Abstract: Convolution of a discrete Walsh function with a rectangular pulse simplifies the derivation of an expression for the Fourier transform of a Walsh function. The nonrecursive transform ...

A new method is presented for solving Poisson's equation inside a rectangular waveguide. The method uses Fast Fourier Transforms (FFTs) to perform mixed convolutions and correlations of the charge ...

The find_rect function fails to find the largest rectangle when rotating the checkerboard by 45° clockwise, but it does find the largest rectangle when rotating it by 45° counterclockwise. My code is ...

Elastic full waveform inversion (EFWI) is a powerful technique. However, its strong non-linearity makes it susceptible to converging towards local extremes during the iterative process due to various ...

The GNU C Compiler – GCC – was first released in 1987. 36 years ago. Several version streams are still actively being developed and enhanced, with GCC13 being the most advanced, and a GCC v10.5 ...

While I can currently graph polar equations, I can't treat those equations as functions of θ in other contexts, like if I want to integrate to find area, or just do arithmetic with the values in the ...

Abstract: Construction of orthogonal Kravchenko wavelets is similar to Meyer wavelets. It begins from Fourier transform of scaling function. It must be supported on the segment $[- 4 \pi /3; 4 \pi ...