It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these ...

THIS article suggests that Walsh functions 1–3 might be used in transform Spectroscopy 4–6 to replace the sinusoidal functions appearing in the Fourier transform. We think this might be the ...

still consists of describing a class of functions containing a given class of functions and stable under parametric integration, but we additionally require our class to be stable under other analytic ...

He’s using a Fast Fourier Transform routine crafted in C to run as efficiently as possible on the 8-bit chip. The video after the break shows that the results are quite pleasing, with just a bit ...