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IEVref:103-04-03ID:
Language:enStatus: Standard
Term: inverse Fourier transform
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Definition: representation of a real or complex function f(t) of the real variable t by the integral transformation

f(t)= 1 2π + F(ω) e jωt dω MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHXgaruavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaamiDaiaacMcacqGH9aqpdaWcaaqaaiaaigdaaeaacaaIYaacdaGae8hWdahaamaapedabaGaamOraiaacIcacqaHjpWDcaGGPaqcLbuaciGGLbGcdaahaaWcbeqaaKqzaeGaciOAaiabeM8a3TGaamiDaaaajugqbiGacsgakiabeM8a3bWcbaGaaGjcVlabgkHiTiabg6HiLcqaaiaayIW7cqGHRaWkcqGHEisPa0Gaey4kIipaaaa@543B@

where F(ω) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAeacaGGOaGaeq yYdCNaaiykaaaa@3943@ is the Fourier transform of the function f(t) MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaq Fn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpe WZqaaiqaciWacmGadaGadeaabaGaaqaaaOqaaiaadAgacaGGOaGaam iDaiaacMcaaaa@388F@ and j is the imaginary unit


Publication date:2009-12
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Internal notes:2017-02-20: Editorial revisions in accordance with the information provided in C00020 (IEV 103) - evaluation. JGO
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