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一类分数阶Langevin方程block⁃by⁃block算法的数值分析 被引量:2
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作者 张嫚 曹艳华 杨晓忠 《应用数学和力学》 CSCD 北大核心 2021年第6期562-574,共13页
分数阶Langevin方程有重要的科学意义和工程应用价值,基于经典block⁃by⁃block算法,求解了一类含有Caputo导数的分数阶Langevin方程的数值解.Block⁃by⁃block算法通过引入二次Lagrange基函数插值,构造出逐块收敛的非线性方程组,通过在每... 分数阶Langevin方程有重要的科学意义和工程应用价值,基于经典block⁃by⁃block算法,求解了一类含有Caputo导数的分数阶Langevin方程的数值解.Block⁃by⁃block算法通过引入二次Lagrange基函数插值,构造出逐块收敛的非线性方程组,通过在每一块耦合求得分数阶Langevin方程的数值解.在0<α<1条件下,应用随机Taylor展开证明block⁃by⁃block算法是3+α阶收敛的,数值试验表明在不同α和时间步长h取值下,block⁃by⁃block算法具有稳定性和收敛性,克服了现有方法求解分数阶Langevin方程速度慢精度低的缺点,表明block⁃by⁃block算法求解分数阶Langevin方程是高效的. 展开更多
关键词 分数阶Langevin方程 block⁃by⁃block算法 稳定性 收敛性 数值试验
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MAKING FULL USE OF OUTDATED CHANNEL ESTIMATES FOR BLOCK BY BLOCK ADAPTIVE MODULATIONS
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作者 Shan Xiaohong Bi Guangguo 《Journal of Electronics(China)》 2007年第1期54-59,共6页
This paper explores the potential to use accurate but outdated channel estimates for adaptive modulation. The work is novel in that the research is conditioned on block by block adaptation. First,we define a new quant... This paper explores the potential to use accurate but outdated channel estimates for adaptive modulation. The work is novel in that the research is conditioned on block by block adaptation. First,we define a new quantity,the Tolerable Average Use Delay (TAUD),which can indicate the ability of an adaptation scheme to tolerate the delay of channel estimation results. We find that for the variable-power schemes,TAUD is a constant and dependent on the target Bit Error Rate (BER),average power and Doppler frequency; while for the constant-power schemes,it depends on the ad-aptation block length as well. At last,we investigate the relation between the delay tolerating per-formance and the spectral efficiency and give the system design criterion. The delay tolerating per-formance is improved at the price of lower data rate. 展开更多
关键词 Adaptive modulation block by block adaptation Channel estimation Spectral efficiency
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Detrital Zircon U-Pb Geochronologyof Sinian–Cambrian Strata in the Eastern Guangxi Area, China 被引量:6
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作者 Ruxin Ding Heping Zou +5 位作者 Kyoungwon Min Feng Yin Xiaodong Du Xuxuan Ma Zhangxin Su Wenjie Shen 《Journal of Earth Science》 SCIE CAS CSCD 2017年第2期295-304,共10页
The Eastern Guangxi area locates in the southwestern part of the transition zone between Yangtze and Cathaysia blocks, which is an important region because the boundary between two blocks probablycrosses there. We det... The Eastern Guangxi area locates in the southwestern part of the transition zone between Yangtze and Cathaysia blocks, which is an important region because the boundary between two blocks probablycrosses there. We determined LA-ICPMS U-Pb ages for detrital zircons extracted from three sandstone samples in the Sinian-Cambrian strata in this region. The resulting ages are in the range of the Archeozoic and Neoproterozoic, with three notable concentrates at 991 Ma, 974 Ma, and 964 Ma, all of which are coeval to the Grenvillian magmatic activity. The new age distribution is similar to the data reported in the Precambrian strata of the adjacent southwestern Cathaysia Block, suggesting that most of our detrital zircons are likely derived from the Cathaysia Block. Combined with others' research, we are more inclined to accept the opinion that there was not an ocean basin between the two blocks during the Sinian-Cambrian period in Eastern Guangxi area if the timing of collision is the Early Neoproterzoic. But if the timing of collision is the Early Paleozoic, we conclude that Luzhai uplift(i.e., the uplift between Guilin-Yongfu faultand Lipu fault) beyond the west of Dayaoshan regoin might be one part of southwestern sedimentation boundary of Cathaysia Block and Yangtze Block. We also get a few of detrital zircons with ages of ~590 Ma which probably sourced from northeastern Gondwana and 13 detrital zircons with over 3 000 Ma U-Pb ages which record the early formation of the earth. 展开更多
关键词 Cathaysia block Yangtze block eastern Guangxi area detrital zircon U-Pb dating
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Non-Blind Image Deblurring Method Using Shear High Order Total Variation Norm 被引量:1
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作者 LU Lixuan ZHANG Tao 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2021年第6期495-506,共12页
