Usage of Fourier Transformation in Theoretical Studying of Signals in Data Transmission

Abstract

Nowadays we always use different networks for any data transmission. This data transmission usually is realized using signals of some class. Sometimes studying of these signals is better when we use Fourier series and Fourier transformation. Authors of this paper present a method of theoretical studying of signals which can be used in data transfer. Scientific novelty of this work is studying of usage of integral representations of function, based in Fourier series, in constructing of interpolation polynomial. There are many interpolation polynomials, can be built by this way. There are different methods to build interpolation polynomials using same integral representation. Main work was focused in usage of Poisson integral in building of interpolation polynomials by definition. An interpolation polynomial, which was built in time of work, can give better result in signal recovery and is easier for different modifications then some popular interpolation polynomials. Combined usage of built interpolation polynomial and Fourier transformation give many useful and powerful instruments, which can be used in signal theory.