Wavelets and triple difference as a mathematical method for filtering and mitigation of DGPS errors

The accuracy of GPS position is primarily dependent on the satellite position, signal delay, and various environment noises such as ionospheric delay effects, ephemeris errors, satellite clock errors, multi-path distortion, tropospheric delay effects, and numerical errors. To overcome most of these errors the Differential Global Positioning System (DGPS) is used. Differential Global Positioning System is one of the most popular and reliable techniques for improving GPS accuracy by minimizing correlated errors between reference stations and rovers. The primary motivation of this paper is to improve GPS measurement accuracies by classifying errors in the frequency domain and subsequently separating, mitigating and decreasing them.Wavelet spectral techniques can separate GPS signals into sub-bands where different errors can be separated and mitigated. The main goal of this paper was the development and implementation of DGPS error mitigation techniques using triple difference and wavelet. This paper studies, analyzes and provides new techniques that will help mitigate these errors in the frequency domain. The proposed technique applied to smooth noise for GPS receiver positioning data is based upon the analysis of wavelet transform (WT). The technique is applied using wavelet as a de-noising tool to tackle the high-frequency errors in the triple difference domain and to obtain a de-noised triple difference signal that can be used in a positioning calculation.