必威体育精装版成都电子科技大学博士研究生稀疏信号处理讲义.ppt

* * 二、稀疏重建理论 基追踪：Basis Pursuit，贪婪算法 稀疏重建条件：RIP 字典 确定型 随机型 结构+随机型 计算最简单 性能最优 所需测量最少 * * * * CVX: convex optimization March 3, 2008，mcgrant@stanford.edu l1_ls large-scale l1-regularized least-squares l1_logreg large-scale l1-regularized logistic regression GGPLAB geometric programming L1-MAGIC convex optimization to Compressed Sensing SparseLab sparse solutions to linear equations, particularly underdetermined systems Current software * * * * * * * * * * * * 三、几个例子 阵列信号处理的例子 实孔径超分辨 阵列稀疏布阵 无线定位的例子 MDS MC 信道估计的例子 SVR * * 稀疏布阵：同阵元数，优化 5.7 dB compare_ieee_trans_sp_1988_vol.36_no.3_pp372 * * 稀疏信道估计 cvx_begin variables h; minimize( norm(S*h-r, 2) + 0.5 * norm(h,1) ); cvx_end 1ms 10kbps: 10 1Gbps: 100万 * * 性能比较 * * Yipeng Liu, Qun Wan, Total Variation Minimization and Sparse Constraint Based Robust Beamformer, Electronic Letters Ying Zhang，Qun Wan，Wang Minghui，A Partially Sparse Solution to the Problem of Parameter Estimation of CARD Model, Signal Processing, vol.8, No.10, Oct. 2008, pp.2483-2491 Y. Zhang, B.P. Ng and Q. Wan, Sidelobe suppression for adaptive beamforming with sparse constraint on beam pattern, Electronics Letters, vol.44, no.10, pp.615-616 Ying Zhang, Qun Wan, H.P. Zhao, W.L. Yang, Support Vector Regression for Basis Selection in Laplacian Noise Environment, IEEE Signal Processing Letters, Vol. 14, Issue 11, Nov. 2007, pp.871-874 Guo Xiansheng, Wan Qun, Wu Bin, Yang Wanlin, Parameters localization of coherently distributed sources based on sparse signal representation, IET Radar, Sonar Navigation, vol.1, issue 4, Aug. 2007, pp.261-265 Rui Ming Yang, Qun Wan, and Wan Lin Yang, Greedy Approach to Sparse Multi-path Channel Estimation Using Sensing Dictionary, International Journal of Adaptive Control and Signal Processing Guo, Xiansheng, Wan, Qun; Chang, Chunqi; Lam, Edmund Y., Source localization using a sparse representation framework to achieve superresolution, Multidimensional Systems and Signal Processing, v 21, n 4, p 391-402, Decemb