Radix 2 FFT - CCRMA - Stanford University

DFT requires no multiplies. The overall result is called a radix 2 FFT. A different radix 2 FFT is derived by performing decimation in frequency. A split radix ... Next |  Prev |  Up |  Top  |  Index |  JOSIndex |  JOSPubs |  JOSHome |  Search Radix2FFT When isapowerof ,say where isaninteger, thentheaboveDITdecompositioncanbeperformed times,until eachDFTislength .Alength DFTrequiresnomultiplies.The overallresultiscalledaradix2FFT.Adifferentradix2 FFTisderivedbyperformingdecimationinfrequency. AsplitradixFFTistheoreticallymoreefficientthanapure radix2algorithm[76,32]becauseit minimizesrealarithmeticoperations.Theterm``splitradix''refers toaDITdecompositionthatcombinesportionsofoneradix2andtwo radix4FFTs[23].A.3Onmoderngeneral-purpose processors,however,computationtimeisoftennotminimizedby minimizingthearithmeticoperationcount(see§A.7below). Subsections Radix2FFTComplexityisNLogN Next |  Prev |  Up |  Top  |  Index |  JOSIndex |  JOSPubs |  JOSHome |  Search [Howtocitethiswork]  [Orderaprintedhardcopy]  [Commentonthispageviaemail]``MathematicsoftheDiscreteFourierTransform(DFT),withAudioApplications---SecondEdition'', byJuliusO.SmithIII, W3KPublishing,2007,ISBN978-0-9745607-4-8 Copyright©2022-09-05byJuliusO.SmithIII CenterforComputerResearchinMusicandAcoustics(CCRMA),   StanfordUniversity