Compressed sensing offers a new wideband spectrum sensing scheme in Cognitive Radio (CR). A major challenge of this scheme is how to determinate the required measurements while the signal sparsity is not known a prior...Compressed sensing offers a new wideband spectrum sensing scheme in Cognitive Radio (CR). A major challenge of this scheme is how to determinate the required measurements while the signal sparsity is not known a priori. This paper presents a cooperative sensing scheme based on se-quential compressed sensing where sequential measurements are collected from the analog-to-information converters. A novel cooperative compressed sensing recovery algorithm named Simul-taneous Sparsity Adaptive Matching Pursuit (SSAMP) is utilized for sequential compressed sensing in order to estimate the reconstruction errors and determinate the minimal number of required meas-urements. Once the fusion center obtains enough measurements, the reconstruction spectrum sparse vectors are then used to make a decision on spectrum occupancy. Simulations corroborate the effec-tiveness of the estimation and sensing performance of our cooperative scheme. Meanwhile, the per-formance of SSAMP and Simultaneous Orthogonal Matching Pursuit (SOMP) is evaluated by Mean-Square estimation Errors (MSE) and sensing time.展开更多
An Adaptive Measurement Scheme (AMS) is investigated with Compressed Sensing (CS) theory in Cognitive Wireless Sensor Network (C-WSN). Local sensing information is collected via energy detection with Analog-to-Informa...An Adaptive Measurement Scheme (AMS) is investigated with Compressed Sensing (CS) theory in Cognitive Wireless Sensor Network (C-WSN). Local sensing information is collected via energy detection with Analog-to-Information Converter (AIC) at massive cognitive sensors, and sparse representation is considered with the exploration of spatial temporal correlation structure of detected signals. Adaptive measurement matrix is designed in AMS, which is based on maximum energy subset selection. Energy subset is calculated with sparse transformation of sensing information, and maximum energy subset is selected as the row vector of adaptive measurement matrix. In addition, the measurement matrix is constructed by orthogonalization of those selected row vectors, which also satisfies the Restricted Isometry Property (RIP) in CS theory. Orthogonal Matching Pursuit (OMP) reconstruction algorithm is implemented at sink node to recover original information. Simulation results are performed with the comparison of Random Measurement Scheme (RMS). It is revealed that, signal reconstruction effect based on AMS is superior to conventional RMS Gaussian measurement. Moreover, AMS has better detection performance than RMS at lower compression rate region, and it is suitable for large-scale C-WSN wideband spectrum sensing.展开更多
航空发动机叶尖间隙是监控其运行状态的有效参数,现有间隙测量方法很难满足超高转速下间隙距离的奈奎斯特采样率,因此无法有效提取精确的叶尖间隙值。本文基于压缩感知原理,针对间隙距离数据特征提出一种采用K-SVD(K-singular value dec...航空发动机叶尖间隙是监控其运行状态的有效参数,现有间隙测量方法很难满足超高转速下间隙距离的奈奎斯特采样率,因此无法有效提取精确的叶尖间隙值。本文基于压缩感知原理,针对间隙距离数据特征提出一种采用K-SVD(K-singular value decomposition)字典训练稀疏基的数据重构方法,该方法首先构建出K-SVD字典稀疏基对数据进行稀疏化表示,然后使用m序列高斯随机矩阵对数据进行压缩观测,最后基于压缩欠采样观测值使用正交匹配追踪算法对数据进行重构,进而精确提取叶尖间隙值。实验结果表明,在欠采样条件下间隙距离数据可精确恢复重构,与高采样率下的间隙数据相比,重构误差不超过0.02 mm。展开更多
提出一种压缩感知正交匹配追踪（CS-OMP）超谐波测量新算法,即运用压缩感知理论,通过引入插值系数,基于离散傅里叶变换（DFT）系数向量和狄利克雷核矩阵,构建了高频率分辨率的压缩感知模型,并基于正交匹配追踪算法,在不增加被测数据观...提出一种压缩感知正交匹配追踪（CS-OMP）超谐波测量新算法,即运用压缩感知理论,通过引入插值系数,基于离散傅里叶变换（DFT）系数向量和狄利克雷核矩阵,构建了高频率分辨率的压缩感知模型,并基于正交匹配追踪算法,在不增加被测数据观测时间前提下,将超谐波测量的频率分辨率提高了一个数量级。数值仿真分析以及两种非线性负荷的实测数据验证的结果表明,该算法可将测得数据频率分辨率由2 k Hz细化为200 Hz,能实现对被测信号中超谐波频率成分的精确定位,也可准确求解出其幅值信息,从而有效地弥补了DFT算法存在的观测时间与频率分辨率互相限制的固有缺陷,在更准确测量超谐波方面展现出良好前景。展开更多
