A fast fourier transform fft is an algorithm that computes the discrete fourier transform dft of a sequence or its inverse idft fourier analysis converts a signal from its original domain often time or space to a representation in the frequency domain and vice versa. Fourier series the fourier transform of continuous and discrete signals and its properties the dirac delta distributions and generalized transforms convolutions and correlations and applications probability distributions sampling theory filters and analysis of linear systems the discrete fourier transform and the fft algorithm. And that was just the first couple of chapters brigham quickly moved into transform theory applying the fourier integral to convolution and correlation then into sampled waveforms and the discrete fourier transform and its applications finally he presented the fast fourier transform once again he clarifies without obfuscating. This book is a sequel to the fast fourier transform the focus of the original volume was on the fourier transform the discrete fourier trans form and the fft only a cursory examination of fft applications was presented this text extends the original volume with the incorporation of extensive developments of fundamental fft applications
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