Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

A windowed sinc function can implement a low-pass filter, and a two-dimensional convolutional filter can blur or sharpen images. In part 3 of this series, we introduced a low-pass filter based on the ...

A windowed sinc filter outperforms a moving-average filter in the frequency domain. Figure 1. The ideal filter X(f) in the frequency domain has a gain of 1 and a cutoff frequency fC. This result is in ...

One of the goals for this column has been to catalog a series of mathematical concepts that have made a profound impact on all of STEM, not just the last letter of the acronym. Fortunately, I’ve ...

ABSTRACT: Wiener amalgam spaces are a class of function spaces where the function’s local and global behavior can be easily distinguished. These spaces are ex-tensively used in Harmonic analysis that ...

The world of artificial intelligence (AI) is rapidly evolving, and AI is increasingly enabling applications that were previously unattainable or very difficult to implement. A subsequent article, ...