Add to ORKGThe Fourier transform (and all its versions, discrete/continuous/finite/infinite), covers deep and abstract mathematical concepts, and can easily overwhelm with detail. In this paper I provide some intuitive ideas of how the discrete Fourier transform (and its version with low frequencies) works and how we can use it to approximate real periodic functions and parametric closed curves by means of trigonometric interpolation
Given the data ƒ(l)}(xp); p = 1,…, m; l = 0,…, np − 1, the periodic functions ƒ(x) are required that...
A function f(x) is called periodic if there exists a constant T \u3e o for which f(x+T)=f(x) for any...
As an introduction, let us describe exactly the relation between the Fourier series and the Fourier ...
The concept of Fourier Series is widely used in several Engineering problems like Wave Equations, He...
In this exposition we discuss trigonometric interpolation at equally spaced points. This exposition ...
We investigate convergence of the rational-trigonometric-polynomial interpolations which perform con...
In this paper, we propose a unified theory for arithmetic transforms of a variety of discrete trigon...
this paper can not and does not intend to cover the area in full. Its goal is to introduce the basic...
The paper will present a new version of a real discrete Fourier transform, based on a symmetric freq...
The discrete Fourier transform (DFT) has been used to obtain rational approximations for transfer fu...
Fourier Series are a powerful tool in Applied Mathematics; indeed, their importance is twofold since...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
AbstractThis note generalizes estimates in [8] for approximation of periodic functions by Fourier su...
This thesis presents new numerical algorithms for approximating functions by trigonometric polynomia...
stated a result about the interpolation of operations without proof. Recently A. Zygmund [9] has com...
Given the data ƒ(l)}(xp); p = 1,…, m; l = 0,…, np − 1, the periodic functions ƒ(x) are required that...
A function f(x) is called periodic if there exists a constant T \u3e o for which f(x+T)=f(x) for any...
As an introduction, let us describe exactly the relation between the Fourier series and the Fourier ...
The concept of Fourier Series is widely used in several Engineering problems like Wave Equations, He...
In this exposition we discuss trigonometric interpolation at equally spaced points. This exposition ...
We investigate convergence of the rational-trigonometric-polynomial interpolations which perform con...
In this paper, we propose a unified theory for arithmetic transforms of a variety of discrete trigon...
this paper can not and does not intend to cover the area in full. Its goal is to introduce the basic...
The paper will present a new version of a real discrete Fourier transform, based on a symmetric freq...
The discrete Fourier transform (DFT) has been used to obtain rational approximations for transfer fu...
Fourier Series are a powerful tool in Applied Mathematics; indeed, their importance is twofold since...
Abstract. Algorithms and underlying mathematics are presented for numerical computation with periodi...
AbstractThis note generalizes estimates in [8] for approximation of periodic functions by Fourier su...
This thesis presents new numerical algorithms for approximating functions by trigonometric polynomia...
stated a result about the interpolation of operations without proof. Recently A. Zygmund [9] has com...
Given the data ƒ(l)}(xp); p = 1,…, m; l = 0,…, np − 1, the periodic functions ƒ(x) are required that...
A function f(x) is called periodic if there exists a constant T \u3e o for which f(x+T)=f(x) for any...
As an introduction, let us describe exactly the relation between the Fourier series and the Fourier ...