title: ÐÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¸Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° MUSIC Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÑÑÑÐµÑ ÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð¹ Ð°Ð½ÑÐµÐ½Ð½Ð¾Ð¹ ÑÐµÑÑÑÐºÐ¸
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: Direction finding of objects based on the MUSIC method for a four-element antenna array
Creators: name: ÐÐ°ÑÐ²ÐµÐµÐ², ÐÐ»Ð°Ð´Ð¸Ð¼Ð¸Ñ
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: 2024
Subjects: Ð°Ð½ÑÐµÐ½Ð½Ð°Ñ ÑÐµÑÐµÑÐºÐ°
Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ MUSIC
ÑÐ¸ÑÑÐ¾Ð²Ð°Ñ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð²
Ð¿ÑÐ¾ÑÑÑÐ°Ð½ÑÑÐ²ÐµÐ½Ð½Ð¾-Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð°Ñ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ°
Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¸Ñ
ÑÐ²ÐµÑÑ ÑÐ°Ð·ÑÐµÑÐµÐ½Ð¸Ðµ
antenna array
MUSIC algorithm
digital signal processing
space-time processing
direction finding
high-resolution
coherent signals

description: ÐÐ°Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ñ ÑÐ¾ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¸Ð¸ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° MUSIC Ð¿ÑÐ¸ Ð¿ÑÐ¸ÐµÐ¼Ðµ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² ÑÐµÑÑÑÑÑÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð¹ Ð°Ð½ÑÐµÐ½Ð½Ð¾Ð¹ ÑÐµÑÑÑÐºÐ¾Ð¹ (ÐÐ ) Ð¾Ñ 1â3 Ð¾Ð´Ð½Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾ Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ñ Ð¸ÑÑÐ¾ÑÐ½Ð¸ÐºÐ¾Ð² ÑÐ°Ð´Ð¸Ð¾Ð¸Ð·Ð»ÑÑÐµÐ½Ð¸Ñ (ÐÐ Ð). ÐÐ°Ð´Ð°ÑÐ¸, ÐºÐ¾ÑÐ¾ÑÑÐµ ÑÐµÑÐ°Ð»Ð¸ÑÑ Ð² ÑÐ¾Ð´Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: 1) Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ Ð°Ð½Ð°Ð»Ð¸ÑÐ¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¾Ð±Ð·Ð¾ÑÐ° Ð»Ð¸ÑÐµÑÐ°ÑÑÑÑ Ð¿Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°Ð¼ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¸Ð¸; 2) ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ðµ Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¾ÑÐ°; 3) ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð½Ð° ÐÐ Ð Ð½Ð° ÑÐ·ÑÐºÐ°Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ C++ Ð¸ MATLAB; 4) ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐ½Ð¸Ð²ÐµÑÑÐ°Ð»ÑÐ½Ð¾Ð¹ Ð¼Ð°ÑÑÐ¸ÑÐ½Ð¾Ð¹ Ð±Ð¸Ð±Ð»Ð¸Ð¾ÑÐµÐºÐ¸ Ð½Ð° ÑÐ·ÑÐºÐµ C++, Ð¿ÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð½Ð¾Ð¹ Ð´Ð»Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð°Ð½Ð½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð²; 5) Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ ÑÐµÑÐ¸Ð¸ ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ¾Ð², Ð¾ÑÐ²Ð°ÑÑÐ²Ð°ÑÑÐ¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐµ ÑÑÐµÐ½Ð°ÑÐ¸Ð¸ Ð½Ð¸Ð·ÐºÐ¾Ð³Ð¾ Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»/ÑÑÐ¼ (ÐÐ¡Ð¨) Ð¸ ÑÐ°Ð·Ð½Ð¾Ð³Ð¾ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° ÐÐ Ð; 6) ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ðµ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¸Ð¸, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð¼ MUSIC, Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ°Ð¼Ð¸, Ð¿Ð¾Ð»ÑÑÐµÐ½Ð½ÑÐ¼Ð¸ Ð°Ð»ÑÑÐµÑÐ½Ð°ÑÐ¸Ð²Ð½ÑÐ¼Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð°Ð¼Ð¸. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾Ð²ÑÑÐµÐ½Ð° ÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¸Ð¸ 1-3 Ð¾Ð´Ð½Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾ Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ñ ÐÐ Ð, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ¾Ð·Ð´Ð°Ð½Ð° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿ÐµÐ»ÐµÐ½Ð³Ð°ÑÐ¾ÑÐ° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ ÑÐµÑÑÑÑÑÑÐ»ÐµÐ¼ÐµÐ½ÑÐ½Ð¾Ð¹ ÐÐ . ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ Ð¾ÑÐºÑÑÑÑÐµ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½ÑÐµ ÑÐµÑÑÑÑÑ Ð¸ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Ð¿Ð¾Ð¸ÑÐºÐ° Ð¸ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¸. ÐÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð»Ð¸ÑÑ ÑÑÐµÐ´ÑÑÐ²Ð° Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð°ÑÐ¸Ð¸ (Ð°Ð²ÑÐ¾Ð¼Ð°ÑÐ¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹) ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ MATLAB.
description: This work is devoted to increasing the accuracy of object direction finding based on the MUSIC method when receiving signals from a four-element antenna array (AR) from 1-3 simultaneously operating radio emission sources (RES). Tasks that were solved during the research: 1) conducting an analytical review of the literature on direction finding algorithms; 2) creation of a direction finder simulation model; 3) implementation of algorithms for determining the direction of RES in the C++ and MATLAB programming languages; 4) development of a universal matrix library in C++, designed for effective modeling and implementation of these algorithms; 5) conducting a series of numerical experiments covering various scenarios of low signal-to-noise ratio (SNR) and different amounts of RES; 6) comparison of the direction finding results obtained by the MUSIC method with the results obtained by alternative algorithms. As a result of the work, the accuracy of direction finding of 1-3 simultaneously operating RES has been improved, and a simulation model of a direction finder based on a four-element AR has been created. Open educational resources and information search and analysis programs were used. MATLAB automation (automated) development tools were used.