A long-term coherent integration method of phase-coded pulse train

Author(s):  
Yang Li ◽  
Teng Long
Sensors ◽  
2020 ◽  
Vol 20 (5) ◽  
pp. 1309 ◽  
Author(s):  
Menghuan Yang ◽  
Hong Wu ◽  
Qiqi Wang ◽  
Yingxin Zhao ◽  
Zhiyang Liu

The secondary modulation with the Neumann-Hoffman code increases the possibility of bit sign transition. Unlike other GNSS signals, there is no pilot component for synchronization in BeiDou B1/B3 signals, which increases the complexity in acquisition. A previous study has shown that the delay and multiplication (DAM) method is able to eliminate the bit sign transition problem, but it only applies to pretty strong signals. In this paper, a DAM-based BeiDou signal acquisition approach, called variable length data accumulation (VLDA), is proposed to acquire weak satellite signals. Firstly, the performance of DAM method versus the different delays is analyzed. The DAM operation not only eliminates bit sign transition, but it also increases noise power. Secondly, long-term signal is periodically accumulated to improve signal intensity in order to acquire weak signals. While considering the Doppler frequency shift of ranging codes, the signal length must be compensated before accumulating long-term signal. Finally, the fast-Fourier-transform based parallel code phase algorithm are used for acquisition. The simulation results indicate that the proposed VLDA method has better acquisition sensitivity than traditional non-coherent integration method under the same calculation amount. The VLDA method only requires approximately 27.5% of calculations to achieve the same acquisition sensitivity (35 dBHz). What is more, the actual experimental results verify the feasibility of the VLDA method. It can be concluded that the proposed approach is an effective and feasible method for solving the bit sign transition problem.


2019 ◽  
Vol 92 ◽  
pp. 206-222
Author(s):  
Runqing Cao ◽  
Ming Li ◽  
Lei Zuo ◽  
Hao Sun

2003 ◽  
Vol 14 (06) ◽  
pp. 847-854 ◽  
Author(s):  
GOVINDAN RANGARAJAN

Long-term stability studies of nonlinear Hamiltonian systems require symplectic integration algorithms which are both fast and accurate. In this paper, we study a symplectic integration method wherein the symplectic map representing the Hamiltonian system is refactorized using polynomial symplectic maps. This method is analyzed for the three degree of freedom case. Finally, we apply this algorithm to study a large particle storage ring.


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