摘要
AlthoughGaussianrandommatricesplayanimportantroleofmeasurementmatricesincompressedsensing,onehopesthatthereexistotherrandommatriceswhichcanalsobeusedtoserveasthemeasurementmatrices.Hence,Weibullrandommatricesinduceextensiveinterest.Inthispaper,wefirstproposethel2,qrobustnullspacepropertythatcanweakentheD-RIP,andshowthatWeibullrandommatricessatisfythel2,qrobustnullspacepropertywithhighprobability.Besides,weprovethatWeibullrandommatricesalsopossessthelqquotientpropertywithhighprobability.Finally,withthecombinationoftheabovementionedproperties,wegivetwoimportantapproximationcharacteristicsofthesolutionstothelq-minimizationwithWeibullrandommatrices,oneisonthestabilityestimatewhenthemeasurementnoisee∈Rnneedsapriori‖e‖2≤,theotherisontherobustnessestimatewithoutneedingtoestimatetheboundof‖e‖2.TheresultsindicatethattheperformanceofWeibullrandommatricesissimilartothatofGaussianrandommatricesinsparserecovery.
出版日期
2018年01月11日（中国期刊网平台首次上网日期，不代表论文的发表时间）
