This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, ba...This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, based on the refined fomulas on the decomposition of waves, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution to the Cauchy problem.展开更多
针对在低信噪比、观测点数较少情况下稀疏度的欠估计问题,提出了一种基于贝叶斯预测密度的弱匹配追踪频谱检测算法。该算法利用贝叶斯预测密度理论推导出罚函数,然后引入弱匹配策略于Co Sa MP算法,提高频谱支撑集估计性能,且减弱受稀疏...针对在低信噪比、观测点数较少情况下稀疏度的欠估计问题,提出了一种基于贝叶斯预测密度的弱匹配追踪频谱检测算法。该算法利用贝叶斯预测密度理论推导出罚函数,然后引入弱匹配策略于Co Sa MP算法,提高频谱支撑集估计性能,且减弱受稀疏度估计准确度的影响。仿真结果表明,当信噪比高于3 d B时,利用400个观测样本该算法就能获得90%以上的频谱检测概率,宽带频谱感知性能优于已有算法。展开更多
基金Supported by the National Natural Science Foundation of China (Grant Nos. 11071141 11271192)+4 种基金China Postdoctoral Science Foundation (Grant No. 20100481161)the Postdoctoral Foundation of Jiangsu Province (GrantNo. 1001042C)Qing Lan Project of Jiangsu Provincethe Natural Science Foundation of the Jiangsu Higher Education Committee of China (Grant No. 11KJA110001)the Natural Science Foundation of Jiangsu Provience (Grant No. BK2011777)
文摘This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, based on the refined fomulas on the decomposition of waves, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution to the Cauchy problem.
文摘针对在低信噪比、观测点数较少情况下稀疏度的欠估计问题,提出了一种基于贝叶斯预测密度的弱匹配追踪频谱检测算法。该算法利用贝叶斯预测密度理论推导出罚函数,然后引入弱匹配策略于Co Sa MP算法,提高频谱支撑集估计性能,且减弱受稀疏度估计准确度的影响。仿真结果表明,当信噪比高于3 d B时,利用400个观测样本该算法就能获得90%以上的频谱检测概率,宽带频谱感知性能优于已有算法。
