Performance Enhancement of GPS/INS Integrated Navigation System Using Wavelet Based De-noising method

[1] Grewal, M. S.; Weill, L. R. and Andrews, A. P.; “Global Positioning Systems, Inertial Navigation, and Integration,” John Wiley and Sons, 2001

[2] Kalman, R. E.; “A New Approach to Linear Filtering and Prediction Problems,” ASME Trans. Ser. D: J. Basic Eng., Vol. 82, No. 1, pp. 34–45, 1960.

[3] Farrell, J. A. and Barth, M.; “The Global Positioning System and Inertial Navigation,” McGraw-Hill Professional, New York, 1999.

[4] Maybeck, P. S.; “Stochastic Models, Estimation and control,” Academic Press, New York, Vol. 1, 1979.

[5] Skog, I. and Handel, P.; “Time Synchronization Errors in Loosely Coupled GPS-Aided Inertial Navigation Systems,” IEEE Transactions on Intelligent Transportation Systems, Vol. 12, No. 4, pp. 1014–1023, 2011.

[6] Shabani, M.; Gholami, A. and Davari, N.; “Asynchronous Direct Kalman Filtering Approach for Underwater Integrated Navigation System,” Nonlinear Dyn, Vol. 80, Nos. 1–2, pp. 71–85, 2015.

[7] Wendel, J.; Schlaile, C. and Trommer, G. F.; “Direct Kalman Filtering of GPS/INS for Aerospace Applications,” International Symposium on Kinematic System in Geodesy, Geomatics and Navigation, Alberta, Canada, 2001.

[8] Qi, H. and Moore, J. B.; “Direct Kalman Filtering Approach for GPS/INS Integration,” IEEE Trans. Aerosp. Electron. Syst., Vol. 38, No. 2, pp. 687–693, 2002.

[9] Shabani, M.; Gholami, A.; Davari, N. and Emami, M.; “Implementation and Performance Comparison of Indirect Kalman Filtering Approaches for AUV Integrated Navigation System Using Low Cost IMU,” ICEE, Mashhad, Iran, pp. 1–6, 2013.

[10] Chiang, K.; Aboelmagd, N. and El-Sheimy, N.; “Constructive Neural-Networks-Based MEMS/ GPS Integration Schme,” IEEE Trans. Aerospace Electronic Syst., Vol. 44, No. 2, pp. 582–594, 2008.

[11] Schwarz, K. P. and Wei, M.; “Modeling INS/GPS for Attitude and Gravity Applications,” Proceedings of the 3rd International Workshop of High Precision Navigation, Stuttgart, Germany, Vol. 95, pp. 200– 218, 1995.

[12] Ŝkaloud, J.; “Optimizing Georeferencing of Airborne Survey Systems by INS/GPS,” Ph.D. Thesis, Department of Geomatics Engineering, University of Calgary, Calgary, Alberta, Canada, UCGE Report No. 20126, 1999.

[13] El-Rabbany, A. and El-Diasty, M.; “An Efficient Neural-Network Model for De-noising of MEMS-based Inertial Data,” The Journal of Navigation, Vol. 57, pp. 407–415, 2004.

[14] Sifuzzaman, M.; Islam, M. R. and Ali, M. Z.; “Application of Wavelet Transform and its Advantages Compared to Fourier Transform,” Journal of Physical Sciences, Vol. 13, pp. 121–134, 2009.

[15] Grejner-Brzezinska, D.; Torh, C. and Yi, Y.; “On Improving Navigation Accuracy of GPS/INS Systems,” Photogrammetric Engineering and Remote Sensing, Vol. 71, No. 4, pp. 377–389, 2005.

[16] Daubechies, I.; “Orthonormal Basis of Compactly Supported Wavelets,” Comm. Pure Applied Math., Vol. 41, No. 7, pp. 909–996, 1988.

[17] Nassar, S.; “Improving the Inertial Navigation System (INS) Error Model for INS and INS/ DGPS Applications,” Ph.D. Thesis, Department of Geomatics Engineering, University of Calgary, Canada, UCGE Report No. 20183, 2003.

[18] Abdel-Hamid, W.; Osman, A.; Noureldin, A. and El-Sheimy, N.; “Improving the Performance of MEMS-based Inertial Sensors by Removing Short- Term Errors Utilizing Wavelet Multi-Resolution Analysis,” in Proceedings of ION NTM, San Diego CA, U.S. Institute of Navigation, pp. 260–266, 2004.

[19] Bruton, A.; Schwarz, K. P. and .kaloud, J.; “The Use of Wavelets for the Analysis and De-noising of Kinematic Geodetic Measurements,” Proceedings of the IAG Symposia No. 121, Geodesy Beyond, The Challenges of the First Decade, Birmingham, UK, pp. 227–232, 2000.

