Use of digital processing of the signals in the frequency area with the use of nonlinear orthogonal transformations

DOI: 10.31673/2412-9070.2020.065154

Abstract

The rapid development of computer technology in recent decades has led to the widespread adoption of digital information processing techniques in virtually every area of research. In this case, including the various applications of computing, one of the most important places is occupied by digital signals of processing systems (CSP), which are used in the processing of data of remote tasks of navigation of aerospace and marine objects, communications, radiophysics, digital optics and several others. applications. Digital Signal Processing (DSP) is a dynamic field that covers both hardware and software. Related fields of digital signal processing are information theory, in particular, the theory of optimal signal reception and recognition theory. In the first case, the main problem is the receipt of the signal against the background of noise and interference from different physical nature, and in the second — automatic recognition, classification and identification of the signal. In digital signal processing according to a signal, we refer to its mathematical description, that is, some valid function that contains information about the state or behavior of a physical system according to an event that can be determined on a continuous or discrete space of change over time or spatial coordinates. In a broad sense, CCGS means sophisticated algorithmic, iron, and software. Typically, systems contain specialized pre-processing (or primary) signal processing facilities and special secondary processing facilities. Pre-processing means are intended to process the output signals observed in the general case against the background of random noise and interference of different physical nature and are presented in the form of discrete digital samples for the purpose of detection and selection (selection) of the useful signal and evaluation of the characteristics of the detected signal. A new method of digital signal processing in the frequency domain is proposed using some properties of nonlinear orthogonal transformations. The theoretical foundations of this method and the results of statistical modeling have proven effective in suppressing interference concentrated in communication channels.

Keywords: conversion; digital signal processing; selection; linear filtering; frequency domain; Hilbert space; Fresnel kernel.

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