scholarly journals Novel Model-Based Approaches for Non-Homogenous Atmospheric Compensation of GB-InSAR in the Azimuth and Horizontal Directions

2021 ◽  
Vol 13 (11) ◽  
pp. 2153
Author(s):  
Jie Liu ◽  
Honglei Yang ◽  
Linlin Xu ◽  
Tao Li
Keyword(s):  
Coordinate System ◽  
Atmospheric Correction ◽  
Deformation Monitoring ◽  
Compensation Method ◽  
Polar Coordinate System ◽  
Rectangular Coordinate System ◽  
Atmospheric Disturbance ◽  
Atmospheric Compensation ◽  
Model Based ◽  
Novel Model

Atmospheric disturbance is a main interference for deformation monitoring by GB-InSAR. Most approaches for atmospheric correction are based on the homogenous atmospheric medium assumption that usually does not hold due to complex topography and various environmental factors, leading to low atmospheric correction accuracy. This study proposes two novel model-based approaches for non-homogenous atmospheric compensation in the azimuth and horizontal directions. The conception of a coordinate system is introduced to design the model for the first time. The 2D atmospheric compensation method designed based on the polar coordinate system can address the non-homogenous atmospheric phase screen (APS) correction in the azimuth direction. The 3D atmospheric compensation method based on the rectangular coordinate system deals with the non-homogenous APS in all three directions, and can better address the non-homogenous APS in the elevation direction than the 2D method. Compared with conventional models, the 2D and 3D models consider the other non-homogenous APS conditions in their respective coordinate systems, which helps to broaden the application of model-based approaches. Experiments using different equipment over two study areas are conducted to test the efficiency of the proposed models. The results demonstrate that the proposed approaches can eliminate non-homogenous atmospheric disturbance and enhance the accuracy of GB-InSAR atmospheric compensation, leading to great improvements in slope deformation estimation.

Using a Polar Coordinate System in the Classroom

1990 ◽  
Vol 37 (8) ◽  
pp. 42-45
Author(s):  
William M. Carroll
Keyword(s):  
Elementary School ◽  
Coordinate System ◽  
School Level ◽  
Polar Coordinate System ◽  
School Students ◽  
Rectangular Coordinate System ◽  
Polar Coordinate ◽  
Supplementary Material ◽  
Cartesian Coordinate ◽  
Additional Exposure

Most elementary school students have experiences with a rectangular graphing system that helps to prepare them for ideas in algebra and analytic geometry. Mathematics books at the elementary school level contain a section on graphing, though it is often one of the later chapters, where it may be treated as supplementary material. In science and in social studies, students may find various data graphed or may have a project in which they have to graph daily temperatures, rainfall, or test scores. Biorhythms, record sales charts, or, for the more ambitious, the daily stock market give additional exposure. Designing graphics on the computer monitor often requires some placement by a rectangular coordinate system. By the time students meet the Cartesian coordinate system with its x- and y-axes and use it to graph equations, the idea and techniques should be somewhat familiar.

Research on Application of NC Polish-Grinding of Valve Stem and Instantaneous Compensation of Grinding Wheel

2011 ◽  
Vol 487 ◽  
pp. 515-520
Author(s):  
Ying Liang Yu ◽  
W.M. Li ◽  
Zhi Yi Miao ◽  
De Qing Yang
Keyword(s):  
Coordinate System ◽  
Open Loop ◽  
Grinding Wheel ◽  
Polar Coordinate System ◽  
Rectangular Coordinate System ◽  
Nc System ◽  
Polar Coordinate ◽  
In Series ◽  
Grinding Machine ◽  
Research On Application

According to the example of using a common grinding and composition of parts processing movement and achievement elements, the design of construction of special NC technologies in ordinary grinding machine was formulated. . The grinding and polish-grinding were performed by using two NC systems in series to achieve multi-axis movement. The function and application scope of NC technology were expanded because the instantaneous compensation of the grinding wheel and the polish-grinding wheel were performed under a rectangular coordinate system and a polar coordinate system by using an open loop NC system. The application of surface recovery of grinding wheel by NC reconstruction and extension applications of processing the track of involute curve were referred.

