Improved Taylor-Series Expansion for MS Location Estimation

2011 ◽  
Vol 52-54 ◽  
pp. 1777-1782 ◽  
Author(s):  
Chien Sheng Chen ◽  
Yung Chuan Lin ◽  
Wen Hsiung Liu ◽  
He Nian Shou
Keyword(s):  
Taylor Series ◽  
Solution Process ◽  
Selection Criterion ◽  
Mobile Station ◽  
Iteration Process ◽  
Taylor Series Expansion ◽  
Initial Position ◽  
Location Estimation ◽  
Least Square ◽  
Location Selection

The objective of wireless location is to determine the mobile station (MS) location in a wireless cellular communications system. Due to the measurement with large errors, location schemes give poorer performance in non-line-of-sight (NLOS) environments. To determine MS location, Taylor-series algorithm (TSA) is commonly used scheme. TSA can give a least-square (LS) solution to a set of simultaneous linearized equations. The disadvantage of TSA is the need for an initial position guess to start the solution process. The iteration process may not converge due to a poor initial estimate of the MS location. To improve the location accuracy with less complexity, the initial MS location selection criterion is proposed. Numerical results demonstrate that the proposed criterion always provides more accurate positioning.

scholarly journals Weighted Measurement Fusion Particle Filter for Nonlinear Systems with Correlated Noises

Sensors ◽  
2018 ◽  
Vol 18 (10) ◽  
pp. 3242 ◽  
Author(s):  
Ke Wei Zhang ◽  
Gang Hao ◽  
Shu Li Sun
Keyword(s):  
Nonlinear Systems ◽  
Particle Filter ◽  
Series Expansion ◽  
Taylor Series ◽  
Asymptotic Optimality ◽  
Taylor Series Expansion ◽  
Full Rank ◽  
Expansion Method ◽  
Least Square ◽  
Correlated Noises

The multi-sensor information fusion particle filter (PF) has been put forward for nonlinear systems with correlated noises. The proposed algorithm uses the Taylor series expansion method, which makes the nonlinear measurement functions have a linear relationship by the intermediary function. A weighted measurement fusion PF (WMF-PF) was put forward for systems with correlated noises by applying the full rank decomposition and the weighted least square theory. Compared with the augmented optimal centralized fusion particle filter (CF-PF), it could greatly reduce the amount of calculation. Moreover, it showed asymptotic optimality as the Taylor series expansion increased. The simulation examples illustrate the effectiveness and correctness of the proposed algorithm.

SIMULATION OF NATURAL CONVECTION BY TAYLOR SERIES EXPANSION- AND LEAST SQUARE-BASED LBM

2003 ◽  
Vol 17 (01n02) ◽  
pp. 165-168
Author(s):  
YAN PENG ◽  
C. SHU ◽  
Y. T. CHEW
Keyword(s):  
Natural Convection ◽  
Series Expansion ◽  
Taylor Series ◽  
Thermal Model ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Energy Density Distribution ◽  
Mesh Structure ◽  
Benchmark Data ◽  
Boltzmann Method

The Taylor series expansion- and least squares- based lattice Boltzmann method (TLLBM) is used in this paper to extend the internal energy density distribution function (IEDDF) thermal model to be used on the arbitrary geometry in order to solve practical thermo-hydrodynamics in incompressible limit. The TLLBM essentially has no limitation on the mesh structure and the lattice model. Its use in the thermal model was validated by the numerical simulation of natural convection in a square cavity. Then its application on the curved boundary, natural convection in concentric annuli, was carried out. Favorable results were obtained and compared well with the benchmark data.

Cooperative Positioning Based on Hybrid Information

2013 ◽  
Vol 694-697 ◽  
pp. 940-946 ◽  
Author(s):  
Xiang Hui Zeng ◽  
Hong Tao Hou ◽  
Qiang Chang ◽  
Qun Li ◽  
Wei Ping Wang
Keyword(s):  
Wireless Network ◽  
Series Expansion ◽  
Taylor Series ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Positioning Accuracy ◽  
Localization Method ◽  
Cooperative Positioning ◽  
Simulation Results

A new localization method has been proposed to overcome the limitations of systems relying on GPS or other terrestrial infrastructure. This method fuses both pseudorange measurements from GNSS satellites and RSSI-based ranging measurements between peers of a wireless network, and uses improved collaborative subtree algorithm to partition the network. In each collaborative subtree, the nodes’ positions can be computed by using the least square algorithm based on Taylor series expansion-based. Simulation results showed that this method improves both availability and positioning accuracy.

scholarly journals A new meshless method using Taylor series to solve elasticity problems

2012 ◽  
Author(s):  
Yendoubouam Tampango ◽  
Michel Potier-Ferry ◽  
Yao Koutsawa ◽  
Salim Belouettar
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Taylor Series ◽  
Meshless Method ◽  
Classical Method ◽  
Taylor Series Expansion ◽  
Least Square Method ◽  
Least Square ◽  
Radius Of Convergence ◽  
Elasticity Problems

A meshless method is presented and analysed. In this approach, one discretises only the boundary, the partial differential equation being solved in the domain by using Taylor series expansion. A least square method is used to apply boundary conditions. In this paper, the method is applied to Navier equations for linear elasticity. Various tests are presented to discuss the efficiency and robustness of the method. The convergence is exponential with respect to the degree but it depends on the radius of convergence of the series. That is why an algorithm has been associated with the Domb–Sykes plot that is a classical method to detect singularities and evaluate the radius of convergence.

