傅里叶变换在数据传输信号理论研究中的应用

Andriy Makarchuk, I. Kal’chuk, Yurii Kharkevych, T. Voloshyna
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引用次数: 3

摘要

现在,我们总是使用不同的网络进行任何数据传输。这种数据传输通常是用某种类型的信号来实现的。有时用傅里叶级数和傅里叶变换来研究这些信号会更好。本文提出了一种可用于数据传输的信号理论研究方法。这项工作的科学新颖之处在于研究了基于傅里叶级数的函数的积分表示在构造插值多项式中的应用。有许多插值多项式,可以通过这种方式建立。用相同的积分表示来构造插值多项式有不同的方法。主要研究了泊松积分在插值多项式定义中的应用。在工作时间内建立的插值多项式与常用的插值多项式相比,具有较好的信号恢复效果,并且易于进行不同的修改。将建立的插值多项式与傅里叶变换相结合,为信号理论提供了许多有用而有力的工具。
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Usage of Fourier Transformation in Theoretical Studying of Signals in Data Transmission
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.
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