Let otherwise and F(x,y).be a continuous distribution function on R^2. Then there exist linear wavelet operators L_n(F,x,y)which are also distribution function and where the defining them mother wavelet is(x,y).These ...Let otherwise and F(x,y).be a continuous distribution function on R^2. Then there exist linear wavelet operators L_n(F,x,y)which are also distribution function and where the defining them mother wavelet is(x,y).These approximate F(x,y)in the supnorm.The degree of this approximation is estimated by establishing a Jackson type inequality.Furthermore we give generalizations for the case of a mother wavelet ≠,which is just any distribution function on R^2,also we extend these results in R^r,r>2.展开更多
Recently,much interest has been given tomulti-granulation rough sets (MGRS), and various types ofMGRSmodelshave been developed from different viewpoints. In this paper, we introduce two techniques for the classificati...Recently,much interest has been given tomulti-granulation rough sets (MGRS), and various types ofMGRSmodelshave been developed from different viewpoints. In this paper, we introduce two techniques for the classificationof MGRS. Firstly, we generate multi-topologies from multi-relations defined in the universe. Hence, a novelapproximation space is established by leveraging the underlying topological structure. The characteristics of thenewly proposed approximation space are discussed.We introduce an algorithmfor the reduction ofmulti-relations.Secondly, a new approach for the classification ofMGRS based on neighborhood concepts is introduced. Finally, areal-life application from medical records is introduced via our approach to the classification of MGRS.展开更多
In this paper,we first solve the Dirichlet problem forα-Hermite-Yang-Mills-Higgs equations on I_(±)-Higgs bundles over a compact generalized Kahler manifold.Then we prove that theα-semi-stability on I_(±)-...In this paper,we first solve the Dirichlet problem forα-Hermite-Yang-Mills-Higgs equations on I_(±)-Higgs bundles over a compact generalized Kahler manifold.Then we prove that theα-semi-stability on I_(±)-Higgs bundles over closed generalized Kahler manifolds implies the existence of approximateα-Hermite-Yang-Mills-Higgs structure.展开更多
A compact common-mode filter is proposed to suppress common-mode noise for application of high-speed differential signal traces. The filter adopts one big C-shaped defected ground structure （DGS） cell in the left of...A compact common-mode filter is proposed to suppress common-mode noise for application of high-speed differential signal traces. The filter adopts one big C-shaped defected ground structure （DGS） cell in the left of ground plane and two small C-shaped DGS cells with opposite direction in the right of ground plane. Because these DGS cells have different dimensions, the filter has three adjacent equivalent resonant points, which can suppress wideband common-mode noise effectively. The left C-shaped DGS and its adjacent C-shaped DGS cell form an approximate closed structure, which can efficiently reduce the influence of the mutual capacitance. The filter provides a common-mode suppression from 3.6 GHz to 14.4 GHz over 15 dB while it has a small size of 10 minx 10 mm. The fractional bandwidth of the filter is 120%, and the differential signals still keep good signal integrity. The experimental results are in good agreement with the simulated results.展开更多
Modal identification involves estimating the modal parameters, such as modal frequencies, damping ratios, and mode shapes, of a structural system from measured data. Under the condition that noisy impulse response sig...Modal identification involves estimating the modal parameters, such as modal frequencies, damping ratios, and mode shapes, of a structural system from measured data. Under the condition that noisy impulse response signals associated with multiple input and output locations have been measured, the primary objective of this study is to apply the local or global noise removal technique for improving the modal identification based on the polyreference time domain (PTD) method. While the traditional PTD method improves modal parameter estimation by over-specifying the computational model order to absorb noise, this paper proposes an approach using the actual system order as the computational model order and rejecting much noise prior to performing modal parameter estimation algorithms. Two noise removal approaches are investigated: a "local" approach which removes noise from one signal at a time, and a "global" approach which removes the noise of multiple measured signals simultaneously. The numerical investigation in this article is based on experimental measurements from two test setups: a cantilever beam with 3 inputs and 10 outputs, and a hanged plate with 4 inputs and 32 outputs. This paper demonstrates that the proposed noise-rejection method outperforms the traditional noise-absorption PTD method in several crucial aspects.展开更多
