較研究
A Comparative Study of Optimal Algorithmsfor Real-Time Kinematic GPS Positioning
指導教授: 吳究
Joz Wu
口試委員:
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系在職專班
Executive Master of Civil Engineering
畢業學年度: 91
語文別: 中文
論文頁數: 76
中文關鍵詞: 全球衛星定位系統方差分量估計解關聯
外文關鍵詞: Decorrelation, BIQUE, GPS, Variance Component
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  • 利用GPS衛星訊號的觀測量進行即時動態定位,在有限的單時刻訊號觀測量數據與極短時間內要完成動態定位演算,最大的困難即是整數相位模稜(Phase Ambiguity)、幾何坐標分量與電離層延遲之間參數高相關的問題,造成整數相位模稜值非常不易正確求解。本論文研究即在探討如何使參數與觀測式間,組合最佳化之演算工作模式,並應用方差無偏差估計技術-- BIQUE估計式,估計方差分量,使訊號觀測量數據回饋提供最佳化無偏差之先驗資訊,讓隨機模式能更接近事實,以強化解關聯演算技術之工作效能,使整數相位模稜估計求解正確且更具效率。並引用卡曼濾波器進一步探討附加參數對幾何定位之影響與效益,期獲得最佳之精確定位成果。


    Using GPS data for real-time kinematic differential positioning, the most difficulty is to solve high correlation between ambiguities, geometry and ionospheric parameters. Precise estimation of GPS phase ambiguity integer is a key. In this study, some possible enhancements which try to take advantage of the structure between the parameters and double-differenced observation equations in the data processing will be given, and take an algorithm of variance and covariance component unbiased estimation — BIQUE. Let the stochastic model close to truth, and fast solve integer phase ambiguity resolution while a decorrelation method is applied. This study will discuss how to increase the parameters to geometry position effectively when the Kalman filter is used.

    中文摘要 I 英文摘要 II 目 錄 III 圖目錄 IV 表目錄 VI 第一章 緒論 1 §1.1 研究動機 1 §1.2 文獻回顧 2 §1.3 研究方法 4 第二章 GPS測量原理 5 §2.1 GPS衛星定位之架構 5 §2.2 GPS 衛星數位訊號 6 §2.3 GPS衛星之定位原理與觀測方程 7 §2.4 觀測量資料差分處理方法 13 §2.5 雙頻載波相位寬巷線性組合方法 16 第三章 相位模稜求定演算 17 §3.1 最小二乘混合平差演算式 17 §3.2 BIQUE方差分量估計 23 §3.3 參數解關聯理論與相位模稜搜尋處理流程 32 §3.4 統計檢定 36 第四章 幾何定位演算 39 §4.1 最小二乘混合平差演算式 39 §4.2 卡曼濾波(Kalman Filter)演算式 40 §4.3 投影坐標系統 45 第五章 實驗成果與分析 48 §5.1 資料處理設備 48 §5.2 演算法分析成果比較 48 §5.3 實驗剪影 70 第六章 結論 71 參考文獻 73

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