In this paper,we propose a shear high-order gradient(SHOG)operator by combining the shear operator and high-order gradient(HOG)operator.Compared with the HOG operator,the proposed SHOG operator can incorporate more di... In this paper,we propose a shear high-order gradient(SHOG)operator by combining the shear operator and high-order gradient(HOG)operator.Compared with the HOG operator,the proposed SHOG operator can incorporate more directionality and detect more abundant edge information.Based on the SHOG operator,we extend the total variation(TV)norm to shear high-order total variation(SHOTV),and then propose a SHOTV deblurring model.We also study some properties of the SHOG operator,and show that the SHOG matrices are Block Circulant with Circulant Blocks(BCCB)when the shear angle isπ/4.The proposed model is solved efficiently by the alternating direction method of multipliers(ADMM).Experimental results demonstrate that the proposed method outperforms some state-of-the-art non-blind deblurring methods in both objective and perceptual quality. 展开更多
关键词 image deblurring high-order TV norm block Circulant with Circulant blocks(BCCB)matrix shear operator alternating direction method of multipliers(ADMM)
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Non-Blind Image Deblurring via Shear Total Variation Norm 被引量:1
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作者 LI Weiyu ZHANG Tao GAO Qiuli 《Wuhan University Journal of Natural Sciences》 CAS CSCD 2024年第3期219-227,共9页
In this paper, we propose a novel shear gradient operator by combining the shear and gradient operators. The shear gradient operator performs well to capture diverse directional information in the image gradient domai... In this paper, we propose a novel shear gradient operator by combining the shear and gradient operators. The shear gradient operator performs well to capture diverse directional information in the image gradient domain. Based on the shear gradient operator, we extend the total variation(TV) norm to the shear total variation(STV) norm by adding two shear gradient terms. Subsequently, we introduce a shear total variation deblurring model. Experimental results are provided to validate the ability of the STV norm to capture the detailed information. Leveraging the Block Circulant with Circulant Blocks(BCCB) structure of the shear gradient matrices, the alternating direction method of multipliers(ADMM) algorithm can be used to solve the proposed model efficiently. Numerous experiments are presented to verify the performance of our algorithm for non-blind image deblurring. 展开更多
关键词 image deblurring shear total variation(STV)norm alternating direction method of multipliers(ADMM) block Circulant with Circulant blocks(BCCB)matrix
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Key technologies and risk management of deep tunnel construction at Jinping Ⅱ hydropower station 被引量:1
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作者 Chunsheng Zhang Ning Liu Weijiang Chu 《Journal of Rock Mechanics and Geotechnical Engineering》 SCIE CSCD 2016年第4期499-512,共14页
Tunneling in complex rock mass conditions is a challenging task, especially in the Himalayan terrain, where a number of unpredicted conditions are reported. Rock joint parameters such as persistence, spacing and shear... Tunneling in complex rock mass conditions is a challenging task, especially in the Himalayan terrain, where a number of unpredicted conditions are reported. Rock joint parameters such as persistence, spacing and shear strength are the factors which significantly modify the working environments in the vicinity of the openings. Therefore, a detailed tunnel stability assessment is critically important based on the field data collection on the excavated tunnel's face. In this context, intact as well as rock mass strength and deformation modulus is obtained from laboratory tests for each rock type encountered in the study area. Finite element method(FEM) is used for stability analysis purpose by parametrically varying rock joint persistence, spacing and shear strength parameters, until the condition of overbreak is reached. Another case of marginally stable condition is also obtained based on the same parameters. The results show that stability of tunnels is highly influenced by these parameters and the size of overbreak is controlled by joint persistence and spacing. Garnetiferous schist and slate characterized using high persistence show the development of large plastic zones but small block size, depending upon joint spacing; whereas low persistence, low spacing and low shear strength in marble and quartzite create rock block fall condition. 展开更多
