标签: transforms

HandbookofReal-TimeFastFourierTransforms-AlgorithmstoProductTesting,Wiley-IEEEPress

NumericalinversionofLaplacetransformsbyasimplecurvefittingtechnique

FastFourierTransforms  author:walker

FourierTransforms

FOURIERTRANSFORMS-AnIntroductionforEngineers,1995

Althoughcomplexnumbersarefundamentallydisconnectedfromourreality,theycanbeusedtosolvescienceandengineeringproblemsintwoways.First,theparametersfromarealworldproblemcanbesubstitutedintoacomplexform,aspresentedinthelastchapter.Thesecondmethodismuchmoreelegantandpowerful,awayofmakingthecomplexnumbersmathematicallyequivalenttothephysicalproblem.ThisapproachleadstothecomplexFouriertransform,amoresophisticatedversionoftherealFouriertransformdiscussedinChapter8.ThecomplexFouriertransformisimportantinitself,butalsoasasteppingstonetomorepowerfulcomplextechniques,suchastheLaplaceandz-transforms.ThesecomplextransformsarethefoundationoftheoreticalDSP.TheRealDFTAllCHAPTERTheComplexFourierTransform31Althoughcomplexnumbersarefundamentallydisconnectedfromourreality,theycanbeusedtosolvescienceandengineeringproblemsintwoways.First,theparametersfromarealworldproblemcanbesubstitutedintoacomplexform,aspresentedinthelastchapter.Thesecondmethodismuchmoreelegantandpowerful,awayofmakingthecomplexnumbersmathematicallyequivalenttothephysicalproblem.ThisapproachleadstothecomplexFouriertransform,amoresophisticatedversionoftherealFouriertransformdiscussedinChapter8.ThecomplexFouriertransformisimportantinitself,butalsoasasteppingstonetomorepowerfulcomplextechniques,suchastheLaplaceandz-transforms.Thesecomplextr……

Imagesareadescriptionofhowaparametervariesoverasurface.Forexample,standardvisualimagesresultfromlightintensityvariationsacrossatwo-dimensionalplane.However,lightisnottheonlyparameterusedinscientificimaging.Forexample,animagecanbeformedofthetemperatureofanintegratedcircuit,bloodvelocityinapatient'sartery,x-rayemissionfromadistantgalaxy,groundmotionduringanearthquake,etc.Theseexoticimagesareusuallyconvertedintoconventionalpictures(i.e.,lightimages),sothattheycanbeevaluatedbythehumaneye.Thisfirstchapteronimageprocessingdescribeshowdigitalimagesareformedandpresentedtohumanobservers.CHAPTERImageFormation&Display23Imagesareadescriptionofhowaparametervariesoverasurface.Forexample,standardvisualimagesresultfromlightintensityvariationsacrossatwo-dimensionalplane.However,lightisnottheonlyparameterusedinscientificimaging.Forexample,animagecanbeformedofthetemperatureofanintegratedcircuit,bloodvelocityinapatient'sartery,x-rayemissionfromadistantgalaxy,groundmotionduringanearthquake,etc.Theseexoticimagesareusuallyconvertedintoconventionalpictures(i.e.,lightimages),sothattheycanbeevaluatedbythehumaneye.Thisfirstchapteronimageprocessingdescribeshowdigitalimagesareformedandpresentedtohumanobservers.DigitalImageStructure……