| 一种适用频谱检测技术的最小l1范数改进算法 |
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| 引用本文： | 王臣昊,肖小潮.一种适用频谱检测技术的最小l1范数改进算法[J].南京邮电大学学报(自然科学版),2012,32(3):5-9,15. |
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| 作者姓名： | 王臣昊 肖小潮 |
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| 作者单位： | 1. 南京邮电大学宽带无线通信与传感网技术教育部重点实验室,江苏南京,210003
2. 南京邮电大学信号处理与传输研究院,江苏南京,210003 |
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| 基金项目： | 国家重点基础研究发展计划(973计划)，国家自然科学基金 |
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| 摘 要： | 压缩感知(compressed sensing)理论是近两年信号处理领域方兴未艾的一个热门研究方向,它的出现突破了奈奎斯特采样定理对信号频率的限制。最小l1范数法(即BP算法)是压缩感知中信号若干种重构方法中比较成熟的一种算法。文中在对已有的BP算法进行了研究后,提出了一种适用于噪声环境下的加权迭代l1算法,并将之应用于认知无线电的频谱感知中,经过MATLAB仿真的对比后,验证了改进之后的算法对提高含有高斯白噪声的信号重构的精确度有着更加精确的效果。
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| 关 键 词： | 压缩感知 最小l1范数 信号重构 认知无线电 频谱感知 |
An Improved l1 Norm Minimum Algorithm for Spectrum Detection |
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| WANG Chen-hao
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XIAO Xiao-chao.An Improved l1 Norm Minimum Algorithm for Spectrum Detection[J].Journal of Nanjing University of Posts and Telecommunications,2012,32(3):5-9,15. |
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| Authors: | WANG Chen-hao XIAO Xiao-chao |
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| Institution: | 1.Key Lab of Broadband Wireless Communication and Sensor Network Technology,Ministry of Education,Nanjing University of Posts and Telecommunications,Nanjing 210003,China2.Institute of Signal Processing and Transmission,Nanjing University of Posts and Telecommunications,Nanjing 210003,China |
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| Abstract: | In recent years,compressed sensing theory is a hot research direction in signal processing field.It breaks through the limit of the Nyquist sampling frequency of signal.Minimum l1 norm method(ie BP algorithm) is a mature reconstruction method in compressed sensing.This paper proposes a method which changes the noise limit condition from l2 norm to l1 norm and uses iterative weighted l1 norm.The method is applied in the spectrum sensing of cognitive radio.MATLAB simulation results show that the new method reconstructed signal accurately in the AWGN channel. |
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| Keywords: | compressed sensing minimum l1 norm signal reconstruction cognitive radio spectrum sensing |
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