Abstract

The periodic noise exists in BeiDou navigation satellite system (BDS) clock offsets. As a commonly used satellite clock prediction model, the spectral analysis model (SAM) typically detects and identifies the periodic terms by the Fast Fourier transform (FFT) according to long-term clock offset series. The FFT makes an aggregate assessment in frequency domain but cannot characterize the periodic noise in a time domain. Due to space environment changes, temperature variations, and various disturbances, the periodic noise is time-varying, and the spectral peaks vary over time, which will affect the prediction accuracy of the SAM. In this paper, we investigate the periodic noise and its variations present in BDS clock offsets, and improve the clock prediction model by considering the periodic variations. The periodic noise and its variations over time are analyzed and quantified by short time Fourier transform (STFT). The results show that both the amplitude and frequency of the main periodic term in BDS clock offsets vary with time. To minimize the impact of periodic variations on clock prediction, a time frequency analysis model (TFAM) based on STFT is constructed, in which the periodic term can be quantified and compensated accurately. The experiment results show that both the fitting and prediction accuracy of TFAM are better than SAM. Compared with SAM, the average improvement of the prediction accuracy using TFAM of the 6 h, 12 h, 18 h and 24 h is in the range of 6.4% to 10% for the GNSS Research Center of Wuhan University (WHU) clock offsets, and 11.1% to 14.4% for the Geo Forschungs Zentrum (GFZ) clock offsets. For the satellites C06, C14, and C32 with marked periodic variations, the prediction accuracy is improved by 26.7%, 16.2%, and 16.3% for WHU clock offsets, and 29.8%, 16.0%, 21.0%, and 9.0% of C06, C14, C28, and C32 for GFZ clock offsets.

Highlights

  • The real-time satellite orbit and clock products are indispensable for real-time precise point positioning (RT-PPP) [1]

  • The time-varying performance of GPS satellites based on the clock products of the International GNSS Service (IGS) is characterized, and the results show that the amplitudes of periodic terms vary with the eclipse seasons, and there is a relationship between the periodic noise and orbit dynamics [29]

  • The satellite atomic clocks in space are affected by space environment changes, temperaTo fully analyze the periodic variations, we investigate the periodic noise of the BeiDou navigation satellite system (BDS)

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Summary

Introduction

The real-time satellite orbit and clock products are indispensable for real-time precise point positioning (RT-PPP) [1]. The ultra-rapid orbit products with sufficient accuracy from MGEX Analysis Centers (ACs) can be used as real-time orbit correction directly [2]. The clock offsets are closely related to the satellite atomic clocks in space which can be influenced by many factors, such as external environmental effects that are not corrected by conventional models [3]. Analyzing the characteristics of the clock offsets and improving the accuracy of real-time clock offsets is of great importance to RT-PPP [4,5]. For BDS satellites, the domestic atomic clocks are equipped to provide the on-board time reference. BDS-2 satellites are equipped with the rubidium (Rb) atomic clocks, while

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