TAYLOR SERIES EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD: THREE-DIMENSIONAL FORMULATION AND ITS APPLICATIONS

2003 ◽  
Vol 14 (07) ◽  
pp. 925-944 ◽  
Author(s):  
C. SHU ◽  
X. D. NIU ◽  
Y. T. CHEW
Keyword(s):  
Lattice Boltzmann Method ◽  
Series Expansion ◽  
Taylor Series ◽  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Two Dimensional ◽  
Algebraic Form ◽  
Boltzmann Method

The two-dimensional form of the Taylor series expansion- and least square-based lattice Boltzmann method (TLLBM) was recently presented by Shu et al.8 TLLBM is based on the standard lattice Boltzmann method (LBM), Taylor series expansion and the least square optimization. The final formulation is an algebraic form and essentially has no limitation on the mesh structure and lattice model. In this paper, TLLBM is extended to the three-dimensional case. The resultant form keeps the same features as the two-dimensional one. The present form is validated by its application to simulate the three-dimensional lid-driven cavity flow at Re=100, 400 and 1000. Very good agreement was achieved between the present results and those of Navier–Stokes solvers.

NUMERICAL SIMULATION OF FLOWS PAST A ROTATIONAL CIRCULAR CYLINDER BY TAYLOR-SERIES-EXPANSION AND LEAST SQUARES-BASED LATTICE BOLTZMANN METHOD

2005 ◽  
Vol 16 (11) ◽  
pp. 1753-1770 ◽  
Author(s):  
C. SHU ◽  
K. QU ◽  
X. D. NIU ◽  
Y. T. CHEW
Keyword(s):  
Circular Cylinder ◽  
Lattice Boltzmann Method ◽  
Series Expansion ◽  
Taylor Series ◽  
Lattice Boltzmann ◽  
Incompressible Flows ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Mesh Structure ◽  
Boltzmann Method

An explicit Taylor series expansion and least square-based lattice Boltzmann method (TLLBM) is used to simulate the two-dimensional unsteady viscous incompressible flows. TLLBM is based on the well-known Taylor series expansion and the least square optimization. It has no limitation on mesh structure and lattice model. Its marching in time is accurate. Therefore, it is very suitable for simulation of time dependent problems. Numerical experiments are performed for simulation of flows past a rotational circular cylinder. Good agreement is achieved between the present results and available data in the literature.

SIMULATION OF UNSTEADY INCOMPRESSIBLE FLOWS BY USING TAYLOR SERIES EXPANSION- AND LEAST SQUARE-BASED LATTICE BOLTZMANN METHOD

2002 ◽  
Vol 13 (06) ◽  
pp. 719-738 ◽  
Author(s):  
Y. T. CHEW ◽  
C. SHU ◽  
X. D. NIU
Keyword(s):  
Lattice Boltzmann Method ◽  
Series Expansion ◽  
Taylor Series ◽  
Lattice Boltzmann ◽  
Incompressible Flows ◽  
Taylor Series Expansion ◽  
Least Square ◽  
New Method ◽  
Time Accuracy ◽  
Boltzmann Method

In this work, an explicit Taylor series expansion- and least square-based lattice Boltzmann method (LBM) is used to simulate two-dimensional unsteady incompressible viscous flows. The new method is based on the standard LBM with introduction of the Taylor series expansion and the least squares approach. The final equation is an explicit form and essentially has no limitation on mesh structure and lattice model. Since the Taylor series expansion is only applied in the spatial direction, the time accuracy of the new method is kept the same as the standard LBM, which seems to benefit for unsteady flow simulation. To validate the new method, two test problems, that is, the vortex shedding behind a circular cylinder at low Reynolds numbers and the oscillating flow in a lid driven cavity, were considered in this work. Numerical results obtained by the new method agree very well with available data in the literature.

SIMULATION OF THERMAL FLOWS BY TAYLOR SERIES EXPANSION- AND LEAST SQUARE-BASED LATTICE BOLTZMANN METHOD COUPLING WITH MACROSCOPIC THERMAL EQUATION

2003 ◽  
Vol 17 (01n02) ◽  
pp. 161-164
Author(s):  
X. D. NIU ◽  
C. SHU ◽  
Y. T. CHEW
Keyword(s):  
Lattice Boltzmann Method ◽  
Series Expansion ◽  
Taylor Series ◽  
Lattice Boltzmann ◽  
Taylor Series Expansion ◽  
Least Square ◽  
Thermal Source ◽  
Thermal Equation ◽  
Boltzmann Method ◽  
Thermal Flows

In this paper we use the Taylor series expansion- and least square-based lattice Boltzmann method to solve thermal flows. By introducing the "thermal source" into the isothermal lattice Boltzmann equation, and coupling with an explicit evaluation of temperature from the macroscopic thermal equation, the macroscopic property of the thermal flows can be obtained. To show the effectiveness of the method presented, the nature convection in the annulus between concentric horizontal circular and square cylinders was simulated and good results were obtained.

Sign in / Sign up

Export Citation Format

Share Document