Inthispaper,weproposeaghostimagingschemewithfastWalsh–Hadamardtransform,namedGIFWHT.Inthescheme,Walsh–Hadamardpatternpairsareusedtoilluminateanobjecttogeneratepairsofdetectionresults,andthecorrespondingdifferentialdetectionresultisusedastheresultasthatfromtheconventionalbucketdetector.ByperformingthefastWalsh–Hadamardtransformon2~k(kisapositiveinteger)differentialdetectionresults,theimageoftheobjectcanberecovered.TheexperimentalandnumericalsimulationresultsshowthatthereconstructiontimeofGIFWHTisgreatlyreduced,andthequalityoftherecoveredimageisnoticeablyimproved.Inaddition,GIFWHTisrobustagainstinterferencefromenvironmentalilluminationandcouldsavememory.
