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okay welcome to notes at number 25 where weamp;#39;ll talk about the FFT algorithm this is the algorithm that actually makes doing numerical DFT computation amazingly efficient and I think you could almost safely say that without the FFT algorithm we probably wouldnamp;#39;t be seeing the widespread application of DSP in in real-world applications because as fast as our computers get will see that the the DFT computed directly is mighty slow and the FFT is much much faster which allows us to do longer blocks of FFT processing in fairly short order so Iamp;#39;m going weamp;#39;re going to look at two different ways of developing the FFT algorithm one is just a pretty straightforward kind of an ad hoc way and Iamp;#39;ll provide a write-up that Iamp;#39;ll post on blackboard for that or well I mean I may put it on my my open web page weamp;#39;ll see Iamp;#39;ll let you know and in the next note set notes at number26 weamp;#39;ll look at a more systematic development of the FFT