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Sparsity and Incoherence in Compressive Sampling
`1-minimization basis pursuit restricted orthonormality sparsity singular values of random matrices wavelets discrete Fourier transform
2015/6/17
We consider the problem of reconstructing a sparse signal x0 ∈ Rn from a limited number of linear measurements. Given m randomly selected samples of Ux0, where U is an orthonormal matrix, we show that...
本文对GLOBAL测井解释方法的Incoherence函数进行了系统研究.讨论了Incoherence函数的建立;分析了解的意义,置信区间及减小非相干函数值的含义;检验了层参数,响应函数和误差项对求解结果的影响;最后,提出了改进GLOBAL方法求解效果的一些建议.本文的结论适合于测井资料最优化解释方法的理论和实际应用.建议:(1)慎重选择层参数、响应方程和有关误差项;(2)选用受初值影响小的算法,...