Fast and high precision spatial carrier frequency phase shifting algorithm based on the second order difference

2020 ◽  
Vol 454 ◽  
pp. 124310 ◽  
Author(s):  
Hanlin Wang ◽  
Zhenda Sun ◽  
Liyun Zhong ◽  
Jiaosheng Li ◽  
Haoren Zou ◽  
...  
Keyword(s):  
High Precision ◽  
Carrier Frequency ◽  
Second Order ◽  
Phase Shifting ◽  
Order Difference ◽  
Frequency Phase

scholarly journals Phase Extraction Algorithm Based on the Spatial Carrier-Frequency Phase-Shifting Gradient

2019 ◽  
Vol 11 (6) ◽  
pp. 1-7
Author(s):  
Haoren Zou ◽  
Liyun Zhong ◽  
Jiaosheng Li ◽  
Zhenda Sun ◽  
Yicheng Liu ◽  
...  
Keyword(s):  
Carrier Frequency ◽  
Phase Shifting ◽  
Phase Extraction ◽  
Extraction Algorithm ◽  
Frequency Phase

scholarly journals A Rapid Spatial Carrier-Frequency Phase-Shifting Method Based on the Orthogonality of Diamond Diagonal Vectors

2017 ◽  
Vol 9 (3) ◽  
pp. 1-9 ◽  
Author(s):  
Xiang Qiu ◽  
Liyun Zhong ◽  
Bingbo Li ◽  
Shengde Liu ◽  
Yunfei Zhou ◽  
...  
Keyword(s):  
Carrier Frequency ◽  
Phase Shifting ◽  
Phase Shifting Method ◽  
Frequency Phase

Development of high-precision high-frequency phase-shifting circuit

2010 ◽  
Author(s):  
Shuliang Ye ◽  
Jiaying Song ◽  
Baowu Zhang ◽  
Jian Qiu
Keyword(s):  
High Precision ◽  
High Frequency ◽  
Phase Shifting ◽  
Frequency Phase

scholarly journals Dynamic phase measurement based on spatial carrier-frequency phase-shifting method

2016 ◽  
Vol 24 (13) ◽  
pp. 13744 ◽  
Author(s):  
Linbo Huang ◽  
Xiaoxu Lu ◽  
Jiaosheng Li ◽  
Yunfei Zhou ◽  
Jiaxiang Xiong ◽  
...  
Keyword(s):  
Carrier Frequency ◽  
Phase Measurement ◽  
Phase Shifting ◽  
Dynamic Phase ◽  
Phase Shifting Method ◽  
Frequency Phase

scholarly journals Dynamic Phase Measurement Based on Two-Step Spatial Carrier-Frequency Phase-Shifting Interferometry

2018 ◽  
Vol 10 (2) ◽  
pp. 1-11 ◽  
Author(s):  
Bingbo Li ◽  
Liyun Zhong ◽  
Jiaosheng Li ◽  
Shengde Liu ◽  
Jindong Tian ◽  
...  
Keyword(s):  
Carrier Frequency ◽  
Phase Measurement ◽  
Phase Shifting ◽  
Phase Shifting Interferometry ◽  
Dynamic Phase ◽  
Frequency Phase

Dual-wavelength interferometry based on the spatial carrier-frequency phase-shifting method

2016 ◽  
Vol 55 (9) ◽  
pp. 2363 ◽  
Author(s):  
Linbo Huang ◽  
Xiaoxu Lu ◽  
Yunfei Zhou ◽  
Jindong Tian ◽  
Liyun Zhong
Keyword(s):  
Carrier Frequency ◽  
Phase Shifting ◽  
Dual Wavelength ◽  
Phase Shifting Method ◽  
Frequency Phase

scholarly journals Algorithm for Real-Time Cycle Slip Detection and Repair for Low Elevation GPS Undifferenced Data in Different Environments

2021 ◽  
Vol 13 (11) ◽  
pp. 2078
Author(s):  
Ning Liu ◽  
Qin Zhang ◽  
Shuangcheng Zhang ◽  
Xiaoli Wu
Keyword(s):  
Real Time ◽  
High Voltage ◽  
Second Order ◽  
Cycle Slip ◽  
Order Difference ◽  
Cycle Slips ◽  
Cycle Slip Detection ◽  
Wide Lane ◽  
Time Cycle ◽  
Slip Detection

Real-time cycle slip detection and repair is one of the key issues in global positioning system (GPS) high precision data processing and application. In particular, when GPS stations are in special environments, such as strong ionospheric disturbance, sea, and high-voltage transmission line interference, cycle slip detection and repair in low elevation GPS observation data are more complicated than those in normal environments. For low elevation GPS undifferenced carrier phase data in different environments, a combined cycle slip detection algorithm is proposed. This method uses the first-order Gauss–Markov stochastic process to model the pseudorange multipath in the wide-lane phase minus narrow-lane pseudorange observation equation, and establishes the state equation of the wide-lane ambiguity with the pseudorange multipath as a parameter, and it uses the Kalman filter for real-time estimation and detects cycle slips based on statistical hypothesis testing with a predicted residual sequence. Meanwhile, considering there are certain correlations among low elevation, observation epoch interval, and ionospheric delay error, a second-order difference geometry-free combination cycle slip test is constructed that takes into account the elevation. By combining the two methods, real-time cycle slip detection for GPS low elevation satellite undifferenced data is achieved. A cycle slip repair method based on spatial search and objective function minimization criterion is further proposed to determine the correct solution of the cycle slips after they are detected. The whole algorithm is experimentally verified using the static and kinematic measured data of low elevation satellites under four different environments: normal condition, high-voltage transmission lines, dynamic condition in the sea, and ionospheric disturbances. The experimental results show that the algorithm can detect and repair cycle slips accurately for low elevation GPS undifferenced data, the difference between the float solution and the true value for the cycle slip does not exceed 0.5 cycle, and the differences obey the normal distribution overall. At the same time, the wide-lane ambiguity and second-order difference GF combination sequence calculated by the algorithm is smoother, which give further evidence that the algorithm for cycle slip detection and repair is feasible and effective, and has the advantage of being immune to the special observation environments.

scholarly journals Sharp Lyapunov-type inequalities for second-order half-linear difference equations with different kinds of boundary conditions

2021 ◽  
Vol 115 (3) ◽  
Author(s):  
Robert Stegliński
Keyword(s):  
Difference Equation ◽  
Boundary Conditions ◽  
Difference Equations ◽  
Periodic Boundary ◽  
Periodic Boundary Conditions ◽  
Second Order ◽  
Linear Difference Equations ◽  
Order Difference ◽  
Second Order Difference Equation ◽  
Order Difference Equation

AbstractIn this work, we establish optimal Lyapunov-type inequalities for the second-order difference equation with p-Laplacian $$\begin{aligned} \Delta (\left| \Delta u(k-1)\right| ^{p-2}\Delta u(k-1))+a(k)\left| u(k)\right| ^{p-2}u(k)=0 \end{aligned}$$ Δ ( Δ u ( k - 1 ) p - 2 Δ u ( k - 1 ) ) + a ( k ) u ( k ) p - 2 u ( k ) = 0 with Dirichlet, Neumann, mixed, periodic and anti-periodic boundary conditions.

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