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混合最小化问题下重构块稀疏信号的充分条件 被引量:1
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作者 卜京 王金平 《武汉大学学报(理学版)》 CAS CSCD 北大核心 2021年第2期185-189,共5页
基于混合最小化问题,提出了测量矩阵的块鲁棒零空间特性(robust null space property,rNSP),在有噪声情况下证明rNSP是稳定重构块稀疏信号的充分条件。并且当块限制等距常数小于0.453 1时,证明块限制等距性蕴含着块鲁棒零空间特性。
关键词 块鲁棒零空间特性 块限制等距性 混合最小化 块稀疏
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通过混合l_(2)/l_(1)范数最小化实现块稀疏信号恢复
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作者 李坤 王会敏 《绍兴文理学院学报》 2022年第10期53-59,共7页
块稀疏信号恢复问题在很多领域都有非常重要的应用.将Karmalkar用于处理稀疏信号问题的方法推广至块稀疏信号,研究带噪声的块稀疏信号恢复问题,通过混合l_(2)/l_(1)范数最小化和高斯矩阵的性质,可以得到最小测量误差,精确地恢复块稀疏信号.
关键词 块稀疏信号 噪声 高斯矩阵 混合l_(2)/l_(1)范数最小
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基于非凸优化模型的块稀疏信号恢复条件 被引量:2
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作者 周珺 黄尉 《应用数学和力学》 CSCD 北大核心 2019年第2期167-180,共14页
压缩感知(compressed sensing,CS)是一种全新的信息采集与处理理论,它表明稀疏信号能够在远低于Shannon-Nyquist采样率的条件下被精确重构.现从压缩感知理论出发,对块稀疏信号重构算法进行研究,通过混合l2/lq(0 <q≤1)极小化方法,利... 压缩感知(compressed sensing,CS)是一种全新的信息采集与处理理论,它表明稀疏信号能够在远低于Shannon-Nyquist采样率的条件下被精确重构.现从压缩感知理论出发,对块稀疏信号重构算法进行研究,通过混合l2/lq(0 <q≤1)极小化方法,利用块-限制等距性质建立一类改进的精确恢复条件(无噪声情形),并给出有噪声情形下的误差分析结果. 展开更多
关键词 压缩感知 块-限制等距性质 块稀疏信号 混合l2/lq最小
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Extreme value distributions of mixing two sequences with different MDA's 被引量:2
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作者 蒋岳祥 《Journal of Zhejiang University Science》 CSCD 2004年第5期509-517,共9页
Suppose {Xi, i≥1} and {Yi, i≥1} are two independent sequences with distribution functions FX(x) and FY(x), respectively. Zi is the combination of Xi and Yi with a probability pn for each i with 1≤i≤n. The extreme ... Suppose {Xi, i≥1} and {Yi, i≥1} are two independent sequences with distribution functions FX(x) and FY(x), respectively. Zi is the combination of Xi and Yi with a probability pn for each i with 1≤i≤n. The extreme value distribution ,n GZ(x) of this particular triangular array of the i.i.d. random variables Z1, , Z2, ,…, Zn n n ,nis discussed. We found a new form of the extreme value distribution ΛA(ρx)Λ(x)(0<ρ <1), which is not max-stable. It occurs if FX(x) and FY(x) belong to the same MDA(Λ). GZ(x) does not exist as mixture forms of the different types of extreme value distributions. 展开更多
关键词 Extreme value distribution Maximum domain of attraction(MDA) Mixed distribution functions
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Transceiver Optimization for Multi-Antenna Device-to-Device Communications 被引量:1
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作者 Daohua Zhu Yajuan Guo +4 位作者 Lei Wei Chaoyang Zhu Biyao Huang Wei Xu Chunming Zhao 《China Communications》 SCIE CSCD 2016年第5期110-121,共12页
It has been shown that the deployment of device-to-device(D2D) communication in cellular systems can provide better support for local services. However, improper design of the hybrid system may cause severe interferen... It has been shown that the deployment of device-to-device(D2D) communication in cellular systems can provide better support for local services. However, improper design of the hybrid system may cause severe interference between cellular and D2D links. In this paper, we consider transceiver design for the system employing multiple antennas to mitigate the interference. The precoder and decoder matrices are optimized in terms of sum mean squared error(MSE) and capacity, respectively. For the MSE minimization problem, we present an alternative transceiver optimization algorithm. While for the non-convex capacity maximization problem, we decompose the primal problem into a sequence of standard convex quadratic programs for efficient optimization. The evaluation of our proposed algorithms for performance enhancement of the entire D2D integrated cellular system is carried out through simulations. 展开更多
关键词 device-to-device communication interference mitigation joint transceiver design multiple antennas
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A high-resolution,hybrid compact-WENO scheme with minimized dispersion and controllable dissipation 被引量:1
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作者 SUN ZhenSheng HU Yu +2 位作者 LUO Lei ZHANG ShiYing YANG ZhengWei 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS 2014年第5期971-982,共12页
In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-dia... In this paper, a high-resolution, hybrid compact-WENO scheme is developed based on the minimized dispersion and controllable dissipation reconstruction technique. Firstly, a sufficient condition for a family oftri-diagonal compact schemes to have independent dispersion and dissipation is derived. Then, a specific 4th order compact scheme with low dispersion and adjustable dissipation is constructed and analyzed. Finally, the optimized compact scheme is blended with the WENO scheme to form the hybrid scheme. Moreover, the approximation dispersion relation approach is employed to optimize the spectral properties of the nonlinear scheme to yield the true wave propagation behavior of the finite difference scheme. Several test cases are carried out to verify the high- resolution as well as the robust shock-capturing capabilities of the proposed scheme. 展开更多
关键词 binaries: high-resolution schemes shock-capturing schemes nonlinear spectral analysis spectral optimization
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