[20] Zhang, T. and Xu, X. S.; “A New Method of Seamless Land Navigation for GPS/ INS Integrated System,” Measurement, Vol. 45, No. 4, pp. 691–701, 2012.

[21] Noureldin, A.; Osman, A. and EI-Sheimy, N.; “A Neuro-Wavelet Method for Multi-Sensor System Integration for Vehicular Navigation,” Meas. Sci. Technol., Vol. 15, No. 2, pp. 404–412, 2004.

[22] Burrus, C. S.; Gopinath, R. and Guo, H.; “Introduction to Wavelet and Wavelet Transforms a Primer,” Prentice Hall, 1998.

[23] Goswami, A. and Chan, K.; “Fundamentals of Wavelets: Theory, Algorithms and Applications,” Wiley, p. 359, 1999.

[24] Ogden, R. T.; “Essential Wavelets for Statistical Applications and Data Analysis,” Birkhäuser Boston, 1997.

[25] Strang, G. and Nguyen, T.; “Wavelets and Filter Banks,” Wellesley-Cambridge Press, 1997.

[26] Buccigrossi, R. W. and Simoncelli, E. P.; “Image Compression via Joint Statistical Characterization in the Wavelet Domain,” IEEE Image Process., Vol. 8, No 12, pp. 1688–1701, 1999.

[27] Romberg, J. K.; Choi, H. and Baraniuk, R. G.; “Bayesian Tree-Structured Image Modeling Using Wavelet-Domain Hidden Markov Models,” IEEE Image Process., Vol. 10, No. 7, pp. 1056–1068, 2001.

[28] Mallat, S. G.; “A Theory for Multiresolution Signal Decomposition: The Wavelet Representation,” IEEE Trans Pattern Analysis and Machine Intelligence, Vol. 11, No. 7, pp. 674–693, 1989.

[29] Alnuaimy, A. N. H.; Ismail, M.; Ali, M. A. M. and Jumari, K.; “TCM and Wavelet De-noising Over an Improved Algorithm for Channel Estimations of OFDM System Based Pilot Signal,” J. Applied Sci., Vol. 9, pp. 3371–3377, 2009.

[30] Putra, T. E.; Abdullah, S.; Nuawi, M. Z. and Nopiah, Z. M.; “Wavelet Coefficient Extraction Algorithm for Extracting Fatigue Features in Variable Amplitude Fatigue Loading,” J. Applied Sci., Vol. 10, No. 4, pp. 277–283, 2010.

[31] Misiti, M.; Misiti, Y.; Oppenheim, G. and Poggi, J. M.; “Wavelet Toolbox for the Use with Matlab,” The Mathworks Inc., MA, USA, 2000.

[32] Ma, X.; Zhou, C. and Kemp, I. J.; “Automated Wavelet Selection and Thresholding for PD Detection,” IEEE Electrical Insulation Magazine, Vol. 18, pp. 37–45, 2002.

[33] Li, W. and Zhao, J.; “Wavelet Based De-noising Method to Online Measurement of Partial Discharge,” Proceedings of Asia-Pacific Power and Energy Engineering Conference, Wuhan, China, pp. 1–3, 2009.

[34] Veterli, M.; Chang, S. G. and Yu, B.; “Spatially Adaptive Wavelet Thresholding with Context Modeling for Image De-noising,” IEEE Trans. Image Process., Vol. 9, No. 9, pp. 1522–1531, 2000.

[35] Misite, M.; Misite, Y.; Oppenheim, G. and Poggi, J. M.; “Wavelet Toolbox: Computation, Visualization and Programming: Version 2,” Mathworks Inc., California, 2002.

[36] Donoho, D.; Iain, L. and Johnstone, M.; “Adapting to Unknown Smoothness via Wavelet Shrinkage,” Journal of the American Statistical Association, Vol. 90, No. 432, pp. 1200–1244, 1995.

[37] Titterton, D. H. and Weston, J. L.; “Strapdown Inertial Navigation Technology,” Peter Peregrinus, UK, 1997.

[38] Brown, R. G. and Hwang, P. Y. C.; “Introduction to Random Signals and Applied Kalman Filtering: With MATLAB Exercises and Solutions,” Wiley, New York, Vol. 1, 1997.

[39] Nassar, S. and El-Sheimy, N.; “Wavelet Analysis for Improving INS and INS/DGPS Navigation Accuracy,” The Journal of Navigation, Vol. 58, No. 1, pp. 119–134, 2005.