摘要
信号重构是压缩传感领域中的研究方向之一。针对基于l1范数在信号重构中存在不光滑、可导性差等缺点,构造一种基于l1范数平滑渐进函数。并对该函数的单调性和最优解序列收敛性进行证明。在仿真实验中,通过实例验证该算法的有效性。与经典重构算法在重构指标方面进行比较,实验效果证明该算法的重构效果更好,并且误差小、精度高。
Signal reconstruction is the research direction in the field of compression sensing.l1 norm is unsmooth and has poor conductivity in the signal reconstruction.To solve this problem,we constructed a smooth progressive function based on l1 norm.The monotonicity of the function and the convergence of the optimal solution sequence were proven.In simulation experiments,the effectiveness of the algorithm was verified by examples.Compared with the classical reconstruction algorithm in reconstruction index,the algorithm has better reconstruction effect,fewer errors and higher accuracy.
作者
陈暄
潘春平
龙丹
Chen Xuan;Pan Chunping;Long Dan(Zhejiang Industry Polytechnic College,Shaoxing 312000,Zhejiang,China;Zhejiang University,Hangzhou 310058,Zhejiang,China)
出处
《计算机应用与软件》
北大核心
2018年第11期289-295,共7页
Computer Applications and Software
基金
绍兴市科技局项目(2015B70013)
关键词
压缩重构
L1范数
平滑渐进
Compression reconstruction
l1 norm
Smooth progressive
