Regularization approach for dynamic resolution of phase integer ambiguity in GPS rapid positioning

被引：0

作者：

Duan, Rong ^{[1
]}

Zhao, Xiu-Bin ^{[1
]}

Pang, Chun-Lei ^{[1
]}

Li, Yuan ^{[2
]}

Wu, Shao-Shi ^{[1
]}

机构：

[1] Information and Navigation College, Air Force Engineering University, Xi'an

[2] Unit 94153 of PLA, Xianyang

来源：

Zhongguo Guanxing Jishu Xuebao/Journal of Chinese Inertial Technology | 2015年 / 23卷 / 05期

关键词：

Ill-condition; Improved Tikhonov regularization; Integer ambiguity; Singular value decomposition; Success rate;

D O I：

10.13695/j.cnki.12-1222/o3.2015.05.012

中图分类号：

学科分类号：

摘要：

In view of the ill-condition of normal matrix which is formed by few epoch observations in GPS rapid positioning, a new ambiguity resolution method was proposed, in which the modified singular value decomposition (SVD) is designed to acquire the accurate singular values of coefficient matrix, which avoids the influence of small singular value disturbance. Then an improved Tikhonov regularization method is proposed, and a regularizer matrix is constructed based on the characteristics of ill-condition matrix and modified SVD. Experimental example shows that, compared with least squares estimation and Tikhonov regularization combining with LAMBDA algorithm, the improved method has reduced the condition number of normal matrix by about 3 orders of magnitude, and has reduced the variance of float ambiguity deviated from true value to 1.04 from the original 41.89. As a result, a more accurate and stable float solution can be quickly obtained only by the L1-frequency data of four epochs, while the success rate is improved to 100%. © 2015, Editorial Department of Journal of Chinese Inertial Technology. All right reserved.

引用

页码：624 / 630

页数：6

共 16 条

[1]

Li B., Cao K.-J., Xu J.-N., Et al., Application of carrier phase differential relative navigation for shipboard landing of aircraft, China Satellite Navigation Conference (CSNC) 2013 Preceedings, pp. 189-196, (2013)

[2]

Xu P.-L., Parallel Cholesky-based reduction for the weighted integer least squares problem, Journal of Geodesy, 86, 1, pp. 35-52, (2012)

[3]

Teunissen P.J.G., Integer least-squares theory for the GNSS compass, Journal of Geodesy, 84, pp. 433-447, (2010)

[4]

Li B.-F., Verhagen S., Teunissen P.J.G., GNSS integer ambiguity estimation and evaluation: LAMBDA and Ps-LAMBDA, China Satellite Navigation Conference (CSNC) 2013 Preceedings, pp. 291-301, (2013)

[5]

Liu H.-Y., Chen Z.-M., Ye W.-S., Et al., GNSS carrier phase ambiguity resolution based on integrity restriction in ambiguity domain, Advances in Space Research, 53, pp. 1207-1218, (2014)

[6]

Ou J.-K., Wang Z.-J., A new method of ambiguity resolution in single frequency GPS quickly positioning, Chinese Science Bulletin, 48, 24, pp. 2572-2575, (2003)

[7]

Wu T.-Q., Deng K.-L., Huang M.-T., Et al., An improved singular values decomposition method for ill-posed problem, Geomatics and Information Science of Wuhan University, 36, 8, pp. 900-904, (2011)

[8]

Pang C.-L., Zhao X.-B., Lu Y.-E., Et al., Algorithm of rapid integer ambiguity resolution for single frequency GPS receivers based on improved UDVT decomposition, Acta Aeronautica et Astronautica Sinica, 33, 1, pp. 102-109, (2012)

[9]

Li B., Shen Y., Feng Y., Fast GNSS ambiguity resolution as an ill-posed problem, Journal of Geodesy, 84, 11, pp. 683-698, (2010)

[10]

Li B., Xu J.-N., Cao K.-J., Et al., Fast resolution of single frequency GPS integer ambiguity realized by improved LAMBDA algorithm, Journal of Chinese Inertial Technology, 21, 3, pp. 365-368, (2013)

← 1 2 →