成功的整數週波值 (Ambiguity Resolution, AR)解算是GNSS (Global Navigation Satellite System) RTK (Real-Time Kinematic)獲得公分級定位的主要關鍵。然而，電離層延遲量為造成單一時刻GNSS RTK整數週波值解算錯誤主要的誤差來源。由於北斗導航衛星系統中的地球靜止衛星 (Geostationary Earth Orbit, GEO)分布於相近緯度 (赤道)且近乎靜止不動，因此可預期各個GEO衛星訊號所受到的電離層延遲狀況類似。所以本研究以GEO衛星的特性為基礎提出一個新的單一時刻GNSS RTK演算法，此方法利用了partial fixing的策略來解算整數週波值。實驗中，探討電離層高度活動之情況，並藉由與現有的演算法比較，分析單一時刻整數週波值解算的效能。測試資料由儀器Trimble NetR9為蒐集，於中午及午後所觀測之短基線 (<10 km)資料。實驗成果顯示，目前的演算法在受到較大電離層延遲量影響時，無法提供可靠的單一時刻週波值解算成果，然而本研究所提出之演算法能夠大幅地提升單一時刻週波值解算成果之解算正確率，在電離層高度活動下依然提供穩定可靠的單一時刻整數週波值解算成果。

The key to reach centimeter-level single-epoch GNSS real-time kinematic (RTK) positioning depends on successful integer ambiguity resolution (AR). However, the ionospheric delay is a major error source to affect single-epoch ambiguity resolution. Since the geostationary earth orbit (GEO) satellites of the BeiDou system are distributed around the same latitude (equator) and nearly motionless, it is expected that the ionospheric condition of the adjacent GEO satellites are similar. Therefore, based on the characteristic of BeiDou GEO satellites, this study proposes a new algorithm for single-epoch AR under high ionospheric influence. The proposed algorithm resolves integer ambiguities by a strategy of partial fixing, which firstly resolves the integer ambiguities composed of the GEO satellites and then resolves the integer ambiguities composed of the other satellites. Experiments were conducted to compare the current algorithms and the proposed algorithm under high ionosphere influence for the single-epoch AR performance. Experimental short baseline data (<10 km) were collected at noon or in the afternoon with Trimble NetR9 in the low latitude region (Taiwan). The results indicate that the current algorithms cannot provide reliable single-epoch AR performance due to high ionosphere influence. By contrast, the proposed algorithm can significantly improve the AR performance.

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