- 期刊
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整合載波相位三差及泰勒多項式近似法之定位系統研究
Positioning Method Design by Triple Difference and Taylor Series Expansion Techniques
摘要
本研究是運用兩個全球定位接收機的載波相位，建立在不同時間及不同衛星觀測量情況下之導航方程式，進行三差式定位(Triple Difference of Carrier Phase)之研究。其方法是將每個衛星與接收機的鐘波誤差及電離層傳播延遲誤差等，以一階泰勒多項式近似法展開，並運用迭代方式及最小二次方誤差法(Least Squared Error)，進行導航方程式的解算，求出接收機的位置。此種將每個衛星的鐘波誤差，及電離層傳播延遲誤差等，以一階泰勒多項式展開的方法，是一種新的研究方式。同時本文並運用衛星模擬器的標準訊號，進行定位分析，其精確度可至公分級的程度，所以對需要較高精度的定位而言，這是非常有效的方法。
並列摘要
In this research the relative positioning method based on carrier phase was studied. The position of receiver is obtained by using the triple differences of carrier phase for different times and different satellites, in which both the errors of satellite and receiver biases as well as ionosphere propagation delays were replaced by the first order power series approximation, and then solving the navigation equations by the recursive method to minimize the least-squared-error. This methodology was not studied in the past. By using the GPS simulator for positioning, one can see that the positioning accuracy is about centimeter level, so it can be used for the system of higher accuracy requirement.