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l_1-analysis稀疏重构在阵列信号恢复及波达角估计中的应用 被引量:1
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作者 林波 张增辉 朱炬波 《国防科技大学学报》 EI CAS CSCD 北大核心 2013年第5期152-157,共6页
通过适当的空域稀疏化构造了可对阵列接收信号进行冗余稀疏表示的阵列流形矩阵,建立了相应的l1-analysis稀疏重构模型,用于恢复阵列接收信号,重点证明了该流形矩阵是满足l1-analysis稀疏重构条件的紧框架,从理论上保证了将l1-analysis... 通过适当的空域稀疏化构造了可对阵列接收信号进行冗余稀疏表示的阵列流形矩阵,建立了相应的l1-analysis稀疏重构模型,用于恢复阵列接收信号,重点证明了该流形矩阵是满足l1-analysis稀疏重构条件的紧框架,从理论上保证了将l1-analysis稀疏重构用于阵列接收信号恢复及波达角估计问题的合理性,并推导出信号恢复误差的理论上界。利用在微波暗室环境中采集的实测数据,结合MUSIC算法进行实验验证,结果表明基于l1-analysis稀疏重构的信号恢复对提高低信噪比环境下的波达角估计性能是有效的。 展开更多
关键词 (l1)-analysis稀疏重构 冗余稀疏表示 阵列信号处理 波达角估计 低信噪比
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Match Point Solution for Robust Flutter Analysis in Constant-Mach Prediction 被引量:9
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作者 Yun Haiwei Han Jinglong 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 2008年第2期105-114,共10页
This paper presents a method for robust flutter computation which uses flight altitude as the perturbation variable in order to obtain a match point solution. The air density and sound speed of standard atmosphere mod... This paper presents a method for robust flutter computation which uses flight altitude as the perturbation variable in order to obtain a match point solution. The air density and sound speed of standard atmosphere model are approximated as the polynomial function of altitude, such that the flight altitude becomes the single perturbation variable that describes the aeroelastic system. The uncertainties of generalized stiffness and damping are considered and the uncertain aeroelastic system can be formulated as linear fractional transformation (LFT) representation which is suitable for/.t analysis framework. Finally, the match point solutions of robust flutter margins can be computed with structured singular value (SSV) theory. The robust flutter analysis method provided in this paper is suitable for constant-Mach flight flutter test and provides valuable reference for flight envelope expansion. 展开更多
关键词 robust flutter μ-analysis uncertainty PERTURBATION flight flutter test
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一般对偶框架下基于l_p(0
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作者 吴焚供 张然然 +1 位作者 覃耀海 钟彭洪 《中山大学学报(自然科学版)》 CAS CSCD 北大核心 2015年第6期46-49,共4页
压缩感知理论指出,只要信号是可压缩的或稀疏的,就能以较低的频率采样信号,并能高概率的重构该信号。在实际的应用中,许多信号只能在某些框架下具有稀疏表示,而无法在正交基下获得稀疏表示。针对这一类信号的恢复,一般采取的是l1-analy... 压缩感知理论指出,只要信号是可压缩的或稀疏的,就能以较低的频率采样信号,并能高概率的重构该信号。在实际的应用中,许多信号只能在某些框架下具有稀疏表示,而无法在正交基下获得稀疏表示。针对这一类信号的恢复,一般采取的是l1-analysis方法。近期有些相关研究考虑了一般对偶框架下基于l1-analysis方法的信号恢复问题,在比前期l1-analysis方法更弱的条件下得到了更好的恢复结果。受此启发,我们考虑了一般对偶框架下,基于l_p(0<p≤1)最小化的信号恢复。对现有的工作做了理论推广。 展开更多
关键词 压缩感知 信号恢复 框架 对偶框架 l1-analysis
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Alternating Direction Method for Separable Variables Under Pair-Wise Constraints
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作者 Jiaojiao Yang Yusheng Li +1 位作者 Xinchang Xie Zhouwang Yang 《Communications in Mathematics and Statistics》 SCIE 2017年第1期59-82,共24页
While the convergence of alternating direction method(ADM)for two sep-arable variables has been established for years,the validity of its direct generalizationto more than two blocks has been studying now.In this pape... While the convergence of alternating direction method(ADM)for two sep-arable variables has been established for years,the validity of its direct generalizationto more than two blocks has been studying now.In this paper,we propose an additionalrequirement on the constraints,i.e.,the pair-wise linear constraints and establish theconvergence of ADM for more than two blocks.Then we apply our approach to twokinds of optimization problems.We also show several numerical experiments to verifythe rationality of proposed algorithm. 展开更多
关键词 Alternating direction method Convergence analysis Pair-wise constraints l1-analysis problem
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