- In this paper, the grouped scheme is specially applied to compute the fast Fourier transform (FFT) when the portions of transformed outputs are calculated selectively. The groupe...
"The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the ...
Convolution y(t) = a(t − s) · x(s) ds is one of the main techniques in digital signal processing. A straightforward computation of the convolution y(t) requires O(n2) steps, wh...
Abstract. In this article, we deal with fast algorithms for the quaternionic Fourier transform (QFT). Our aim is to give a guideline for choosing algorithms in practical cases. Hen...