以多重信号分类(Multrple Signal Classification,MUSIC)算法为代表的现代空间谱估计方法,估计的信源数受限于阵列形式,并且需要的采样数据量巨大.文章从压缩感知的基础理论出发,利用目标信号空间分布的稀疏性,建立了基于压缩感知的阵...以多重信号分类(Multrple Signal Classification,MUSIC)算法为代表的现代空间谱估计方法,估计的信源数受限于阵列形式,并且需要的采样数据量巨大.文章从压缩感知的基础理论出发,利用目标信号空间分布的稀疏性,建立了基于压缩感知的阵列信号空间谱估计模型.利用压缩感知方法,可以使用较少的阵元数对空间信号进行采样测量,并准确重构信号.相比传统的MUSIC空间谱估计算法,该方法所需阵元数少,采样数据量小,并且能同时进行信号强度和角度的估计.所提方法对推动压缩感知理论在阵列信号空间谱估计中的应用具有一定意义.展开更多
基金Supported by the National High Technology Research and Development Program(No.2009AA01Z241)the National Natural Science Foundation(No.60971129,No.61071092)
文摘Compressed sensing offers a new wideband spectrum sensing scheme in Cognitive Radio (CR). A major challenge of this scheme is how to determinate the required measurements while the signal sparsity is not known a priori. This paper presents a cooperative sensing scheme based on se-quential compressed sensing where sequential measurements are collected from the analog-to-information converters. A novel cooperative compressed sensing recovery algorithm named Simul-taneous Sparsity Adaptive Matching Pursuit (SSAMP) is utilized for sequential compressed sensing in order to estimate the reconstruction errors and determinate the minimal number of required meas-urements. Once the fusion center obtains enough measurements, the reconstruction spectrum sparse vectors are then used to make a decision on spectrum occupancy. Simulations corroborate the effec-tiveness of the estimation and sensing performance of our cooperative scheme. Meanwhile, the per-formance of SSAMP and Simultaneous Orthogonal Matching Pursuit (SOMP) is evaluated by Mean-Square estimation Errors (MSE) and sensing time.
基金Supported by the National Natural Science Foundation of China (No. 61102066, 60972058)the China Postdoctoral Science Foundation (No. 2012M511365)the Scientific Research Project of Zhejiang Provincial Education Department (No. Y201119890)
文摘An Adaptive Measurement Scheme (AMS) is investigated with Compressed Sensing (CS) theory in Cognitive Wireless Sensor Network (C-WSN). Local sensing information is collected via energy detection with Analog-to-Information Converter (AIC) at massive cognitive sensors, and sparse representation is considered with the exploration of spatial temporal correlation structure of detected signals. Adaptive measurement matrix is designed in AMS, which is based on maximum energy subset selection. Energy subset is calculated with sparse transformation of sensing information, and maximum energy subset is selected as the row vector of adaptive measurement matrix. In addition, the measurement matrix is constructed by orthogonalization of those selected row vectors, which also satisfies the Restricted Isometry Property (RIP) in CS theory. Orthogonal Matching Pursuit (OMP) reconstruction algorithm is implemented at sink node to recover original information. Simulation results are performed with the comparison of Random Measurement Scheme (RMS). It is revealed that, signal reconstruction effect based on AMS is superior to conventional RMS Gaussian measurement. Moreover, AMS has better detection performance than RMS at lower compression rate region, and it is suitable for large-scale C-WSN wideband spectrum sensing.
文摘航空发动机叶尖间隙是监控其运行状态的有效参数,现有间隙测量方法很难满足超高转速下间隙距离的奈奎斯特采样率,因此无法有效提取精确的叶尖间隙值。本文基于压缩感知原理,针对间隙距离数据特征提出一种采用K-SVD(K-singular value decomposition)字典训练稀疏基的数据重构方法,该方法首先构建出K-SVD字典稀疏基对数据进行稀疏化表示,然后使用m序列高斯随机矩阵对数据进行压缩观测,最后基于压缩欠采样观测值使用正交匹配追踪算法对数据进行重构,进而精确提取叶尖间隙值。实验结果表明,在欠采样条件下间隙距离数据可精确恢复重构,与高采样率下的间隙数据相比,重构误差不超过0.02 mm。
文摘提出一种压缩感知正交匹配追踪（CS-OMP）超谐波测量新算法,即运用压缩感知理论,通过引入插值系数,基于离散傅里叶变换（DFT）系数向量和狄利克雷核矩阵,构建了高频率分辨率的压缩感知模型,并基于正交匹配追踪算法,在不增加被测数据观测时间前提下,将超谐波测量的频率分辨率提高了一个数量级。数值仿真分析以及两种非线性负荷的实测数据验证的结果表明,该算法可将测得数据频率分辨率由2 k Hz细化为200 Hz,能实现对被测信号中超谐波频率成分的精确定位,也可准确求解出其幅值信息,从而有效地弥补了DFT算法存在的观测时间与频率分辨率互相限制的固有缺陷,在更准确测量超谐波方面展现出良好前景。
文摘以多重信号分类(Multrple Signal Classification,MUSIC)算法为代表的现代空间谱估计方法,估计的信源数受限于阵列形式,并且需要的采样数据量巨大.文章从压缩感知的基础理论出发,利用目标信号空间分布的稀疏性,建立了基于压缩感知的阵列信号空间谱估计模型.利用压缩感知方法,可以使用较少的阵元数对空间信号进行采样测量,并准确重构信号.相比传统的MUSIC空间谱估计算法,该方法所需阵元数少,采样数据量小,并且能同时进行信号强度和角度的估计.所提方法对推动压缩感知理论在阵列信号空间谱估计中的应用具有一定意义.
