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Effect of noncircularity on the dynamic behaviors of particles in a disformal rotating black-hole spacetime

Science China(Physics,Mechanics & Astronomy) 2022年第5期65卷 34-42页

作者： Xuan Zhou Songbai Chen Jiliang Jing Department of Physics Synergetic Innovation Center for Quantum Effects and ApplicationsHunan Normal UniversityChangsha 410081China Center for Gravitation and Cosmology College of Physical Science and TechnologyYangzhou UniversityYangzhou 225009China

A disformal rotating black-hole solution is a black-hole solution in quadratic degenerate higher-order scalar-tensor theories.It breaks the circular condition of spacetime different from the case of the usual Kerr spacetime.This study investigated the dynamic behaviors of the motion of timelike particles in such disformal black-hole spacetime with an extra deformation parameter.Results showed that the characteristics of the particle’s motion depend on the sign of the deformation parameter.For the positive deformation parameter,the motion is regular and orderly.For the negative one,as the deformation parameter changes,the motion of the particles undergoes a series of transitions between the chaotic motion and the regular motion and falls into the horizon or escapes to spatial infinity.This means that the dynamic behavior of timelike particles in the disformal Kerr black-hole spacetime with noncircularity becomes richer than that in the usual Kerr black-hole case.

关键词： disformal rotating black-hole noncircularity quadratic degenerate higher-order scalar-tensor theories chaos

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Focused Widely Linear Beamforming

引用

Journal of Beijing Institute of Technology 2019年第4期28卷 744-749页

作者： Yougen Xu Junfeng Liu Zhiwen Liu School of Information and Electronics Beijing Institute of TechnologyBeijing 100081China

The problem addressed in this paper concerns the extension of widely linear beamforming to the wideband case,developing a wide-focused linear beamformer for the extraction of a wideband second-order(SO)noncircular signal-of-interest(SOI)contaminated by uncorrelated interferences and noise.In the proposed beamformer,the beamforming array observation is first focused to adopt a standard linear minimum variance distortionless response(MVDR)framework.The augmented SOI steering vector then is obtained by estimating the SOI noncircularity parameter with the newly proposed oblique projection with an augmented sparse representation scheme.The covariance matrix of the virtual interference,true interference and noise is further reconstructed using the newly presented complementary spatial spectrum technique.The wideband widely linear spatial filtering is finally realized via MVDR like beamforming.The performance of the proposed beamformer is verified by simulation.

关键词： array signal processing adaptive beamforming direction-of-arrival estimation noncircularity wideband

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