title: Ð¤Ð°Ð·Ð¾Ð²ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´ÐµÑÐ¶ÐºÐ¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ°Ð½Ð°Ð»ÑÐ½ÑÑ ÑÐµÐ»ÐµÐºÐ¾Ð¼Ð¼ÑÐ½Ð¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Phase methods of signal delay measurement in multichannel telecommunication systems
Creators: name: ÐÐ¾Ð´Ð´ÑÐ±Ð½ÑÐ¹, ÐÐ½ÑÐ¾Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2022
Subjects: Ð°Ð½Ð°Ð»Ð¾Ð³Ð¾-ÑÐ¸ÑÑÐ¾Ð²Ð¾Ð¹ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»Ñ
Ð±ÑÑÑÑÐ¾Ðµ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¤ÑÑÑÐµ
MIMO
SNR
analog-digital converter
fast fourier transform

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±ÑÐ»Ð° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¸Ð·ÑÑÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð¾Ð²ÑÑ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´ÐµÑÐ¶ÐºÐ¸ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð² Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ°Ð½Ð°Ð»ÑÐ½ÑÑ ÑÐµÐ»ÐµÐºÐ¾Ð¼Ð¼ÑÐ½Ð¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ¸ÑÑÐµÐ¼Ð°Ñ Ð¿Ð¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐµÐ³Ð¾ Ð¿ÑÐ¾Ð²ÐµÑÑÐ¸ ÑÐ¼ÑÐ»ÑÑÐ¸Ñ Ð¿ÐµÑÐµÐ´Ð°ÑÐ¸, Ð¿ÑÐ¸ÐµÐ¼Ð° Ð¸ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐµÑÑÐ¾Ð²Ð¾Ð³Ð¾ ÑÐ¸Ð³Ð½Ð°Ð»Ð° Ñ Ð·Ð°Ð´Ð°Ð½Ð½ÑÐ¼Ð¸ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ°Ð¼Ð¸, Ñ Ð¿Ð¾ÑÐ»ÐµÐ´ÑÑÑÐ¸Ð¼ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸ÐµÐ¼ Ð·Ð°Ð´ÐµÑÐ¶ÐºÐ¸ Ð¸ Ð¾ÑÐµÐ½ÐºÐ¾Ð¹ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹. Ð ÑÐ¾Ð´Ðµ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð±ÑÑÑÑÐ¾Ð³Ð¾ Ð¿ÑÐµÐ¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¤ÑÑÑÐµ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð¼Ð¸Ð½Ð¸Ð¼ÑÐ¼Ð° ÑÑÐµÐ´Ð½ÐµÐºÐ²Ð°Ð´ÑÐ°ÑÐ¸ÑÐ½Ð¾Ð³Ð¾ Ð¾ÑÐºÐ»Ð¾Ð½ÐµÐ½Ð¸Ñ, ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð¾ Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ Ð½Ð° ÑÐ·ÑÐºÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Python, ÑÐ¸Ð¼ÑÐ»Ð¸ÑÑÑÑÐµÐµ ÑÐ°Ð±Ð¾ÑÑ Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ°Ð½Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð´Ð»Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´ÐµÑÐ¶ÐºÐ¸ Ð¸ Ð¾ÑÐµÐ½ÐºÐ¸ Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ, Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð¿Ð¾Ð³ÑÐµÑÐ½Ð¾ÑÑÐ¸, Ð²Ð»Ð¸ÑÐ½Ð¸Ñ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð², Ð²ÑÐµÐ¼ÐµÐ½Ð¸ ÑÐ°ÑÑÑÑÐ¾Ð². ÐÐ¾ Ð¸ÑÐ¾Ð³Ð°Ð¼ ÑÐ°Ð±Ð¾ÑÑ Ð±ÑÐ»Ð¸ Ð²ÑÑÐ²Ð»ÐµÐ½Ñ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð´Ð»Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ Ð¿Ð°ÑÐ°Ð¼ÐµÑÑÐ¾Ð². Ð¢Ð°ÐºÐ¶Ðµ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð°Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð·Ð°ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð¾Ð²Ð°Ð»Ð° ÑÐµÐ±Ñ ÐºÐ°Ðº Ð´Ð¾ÑÑÐ°ÑÐ¾ÑÐ½Ð¾ Ð¿ÑÐ°ÐºÑÐ¸ÑÐ½ÑÐ¹ Ð¸Ð½ÑÑÑÑÐ¼ÐµÐ½Ñ Ð´Ð»Ñ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð½Ð¾Ð³Ð¾ÐºÐ°Ð½Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð², ÐºÐ¾ÑÐ¾ÑÑÐ¼Ð¸ Ð¼Ð¾Ð¶Ð½Ð¾ Ð´Ð¾Ð¿Ð¾Ð»Ð½Ð¸ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð·Ð° ÑÑÐµÑ Ð¼Ð¾Ð´ÑÐ»ÑÐ½Ð¾Ð¹ Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÑ.
description: This work was devoted to study of phase delay measurement methods of signals in multi-channel telecommunication systems by means of software development, which allows to emulate the transmission, reception, and processing of test signal with the set parameters, with subsequent measurement of delay and estimation of measurement error.In the course of the work, the fast Fourier transform algorithm and the algorithm of minimum of the standard deviation were investigated, the application in Python programming language that simulates the work of multichannel system for delay measurement and estimation of the measurement error was realized, the error, the effect of parameters, the calculation time were evaluated. The results of the work showed the peculiarities of the algorithms application for different parameter values. Also realized program proved to be quite practical tool for modeling multi-channel system and analysis of algorithms that can be used in program due to modular architecture.