A Fast Solution Method for GNSS Phase Ambiguity of Matrix Partitioning
Abstract Least-square ambiguity decorrelation adjustment(LAMBDA) algorithm involves a lot of matrix operations and takes a long time to reduce correlation in GNSS ambiguity resolution. So, we propose a blocking in least-square ambiguity decorrelation adjustment(BLAMBDA) algorithm for conditional variance matrix partitioning. In this algorithm, the conditional variance matrix is divided into blocks to reduce the ranking times of conditional variance, and on this basis, the Cholesky decomposition formula is integrated to reduce the number multiplication operation in the process of Cholesky decomposition. Simulation experiments and measured results show that, compared with LAMBDA algorithm, the overall efficiency of BLAMBDA algorithm improves significantly, and the BLAMBDA algorithm is more stable.
Key words :
GNSS
ambiguity resolution
matrix partitioning
BLAMBDA algorithm
decorrelation algorithm
Cite this article:
LI Kezhao,ZHU Guoku. A Fast Solution Method for GNSS Phase Ambiguity of Matrix Partitioning[J]. jgg, 2023, 43(1): 1-5.
LI Kezhao,ZHU Guoku. A Fast Solution Method for GNSS Phase Ambiguity of Matrix Partitioning[J]. jgg, 2023, 43(1): 1-5.
URL:
http://www.jgg09.com/EN/ OR http://www.jgg09.com/EN/Y2023/V43/I1/1
[1]
GAN Lu,GAO Chengfa,SHANG Rui. Research on GNSS Data Screening Scheme of Android Smartphone [J]. jgg, 2022, 42(9): 938-943.
[2]
LI Feixiang,ZHAO Lewen,TANG Geshi. GNSS Signal Classification and Accuracy Evaluation in Complex Observation Environment [J]. jgg, 2022, 42(8): 852-856.
[3]
WANG Hao,DING Nan,ZHANG Wenyuan,FENG Zunde. Algebraic Reconstruction Techniques with Variable Weight of Constraints for GNSS Water Vapor Tomography [J]. jgg, 2022, 42(8): 857-862.
[4]
LIU Xinzhong,ZHANG Fengshuang,MA Lingli,LI Layue. Current Strain Accumulation Characteristics and the Risk of Strong Earthquakes on the Eastern Boundary of the Sichuan-Yunnan Block [J]. jgg, 2022, 42(7): 687-693.
[5]
XU Liangye,WANG Lingli,GAO Han,NIU Tian,YU Shixian. Analysis of Crustal Deformation before the 2021 Yangbi MS 6.4 Earthquake [J]. jgg, 2022, 42(7): 700-706.
[6]
TONG Mengxiang,YU Sanda,XIA Pengfei,QUAN Lunian,YE Shirong. Analysis of Atmospheric Precipitable Water Vapor Model in China with Water Vapor Decrease Factor [J]. jgg, 2022, 42(7): 745-749.
[7]
WEI Yun,WANG Xun,WANG Hao,LI Li,CHEN Guodong,ZHAO Wei. Research on the Direct Conversion Model of PWV in Coastal Areas of Southeastern China [J]. jgg, 2022, 42(7): 750-754.
[8]
YANG Junling,LIU Kezhong,ZHENG Kai,LI Wanli,CHEN Mozi. Performance Analysis of BDS/GNSS in Precise Positioning and Velocity Estimation in Chuanjiang Waterway [J]. jgg, 2022, 42(5): 466-471.
[9]
LIANG Yueji,LAI Jianmin,REN Chao,DING Qin,SHI Yajie,HU Xinmiao,LU Xianjian. Multi-Satellite Linear Regression Inversion Model for Soil Moisture Based on GNSS-IR Dual-System Combination [J]. jgg, 2022, 42(5): 477-482.
[10]
LU Tieding,TAO Rui,CHENG Yuanming,ZHOU Ziqi,HE Jinliang. Optimized EWT-NLM Adaptive GNSS Vertical Time Series Noise Reduction Method [J]. jgg, 2022, 42(5): 451-456.
[11]
CAI Meng,LIU Lilong,HUANG Liangke,MO Zhixiang,HUANG Donggui,LI Haojie. Evaluation of GNSS Precipitable Water Vapor Derived from GPT3 Model [J]. jgg, 2022, 42(5): 483-488.
[12]
FAN Xiaomeng,HU Chuan,LI Chenghong,ZHANG Chongyang. Improved DINEOF for Interpolating GNSS Coordinate Time Series [J]. jgg, 2022, 42(5): 462-465.
[13]
ZHOU Wentao,ZHANG Wenjun,MIAO Junyi,SHEN Rui,ZI Yingkun. 3D Surface Deformation Monitoring of Mining Areas Based on HVCE-RBFNN Method [J]. jgg, 2022, 42(5): 520-525.
[14]
LU Tieding,HE Jinliang,XU Huaqing,HE Xiaoxing. An Improved Gross Error Detection Method for GNSS Elevation Time Series Based on MAD [J]. jgg, 2022, 42(4): 349-354.
[15]
LIU Yanping,ZENG Zhaoyang,WANG Yong. MODIS Precipitable Water Vapor Correction in Southwest China Based on GNSS [J]. jgg, 2022, 42(4): 389-392.