Bilateral Filtering for Gray and Color Images
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Correspondences between wavelet shrinkage and nonlinear diffusion
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
High-precision GPS measurement for motorcycle trajectory using Kalman filter
INSS'09 Proceedings of the 6th international conference on Networked sensing systems
Mitigation of Systematic Errors of GPS Positioning Based on Wavelet Denoise
GCIS '10 Proceedings of the 2010 Second WRI Global Congress on Intelligent Systems - Volume 03
Baseline Influence on Single-Frequency GPS Precise Heading Estimation
Wireless Personal Communications: An International Journal
Efficient and reliable schemes for nonlinear diffusion filtering
IEEE Transactions on Image Processing
Multiresolution Bilateral Filtering for Image Denoising
IEEE Transactions on Image Processing
Classification of GPS Satellites Using Improved Back Propagation Training Algorithms
Wireless Personal Communications: An International Journal
Wireless Personal Communications: An International Journal
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The need for precise position and navigation aids in many areas of industry is becoming increasingly apparent. There are many errors associated with the navigation solution of the global positioning system (GPS), including satellite ephemeris error, satellite clock error, ionospheric delay, tropospheric delay, multipath, receiver measurement error and selective availability (SA). Noise can create an error between centimeters to several meters. In this paper, the proposed technique applied to smooth noise for GPS receiver positioning data is based upon the analysis of wavelet transform (WT), bilateral filter (BF) and diffusivity function. The WT is a powerful tool of signal processing for its multiresolutional possibilities. BF is a local, non-linear and non-iterative technique. It is applied to approximation subband. We decompose a GPS positioning data into low-frequency and high-frequency components and apply BF on the approximation coefficients and diffusivity function on the detail coefficients at each decomposition level for data smoothing. A single-frequency and low-cost commercial GPS receiver manufactured by Rockwell Company is used to test our method. The experimental results on measurement data demonstrate the effectiveness of the proposed method; so that the total root mean square (RMS) error reduces to less than 0.29 m with SA on and 0.15 m with SA off using Daubechie wavelet.