Abstract: In this paper, we define the Windowed Octonion Quadratic Phase Fourier Transform (WOQPFT) and derive its inversion formula, including its essential properties, such as linearity, ...

Fourier series is an expansion of a periodic function in terms of an infinite sum of sines and cosines. Fourier series make use of the orthogonality relationships of the sine and cosine functions.

Two hundred years ago, Joseph Fourier introduced a major concept in mathematics, the so-called Fourier transform (FT). It was not until 1965, when Cooley and Tukey developed the ‘fast Fourier ...

Researchers have been exploring the theoretical potential of quantum computers for decades. Only in recent years, however, have real systems begun to achieve an accuracy and scale that makes their ...

I will explain what discrete fourier transform is in a way i understood it and go step by step starting from some imaginary number operations and progress towards what the code does. But before you ...

What is a Fourier Transform? In mathematics, the transformation technique is used for mapping a function into a different function space from its original function space, and when we talk about the ...