关键词 Joint strength Joint spacing Persistence block size Overbreak block fall
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A Fast Fractal Image Compression Coding Method
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作者 XU Chang man 1, ZHANG Zhao yang School of Communication and Information Engineering, Shanghai University, Shanghai 200072, China 《Journal of Shanghai University(English Edition)》 CAS 2001年第1期57-59,共3页
Fast algorithms for reducing encoding complexity of fractal image coding have recently been an important research topic. Search of the best matched domain block is the most computation intensive part of the fractal en... Fast algorithms for reducing encoding complexity of fractal image coding have recently been an important research topic. Search of the best matched domain block is the most computation intensive part of the fractal encoding process. In this paper, a fast fractal approximation coding scheme implemented on a personal computer based on matching in range block's neighbours is presented.Experimental results show that the proposed algorithm is very simple in implementation, fast in encoding time and high in compression ratio while PSNR is almost the same as compared with Barnsley's fractal block coding . 展开更多
关键词 neighbour fractal block coding range block domain block iterated function system
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Use of Delayed Channel Estimation Results in Adaptive Modulation
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作者 单晓红 王凤英 +1 位作者 郭银景 李瑾 《Journal of Measurement Science and Instrumentation》 CAS 2011年第3期260-263,共4页
In this paper,potential use of perfect but delayed channel estimates for variable-power discrete-rate adaptive modulation is explored.Research is concentrated on block by block adaptation.At first,a new quantity-TAUD(... In this paper,potential use of perfect but delayed channel estimates for variable-power discrete-rate adaptive modulation is explored.Research is concentrated on block by block adaptation.At first,a new quantity-TAUD(Tolerable Average Use Delay)is defined,it quantifies the performance of an adaptation scheme in tolerating the delay of channel estimates.Then,the research on TAUD shows that the delay tolerating performance declines with the increase in average power,the scheme working with more modulation modes can tolerate a longer delay,and such improvement will be more significant with the increase of average power.Finally,it shows that,as the delay tolerating performance determines the maximum block length,it has a great effect on the maximum spectral efficiency.The criterion for determining the block length appropriate for the target BER is described and a simple method of calculating the maximum block length is presented. 展开更多
关键词 delayed channel estimates adaptive modulation block by block adaptation BER maximum block length spectral efficiency
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PRODUCT IMAGE RETRIEVAL BASED ON CO-FEATURES OF THE OBJECT
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作者 Fu Haiyan Kong Xiangwei t Yang Nan Zhou Jianhui Chu Fengtao 《Journal of Electronics(China)》 2010年第6期815-821,共7页
In this paper, we propose a product image retrieval method based on the object contour corners, image texture and color. The product image mainly highlights the object and its background is very simple. According to t... In this paper, we propose a product image retrieval method based on the object contour corners, image texture and color. The product image mainly highlights the object and its background is very simple. According to these characteristics, we represent the object using its contour, and detect the corners of contour to reduce the number of pixels. Every corner is described using its approximate curvature based on distance. In addition, the Block Difference of Inverse Probabilities (BDIP) and Block Variation of Local Correlation (BVLC) texture features and color moment are extracted from image's HIS color space. Finally, dynamic time warping method is used to match features with different length. In order to demonstrate the effect of the proposed method, we carry out experiments in Mi-crosoft product image database, and compare it with other feature descriptors. The retrieval precision and recall curves show that our method is feasible. 展开更多
关键词 Product image retrieval Multi-features Approximate curvature based on distance block Difference of Inverse Probabilities (BDIP) and block Variation of Local Correlation (BVLC) texture features Color moment
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