Research on Application of NC Polish-Grinding of Valve Stem and Instantaneous Compensation of Grinding Wheel

2012 ◽  
Vol 163 ◽  
pp. 191-195
Author(s):  
Ying Liang Yu ◽  
Zhan Li Huang ◽  
De Qing Yang ◽  
Zhi Yi Miao
Keyword(s):  
Coordinate System ◽  
Open Loop ◽  
Grinding Wheel ◽  
Polar Coordinate System ◽  
Rectangular Coordinate System ◽  
Nc System ◽  
Polar Coordinate ◽  
In Series ◽  
Grinding Machine ◽  
Research On Application

According to the example of using a common grinding and composition of parts processing movement and achievement elements, the design of construction of special NC technologies in ordinary grinding machine was formulated. . The grinding and polish-grinding were performed by using two NC systems in series to achieve multi-axis movement. The function and application scope of NC technology were expanded because the instantaneous compensation of the grinding wheel and the polish-grinding wheel were performed under a rectangular coordinate system and a polar coordinate system by using an open loop NC system. The application of surface recovery of grinding wheel by NC reconstruction and extension applications of processing the track of involute curve were referred.

scholarly journals Two-Stage Linear Three-Phase State Estimation Formulation for Active Distribution Network

2018 ◽  
Author(s):  
Yuntao Ju
Keyword(s):  
Coordinate System ◽  
State Estimation ◽  
Reactive Power ◽  
Distribution Network ◽  
Polar Coordinate System ◽  
Rectangular Coordinate System ◽  
Linear Measurements ◽  
Two Stage ◽  
Linear State ◽  
Node Voltage

Linear state estimation (SE) formulation under a rectangular coordinate system has been proved to be applicable for real-time distribution network management. Micro phasor measurements’ model can be accommodated into this kind of SE easily. However, voltage magnitude, active power and reactive power measurements are transformed to linear measurements with large node voltage error. To cope with this issue, a linear state estimation under a polar coordinate system is adopted at the first stage to obtain accurate enough complex node voltage, and then nonlinear measurements are transformed to be linear with complex node voltage. At the second stage, linear SE under a rectangular coordinate system can be adopted to satisfy more strict network constraints. The proposed two-stage linear SE is validated on balanced 14, 33, 70,84, 119, 135 nodes network and IEEE 13, 34, 37,123 unbalanced test feeders.

Natural Frequencies and Mode Shapes of Elliptic Plates With Boundary Characteristic Orthogonal Polynomials As Assumed Shape Functions

1991 ◽  
Author(s):  
C. Rajalingham ◽  
R. B. Bhat ◽  
G. D. Xistris
Keyword(s):  
Coordinate System ◽  
Orthogonal Polynomials ◽  
Natural Frequencies ◽  
Ritz Method ◽  
Mode Shapes ◽  
Polar Coordinate System ◽  
Free Boundaries ◽  
Natural Modes ◽  
Polar Coordinate ◽  
Boundary Characteristic

Abstract The natural frequencies and natural modes of vibration of uniform elliptic plates with clamped, simply supported and free boundaries are investigated using Rayleigh-Ritz method. A modified polar coordinate system is used to investigate the problem. Energy expressions in Cartesian coordinate system are transformed into the modified polar coordinate system. Boundary characteristic orthogonal polynomials in the radial direction, and trigonometric functions in the angular direction are used to express the deflection of the plate. These deflection shapes are classified into four basic categories, depending on its symmetrical or antisymmetrical property about the major and minor axes of the ellipse. The first six natural modes in each of the above categories are presented in the form of contour plots.

A novel model-based pitch conversion method for Mandarin speech

2009 ◽  
Author(s):  
Hsin-Te Hwang ◽  
Chen-Yu Chiang ◽  
Po-Yi Sung ◽  
Sin-Horng Chen
Keyword(s):  
Model Based ◽  
Conversion Method ◽  
Novel Model
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