In this paper,we establish a generalized Hitchin–Kobayashi correspondence between theτ-semi-stability and the existence of approximateτ-Hermitian–Einstein structure on holomorphic pair(E,φ)over the compact Gauduc...In this paper,we establish a generalized Hitchin–Kobayashi correspondence between theτ-semi-stability and the existence of approximateτ-Hermitian–Einstein structure on holomorphic pair(E,φ)over the compact Gauduchon manifold.展开更多
In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair （E,φ）. As an application...In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair （E,φ）. As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.展开更多
The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity me...The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity method,we prove the existence of approximateτ-Hermitian-Einstein structure on holomorphic filtrations over closed Gauduchon manifolds.展开更多
This paper presents a 10-bit 80-MS/s successive approximation register（SAR） analog-to-digital converter （ADC） suitable for integration in a system on a chip（SoC）.By using the top-plate-sample switching scheme an...This paper presents a 10-bit 80-MS/s successive approximation register（SAR） analog-to-digital converter （ADC） suitable for integration in a system on a chip（SoC）.By using the top-plate-sample switching scheme and a split capacitive array structure,the total capacitance is dramatically reduced which leads to low power and high speed.Since the split structure makes the capacitive array highly sensitive to parasitic capacitance,a three-row layout method is applied to the layout design.To overcome the charge leakage in the nanometer process,a special input stage is proposed in the comparator.As 80 MS/s sampling rate for a 10-bit SAR ADC results in around 1 GHz logic control clock,and a tunable clock generator is implemented.The prototype was fabricated in 65 nm 1P9M （one-poly-nine-metal） GP（general purpose） CMOS technology.Measurement results show a peak signal-to-noise and distortion ratio（SINAD） of 48.3 dB and 1.6 mW total power consumption with a figure of merit（FOM） of 94.8 fJ/conversion-step.展开更多
文摘Let otherwise and F(x,y).be a continuous distribution function on R^2. Then there exist linear wavelet operators L_n(F,x,y)which are also distribution function and where the defining them mother wavelet is(x,y).These approximate F(x,y)in the supnorm.The degree of this approximation is estimated by establishing a Jackson type inequality.Furthermore we give generalizations for the case of a mother wavelet ≠,which is just any distribution function on R^2,also we extend these results in R^r,r>2.
文摘Recently,much interest has been given tomulti-granulation rough sets (MGRS), and various types ofMGRSmodelshave been developed from different viewpoints. In this paper, we introduce two techniques for the classificationof MGRS. Firstly, we generate multi-topologies from multi-relations defined in the universe. Hence, a novelapproximation space is established by leveraging the underlying topological structure. The characteristics of thenewly proposed approximation space are discussed.We introduce an algorithmfor the reduction ofmulti-relations.Secondly, a new approach for the classification ofMGRS based on neighborhood concepts is introduced. Finally, areal-life application from medical records is introduced via our approach to the classification of MGRS.
基金Supported by the National Natural Science Foundation of China(Grant Nos.11971253,11625106,11801535,11721101)the Natural Science Foundation of Anhui Province(Grant No.1908085QA04)Partially Supported by the Project“Analysis and Geometry on Bundle”of Ministry of Science and Technology of the People’s Republic of China(Grant No.SQ2020YFA070080)。
文摘In this paper,we first solve the Dirichlet problem forα-Hermite-Yang-Mills-Higgs equations on I_(±)-Higgs bundles over a compact generalized Kahler manifold.Then we prove that theα-semi-stability on I_(±)-Higgs bundles over closed generalized Kahler manifolds implies the existence of approximateα-Hermite-Yang-Mills-Higgs structure.
