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The eikonal partial differential equation is solved using a modified level set algorithm which is then transformed into a proposed field programmable gate array implementation. The numerical method for isotropic material eikonal hardware engines is extended to angle dependent anisotropic media in two dimensions. This new method transforms the eigenvalue iteration into a process which executes in constant...
In order to successfully resolve the network infrastructure's problems the network provider has to improve the service quality. However in traditional ways, maintaining and improving of the service quality are generally determined in terms of quality of service criteria, not in terms of satisfaction and perception to the end-user. The latter is represented by Quality of Experience (QoE) that becomes...
In this paper, an iterative method is proposed to solve the second-order Sylvester matrix equation EXF2+AXF+CX+BY=D with unknown matrix pair [X, Y], based on a matrix form of LSQR algorithm. By this iterative method, we can obtain the minimum Frobenius norm solution pair or the minimum Frobenius norm least squares solution pair over some constrained matrices, such as symmetric, generalized bisymmetric...
A minimal residual algorithm based on the idea of the classical CG method for the inconsistent matrix equation AXB + CYD = E is constructed in this paper. By this method, the minimum norm least squares solution for anti-symmetric matrices can be obtained within finite iteration steps by choosing a special kind of initial iteration matrix when the matrix equation AXB + CYD = E is not consistent and...
Future lunar exploration requires rovers to understand lunar environment and terrain characteristic. In order to assess the traction traversability of a lunar rover, it is necessary to make terrain parameter estimation with lunar rover's traveling information. The online estimation methods of terrain parameter attract increasing attention because of its rapidness and effectiveness. Taking full account...
Enhanced wireless network can provide precise positioning for the civilian aircrafts. The paper utilized the relationship between integrated Doppler and range rate in the wireless network to position the aircrafts as the Joint Precision Approach and Landing System (JPALS) or Local Area Augmentation System (LASS), but without help of satellites. It established a self-calibration model and solved the...
The weighted least square (WLS) design of two-dimensional (2-D) linear-phase finite impulse response (FIR) filters with quadrantally symmetric or anti-symmetric magnitude responses is studied in this paper. Firstly, the necessary and sufficient condition for minimizing the WLS error is obtained in the form of matrix equation. Based on the matrix equation, a novel algorithm is derived for the WLS design...
Space resection, also known as the camera exterior orientation, is a fundamental problem in photogrammetry, computer vision and other areas. In the case of arbitrary large posture image, the classical iterative method based on Euler angle using collinearity equations usually fail because the initial values are poor or unknown. For this reason, this paper use Rodrigues matrix to represent the rotation...
The weighted least square (WLS) design of two-dimensional (2-D) finite impulse response (FIR) filters with quadrantally symmetric magnitude responses is studied in this paper. Firstly, the necessary and sufficient condition for minimizing the WLS error is obtained in the form of matrix equation. Based on the matrix equation, a matrix iterative algorithm is derived for the WLS design of 2-D filters...
In this paper, we propose and analyze a new GPS positioning algorithm. Our algorithm uses the direct linearization technique to reduce the computation time overhead. We invoke the general least squares method in order to achieve optimality in the situation when the trilateration system of equations becomes over-determined. We systematically evaluate our new algorithms and show that they indeed take...
Life cycle assessment (LCA) is a method used to quantify the environmental impacts of a product, process, or service across its whole life cycle. One of the problems occurring when the system at hand involves processes delivering more than one valuable output (multi-functional processes) is the allotment of resources consumption and environmental burdens in the correct proportion amongst the products...
Semi-parametric regression model prediction method based on empirical mode decomposition was studied in this paper. Firstly, basic idea of the empirical mode decomposition was introduced, and the improved algorithm was proposed to mitigate the end effect in the iterative shift process. Secondly, least squares method was employed to estimate the parameter β based on the trend component of empirical...
Many problems in signal processing involve finding sparse solutions to linear systems of equations. The usual way of achieving this involves minimizing a mixed penalty function composed of a quadratic l2 term and a sparse inducing l1 term. Some existing algorithms for minimization include cyclic descent, gradient projection and iterative fixed point methods. Cojugate gradient is well known as a fast...
Reinforcement learning is a promising paradigm for learning optimal control. We consider policy iteration (PI) algorithms for reinforcement learning, which iteratively evaluate and improve control policies. State-of-the-art, least-squares techniques for policy evaluation are sample-efficient and have relaxed convergence requirements. However, they are typically used in offline PI, whereas a central...
The chaos least square method finding all real solutions of nonlinear equations was proposed and the forward displacement analysis on the 25th nine-link Barranov truss was completed. Four constrained equations were established by vector method with complex numbers according to four loops of the mechanism and four supplement equations were also established by increasing four variables and the relation...
In this paper, we cope with the problem of pose estimation of a calibrated camera from n 3D-to-2D point correspondences (PnP). In the state of the art, there exists an efficient solution to this problem (EPnP) with linear computational complexity; nevertheless, the solution is obtained as a linear combination of four eigenvectors of a matrix and the linear coefficients are not always straightforward...
This paper proposes an indirect method for self-tuning of the PID controller gains. Some of the modern voltage regulator systems are utilizing the Proportional, Integral, and Derivative (PID) control for stabilization. Based on given excitation system parameters, several PID tuning approaches are reported. Since in general, these parameters are not available during commissioning, specifically the...
The Recursive least squares (RLS)-dichotomous coordinate descent (DCD) algorithm recently introduced for adaptive filtering is characterized by low complexity, while possessing fast convergence. However, predicting the convergence performance of the RLS-DCD algorithm is still an open issue. Known approaches are found not applicable, as in the RLS-DCD algorithm, the normal equations are not exactly...
Proposing a theoretical model of calibrating the large-scale unit to its center which is based on the PSD, which is acronym for position sensitive detector, and photoelectric technology. The principle of least square method is applied to the multi-spot fitting the center of the bearing shell and the spatial straight line for optimum calibrating. The numeral partial-differentiation equations set are...
This paper presents a new approach for synchronized phasor measurement-based state estimation, which starts from the buses with synchronized phasor data and enables highly accurate estimation of portions of the power system with connectivity to these phasor data buses. Observability analysis is used to assemble the buses for this Phasor State Estimator (PSE). The state estimation is formulated as...
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