简介:Inthispaper,weproposeaghostimagingschemewithfastWalsh–Hadamardtransform,namedGIFWHT.Inthescheme,Walsh–Hadamardpatternpairsareusedtoilluminateanobjecttogeneratepairsofdetectionresults,andthecorrespondingdifferentialdetectionresultisusedastheresultasthatfromtheconventionalbucketdetector.ByperformingthefastWalsh–Hadamardtransformon2~k(kisapositiveinteger)differentialdetectionresults,theimageoftheobjectcanberecovered.TheexperimentalandnumericalsimulationresultsshowthatthereconstructiontimeofGIFWHTisgreatlyreduced,andthequalityoftherecoveredimageisnoticeablyimproved.Inaddition,GIFWHTisrobustagainstinterferencefromenvironmentalilluminationandcouldsavememory.
简介:Inthispaper,wedevelopGaussianquadratureformulasfortheHadamardfi-nitepartintegrals.Inourformulas,theclassicalorthogonalpolynomialssuchasLegendreandChebyshevpolynomialsareusedtoapproximatethedensityfunctionf(x)sothattheGaussianquadratureformulashavedegreen-1.Theerrorestimatesoftheformulasareobtained.Itisfoundfromthenumericalexamplesthattheconvergencerateandtheaccu-racyoftheapproximationresultsaresatisfactory.Moreover,therateandtheaccuracycanbeimprovedbychoosingappropriateweightfunctions.
简介:Theaimofthispaperistoprovethefollowingtheoremconcerningthetermbytermdifferentiationthe-oremofWalsh-Kaczmarzseries.Let(ck)beadecreasingrealsequencewithck=o(1/(logk)r)γ)forsomeγ>1.Theng(x)=∞∑k=1ckκk(x),f(x)=∞∑k=1ck/kkk(x)areintegrablefunctionsandf(x)isa.e.dyadic(orButzerandWagner)differentiablewithf[1](x)=g(x)fora.e.x∈[0,1).ThefunctionκkmeansthekthWalsh-Kaczmarzfunction.
简介:FinitepartintegralsintroducedbyHadamardinconnectionwithhyperbolicpartialdifferentialequations,havebeenusefulinanumberofengineeringapplications.Inthispaperweinvestigatesomenumericalmethodsforcomputingfinite-partintegrals.
简介:ExtensionPrinciplesplayasignificantroleintheconstructionofMRAbasedwaveletframesandhaveattractedmuchattentionfortheirpotentialapplicationsinvariousscientificfields.AnovelandsimpleprocedurefortheconstructionoftightwaveletframesgeneratedbytheWalshpolynomialsusingExtensionPrincipleswasrecentlyconsideredbyShahin[TightwaveletframesgeneratedbytheWalshpolynomials,Int.J.Wavelets,Multiresolut.Inf.Process.,11(6)(2013),1350042].Inthispaper,weestablishacompletecharacterizationoftightwaveletframesgeneratedbytheWalshpolynomialsintermsofthepolyphasematricesformedbythepolyphasecomponentsoftheWalshpolynomials.
简介:本文讨论了Walsh函数的Walsh序、Paley序与Hadamard序相应的变换核矩阵的相互转化关系,给出了三类序的Walsh变换核矩阵的生成算法,且生成算法简单,还给出了Matlab生成该类矩阵的Matlab程序,并将几类矩阵的转换置换矩阵应用到图像信息的加密置乱中,置乱效果很好。
简介:对于[0,1)上的正规权函数μ,文章利用Hadamard缺项级数构造了单位圆盘上的解析函数μ*,使得μ*在实轴上满足μ(t)μ*(t)≈1,并且sup|z|≤rμ*(z)=μ*(r)。借助解析函数μ*,将Hadamard缺项级数的系数特征由α-Bloch函数推广至更一般的μ-Bloch函数。
简介:Inthisstudy,anewmethodologybasedontheHadamardmatrixisproposedtoconstructquantumBooleanfunctionsfsuchthatf=I2n-2P2n,whereI2nisanidentitymatrixoforder2nandP2nisaprojectivematrixwiththesameorderasI2n.TheenumerationofthisclassofquantumBooleanfunctionsisalsopresented.
简介:应用Hadamard不等式及一些相关的凸函数不等式可以在调和平均值、几何平均值、算术平均值之间再插入其它的数,构成新的不等式,并给出Hadamard不等式在一元情形下的一个推广。
简介:1IntroductionForann×nmatrixAwhichisaninverseM-matrix,M.Neumannin[1]conjecturedthattheHadamardproductA·AisaninverseofanM-matrix.TheyhavecheckedhisconjecturewithoutfailureonUltrametricmatricesandinverseofMMA-matrices,Uni-pathicmatricesandtheWillongbyinverseM-matrices.Bo-YingWangetal.in[2]haveinvestigatedTriangularinverseM-matriceswhichareclosedundertheHadamardmultipli-cation.LuLinzheng,SunWeiweiandLiWenin[3]presentedamoregeneralconjecture
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简介:The(Nrlund)logarithmicmeansoftheFourierseriesoftheintegrablefunctionfis:1/l_nsumfromk=1ton-1S_k(f)/(n-k),wherel_n:=sumfromk=1ton-11/kInthispaperwediscusssomeconvergenceanddivergencepropertiesofthislogarithmicmeansoftheWalsh-Fourierseriesoffunctionsintheuniform,andintheL~1Lebesguenorm.Amongothers,asanapplicationofourdivergenceresultswegiveanegativeanswertoaquestionofMóriczconcerningtheconvergenceoflogarithmicmeansinnorm.
简介:在一个现代电的驱动程序,转子地面向的控制(RFOC)方法被用来完成好表演和适当短暂回答。在这个方法,转子流动的空间向量来由转子抵抗价值方便。转子抵抗是根据马达速度和房间温度改变变化的重要参数之一。在这份报纸,一个新联机评价方法被利用由使用沃尔什功能领域获得转子抵抗。沃尔什功能是在piecewise常数基础功能(PCBF)的最适用的功能之一解决动态方程。在另一方面,一个不可分的运作的矩阵被用来简化计算算法的过程和速度。模拟结果证明建议方法能够在要用体力地与注射噪音在对比估计转子抵抗的时间间隔上在一台电的机器解决动态方程。