一种噪声环境下超宽带冲激信号稀疏重构方法  

Reconstruction method for sparse recovery of UWB pulse signal under noisy circumstance

作　　者：姜敏敏[1] JIANG Minmin(Department of Telecommunications, Nanjing College of Information Technology, Nanjing 210023, China)

机构地区：[1]南京信息职业技术学院通信学院,江苏南京210023

出　　处：《南京邮电大学学报（自然科学版）》2017年第5期29-33,共5页Journal of Nanjing University of Posts and Telecommunications：Natural Science Edition

基　　金：国家自然科学基金(61601242);江苏高校品牌专业建设工程(PPZY2015A092);南京信息职业技术学院科技创新团队资助项目

摘　　要：针对超宽带(UWB)时域冲激信号的稀疏重构问题,提出利用格雷互补序列构建托普利茨测量矩阵,对UWB信号进行压缩,然后利用修正稀疏度自适应匹配追踪(MSAMP)算法对信号进行稀疏重构。由于确定性的测量矩阵易于硬件实现且运算复杂度低,因此易于工程的实现。另外,MSAMP算法能在低信噪比且信噪比变化的情况下有效重构信号,所以该稀疏重构方法更加贴近实际。通过仿真表明该方法能在噪声环境下稳定有效地重构UWB信号。To achieve sparse recovery of UWB time-domain pulse signal,a method for constructing Toeplitz measurement matrix by using complementary Golay sequences is presented to compress the UWB signal. Then,the original signal is sparsly recovered using modified sparsity adaptive matching pursuit（ MSAMP） algorithm. Because the certain measurement matrix has low hardware complexity and higher operation speed,the method is easy realizable in engineering. In addition,the original signal can be effectively recovered using the MSAMP algorithm when the SNR is lower and changing,and the part of sparse recovery is more practical. Simulations show that UWB signal can be recovered stably and effectively under noisy circumstance using the method.

关 键 词：压缩感知 超宽带 测量矩阵 重构算法 托普利茨矩阵 格雷码 

分 类 号：TN911.72[电子电信—通信与信息系统] TP391[电子电信—信息与通信工程]