scholarly journals Two Discrete-Euclidean Operations Based on the Scaling Transform

2006 ◽  
pp. 41-52 ◽  
Author(s):  
Gaëlle Largeteau-Skapin ◽  
Eric Andres
Keyword(s):  
Scaling Transform

scholarly journals Scaling Transform Based Information Geometry Method for DOA Estimation

2019 ◽  
Vol 55 (6) ◽  
pp. 3640-3650 ◽  
Author(s):  
Yang-Yang Dong ◽  
Chun-Xi Dong ◽  
Wei Liu ◽  
Ming-Ming Liu ◽  
Zheng-Zhao Tang
Keyword(s):  
Doa Estimation ◽  
Information Geometry ◽  
Scaling Transform ◽  
Geometry Method

Calculation of the photoelectron spectra under a scaling transform

2013 ◽  
Vol 22 (1) ◽  
pp. 013207
Author(s):  
Hui-Liang Ye ◽  
Yan Wu ◽  
Jing-Tao Zhang ◽  
Chu-Yin Shao
Keyword(s):  
Photoelectron Spectra ◽  
Scaling Transform

Scaling Transform and Stretched States in Quantum Mechanics

2016 ◽  
Vol 37 (5) ◽  
pp. 434-439 ◽  
Author(s):  
Vladimir A. Andreev ◽  
Dragomir M. Davidović ◽  
Ljubica D. Davidović ◽  
Milena D. Davidović ◽  
Miloš D. Davidović ◽  
...  
Keyword(s):  
Quantum Mechanics ◽  
Scaling Transform

Scaling Transform Method for Remotely Sensed FAPAR Based on FAPAR-P Model

2015 ◽  
Vol 12 (4) ◽  
pp. 706-710 ◽  
Author(s):  
Lu Wang ◽  
Wenjie Fan ◽  
Xiru Xu ◽  
Yuan Liu
Keyword(s):  
Remotely Sensed ◽  
Transform Method ◽  
Scaling Transform

scholarly journals Partial positive scaling transform: a separability criterion

2005 ◽  
Vol 339 (3-5) ◽  
pp. 194-206 ◽  
Author(s):  
Olga V. Man'ko ◽  
V.I. Man'ko ◽  
G. Marmo ◽  
Anil Shaji ◽  
E.C.G. Sudarshan ◽  
...  
Keyword(s):  
Separability Criterion ◽  
Scaling Transform

scholarly journals A Bistatic Imaging Method for GEOSAR in the Strip Mode and UAVSAR in the Steering Beam Mode

2018 ◽  
Vol 2018 ◽  
pp. 1-12
Author(s):  
W. Zhuo-qun ◽  
L. Ya-jun ◽  
S. Sheng ◽  
L. Shuang-shuang ◽  
X. Jin-guo ◽  
...  
Keyword(s):  
Earth Orbit ◽  
Imaging Method ◽  
Static State ◽  
Orbital Inclination ◽  
Imaging Algorithm ◽  
Scaling Transform ◽  
Aerial Vehicle ◽  
Frequency Aliasing ◽  
Progressive Scan ◽  
Beam Mode

The bistatic configuration with a geosynchronous orbital SAR (GEOSAR) transmitter and unmanned aerial vehicle SAR (UAVSAR) receiver can continuously image in any dangerous and interesting district. In this paper, the new imaging method in the case with the smaller orbital inclination of geosynchronous earth orbit and the steering beam working mode of UAVSAR was mainly studied and analyzed. GEOSAR can be approximately expressed as a static state, and only the receiver provides all the Doppler information. UAVSAR works in the steering beam modes, such as spotlight, sliding spotlight, and TOPS (Terrain Observation by Progressive Scan) mode. The azimuth bandwidth increased by the steering beam causes an aliasing situation in the azimuth frequency domain. To solve this problem, the proposed imaging method corrects the azimuth frequency aliasing using the scaling transform and the bulk azimuth compression. Compared with the traditional imaging method, the simulation validates perfectly the effectiveness of the bistatic imaging algorithm.

NUMERICAL INVESTIGATION OF THREE-DIMENSIONAL HAUSDORFF DERIVATIVE ANOMALOUS DIFFUSION MODEL

Fractals ◽  
2020 ◽  
Vol 28 (02) ◽  
pp. 2050020 ◽  
Author(s):  
WEI CAI ◽  
FAJIE WANG
Keyword(s):  
Diffusion Equation ◽  
Anomalous Diffusion ◽  
Numerical Experiments ◽  
Three Dimensional ◽  
Fundamental Solutions ◽  
Method Of Fundamental Solutions ◽  
Efficient Tool ◽  
Scaling Transform ◽  
Diffusion Phenomena ◽  
Temporal And Spatial

The Hausdorff derivative has been recognized as an efficient tool to characterize anomalous diffusion phenomena. This paper makes the first attempt to numerically investigate three-dimensional Hausdorff derivative diffusion equation by the method of fundamental solutions. The fundamental solution of the three-dimensional Hausdorff derivative diffusion equation is closely related to scaling transform and non-Euclidean Hausdorff fractal distance. The used method, as a meshless technique, is simple, accurate and efficient for solving the partial differential equations with fundamental solutions. Three numerical experiments have been conducted to reveal the effectiveness and rationality of Hausdorff derivative anomalous diffusion models with various temporal and spatial fractal orders, as well as the accuracy of the developed methodology.

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