1. 1. 座標和時間系統
   • 全球和區域座標系統的定義
   • 衛星和傳統的大地測量座標系統之間的關係
     
     
2. 2. 衛星軌道運動
   • 運動描述
   • 衛星受力情況
   • 衛星導航訊息
     
     
3. 3. GPS測量值
   • 偽距
   • 載波相位
   • SA/AS選擇性可靠度/反欺騙效應，Selective Availability /Anti-Spoofing
   • 資料格式(RINEX，Receiver Independent Exchange Format)
     
     
4. 4. 估算程序
   • 隨機模型和數學模型
   • 共變異矩陣的傳播
   • 順序估計
   • 卡爾曼濾波
   • 最小平方法估算
     
     
5. 5. 傳播介質
   • 對流層
   • 電離層
   • 多路徑效應
     
     
6. 6. GPS觀測量的數學模型
   • 公分級全球定位所必須的基本理論
   • 差分的使用，差分定位
   • 寬巷及其在動態定位中的使用
     
     
7. 7. 處理GPS資料的方法
   • 可利用的軟體
   • 可利用的資料集，國際GPS服務（IGS）
   • 週期滑移固定/偏移解析度
   • 動態（移動接收器）GPS資料處理
   • 衛星和傳統的大地測量座標系統之間的關係
     
     
8. 8. GPS資料分析實例和應用，以及其他大地測良量的空間資料

教科書

Hofmann-Wellenhof, B., H. Lichtenegger和J. Collins，《GPS理論和實踐》，紐約Springer-Verlag, Wein書局，1992年出版，第326頁。

Parkinson, B. W., J. Spilker, P. Axelrad, 和P. Enge，《全球定位系統：理論和應用》華盛頓特區：美國航太學會，1996年出版，第793頁。

一些需要瀏覽的網站：

美國海岸巡防署導航中心
南加利福尼亞GPS整合網

課程要求

每隔幾周將會有一次家庭作業。沒有期末考試，但有一次學期論文，題目自選。成績由家庭作業（其中GPS資料分析程式的開發將占很大比重）和學期論文兩部分組成。論文是一篇GPS應用的相關領域評論，並可在整個學期中不斷地改進（也就是說，論文在整個學期中可以多次修訂）。

課程中，為了更深入地瞭解教材內容，允許共同完成家庭作業及參考其他書籍和出版品，要在作業中正確地引用這些額外資料。每個學生都應該獨立地完成家庭作業。不允許拷貝其他同學的作業。

1. Coordinate and Time Systems
   • Definition of global and local coordinate systems
   • Relationship between satellite and conventional geodetic systems
     
     
2. Satellite Orbital Motions
   • Description of motions
   • Forces acting on the satellites
   • Satellite NAV messages
     
     
3. GPS Observables
   • Pseudo ranges
   • Carrier phases
   • SA/AS
   • Format of data (RINEX)
     
     
4. Estimation Procedures
   • Stochastic and mathematical models
   • Propagation of covariance matrices
   • Sequential estimation
   • Kalman filtering
   • Statistics in least-squares estimation
     
     
5. Propagation Medium
   • Troposphere
   • Ionosphere
   • Multipath
     
     
6. Mathematical Model of GPS Observables
   • Basic theory of contributions that need to be included for millimeter level global positioning
   • Use of differencing, differential position
   • Wide-lanes and use in kinematic positioning
     
     
7. Methods of Processing GPS Data
   • Available software
   • Available data set, International GPS Service (IGS)
   • Cycle slip fixing/Bias resolution
   • Kinematic (moving receiver) GPS processing
   • Relationship between satellite and conventional geodetic systems
     
     
8. Applications and Examples of GPS Data Analysis along with Other Space Geodetic Data

Text Books

Hofmann-Wellenhof, B., H. Lichtenegger, and J. Collins. GPS Theory and Practice. New York: Springer-Verlag, Wein, 1992, pp. 326.

Parkinson, B. W., J. Spilker, P. Axelrad, and P. Enge. Global Positioning System: Theory and Applications. Washington D.C.: Am. Inst. Aeronaut. Astronaut., 1996, pp. 793.

Some web sites to explore:

Navigation Center
Southern California Integrated GPS Network

Class Requirements

There will be homework once every few weeks. There will be no final, but there will be an end of semester paper on a topic of your choice. Grading will be from the homework (which will be largely the development of a GPS data analysis program) and the end of semester paper. The paper will be a review of an area related to the applications of GPS and will developed during the semester (i.e., the paper will be revised for content several times during semester).

It will be acceptable in this course to work together on homework with the aim of better understanding the material and to refer to other books and published material provided that these additional materials are cited appropriately in the homework. Each student should complete the homework separately. It is not acceptable to simply copy the homework of another student.