基金supported by the National Science and Technology Major Project (2012ZX03002-001-02)the Fundamental Research Funds for the Central Universities of China (JB151109)
文摘A compact common-mode filter is proposed to suppress common-mode noise for application of high-speed differential signal traces. The filter adopts one big C-shaped defected ground structure （DGS） cell in the left of ground plane and two small C-shaped DGS cells with opposite direction in the right of ground plane. Because these DGS cells have different dimensions, the filter has three adjacent equivalent resonant points, which can suppress wideband common-mode noise effectively. The left C-shaped DGS and its adjacent C-shaped DGS cell form an approximate closed structure, which can efficiently reduce the influence of the mutual capacitance. The filter provides a common-mode suppression from 3.6 GHz to 14.4 GHz over 15 dB while it has a small size of 10 minx 10 mm. The fractional bandwidth of the filter is 120%, and the differential signals still keep good signal integrity. The experimental results are in good agreement with the simulated results.
基金supported by the National Natural Science Foundation of China (Grant Nos. 51079134 and 51009124)the NSFC Major International Joint Research Project (Grant No. 51010009)+2 种基金the Program for Changjiang Scholars and Innovative Research Team in University (Grant No. PCSIRT 1086)the Natural Science Foundation of Shandong Province(Grant Nos. ZR2011EEQ022 and 2009ZRA05100)the Fundamental Research Funds for the Central Universities (Grant Nos. 27R1202008A and27R1002076A)
文摘Modal identification involves estimating the modal parameters, such as modal frequencies, damping ratios, and mode shapes, of a structural system from measured data. Under the condition that noisy impulse response signals associated with multiple input and output locations have been measured, the primary objective of this study is to apply the local or global noise removal technique for improving the modal identification based on the polyreference time domain (PTD) method. While the traditional PTD method improves modal parameter estimation by over-specifying the computational model order to absorb noise, this paper proposes an approach using the actual system order as the computational model order and rejecting much noise prior to performing modal parameter estimation algorithms. Two noise removal approaches are investigated: a "local" approach which removes noise from one signal at a time, and a "global" approach which removes the noise of multiple measured signals simultaneously. The numerical investigation in this article is based on experimental measurements from two test setups: a cantilever beam with 3 inputs and 10 outputs, and a hanged plate with 4 inputs and 32 outputs. This paper demonstrates that the proposed noise-rejection method outperforms the traditional noise-absorption PTD method in several crucial aspects.
文摘In this paper,we establish a generalized Hitchin–Kobayashi correspondence between theτ-semi-stability and the existence of approximateτ-Hermitian–Einstein structure on holomorphic pair(E,φ)over the compact Gauduchon manifold.
文摘In this paper, we establish a generalized Hitchin-Kobayashi correspondence between the τ-semi-stability and the existence of approximate τ-Hermitian-Einstein structure on holomorphic pair （E,φ）. As an application, we obtain the Bogomolov type inequality for τ-semi-stable holomorphic pair.
基金Pan Zhang is supported by the Fundamental Research Funds for the Central Universities(No.19lgpy239).
文摘The purpose of this paper is twofold.We first solve the Dirichlet problem forτ-Hermitian-Einstein equations on holomorphic filtrations over compact Hermitian manifolds.Secondly,by using Uhlenbeck-Yau’s continuity method,we prove the existence of approximateτ-Hermitian-Einstein structure on holomorphic filtrations over closed Gauduchon manifolds.
基金supported by the PhD Programs Foundation of the Ministry of Education of China(No.20110071110014)the State Key Program of National Natural Science of China(No.61234002)
文摘This paper presents a 10-bit 80-MS/s successive approximation register（SAR） analog-to-digital converter （ADC） suitable for integration in a system on a chip（SoC）.By using the top-plate-sample switching scheme and a split capacitive array structure,the total capacitance is dramatically reduced which leads to low power and high speed.Since the split structure makes the capacitive array highly sensitive to parasitic capacitance,a three-row layout method is applied to the layout design.To overcome the charge leakage in the nanometer process,a special input stage is proposed in the comparator.As 80 MS/s sampling rate for a 10-bit SAR ADC results in around 1 GHz logic control clock,and a tunable clock generator is implemented.The prototype was fabricated in 65 nm 1P9M （one-poly-nine-metal） GP（general purpose） CMOS technology.Measurement results show a peak signal-to-noise and distortion ratio（SINAD） of 48.3 dB and 1.6 mW total power consumption with a figure of merit（FOM） of 94.8 fJ/conversion-step.
