| 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 |
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| DOI： |
| 中文关键词: 压缩感知；超宽带；测量矩阵；重构算法；托普利茨矩阵；格雷码 |
| 英文关键词:compressive sensing;ultra wide band(UWB);measure matrix；reconstruction algorithm；Toeplitz matrix；Golay code |
| 基金项目:国家自然科学基金（61601242）、江苏高校品牌专业建设工程（PPZY2015A092）和南京信息职业技术学院科技创新团队资助项目 |
| 作者 | 单位 | | 姜敏敏 | 南京信息职业技术学院 通信学院，江苏南京210023 |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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