title: ÐÐ¿Ð¿Ð°ÑÐ°ÑÐ½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð¼Ð¾Ð´ÑÐ»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐ¸ÑÐµÐ» Ð¸ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ Ð²ÐµÐºÑÐ¾ÑÐ¾Ð² Ð´Ð»Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° MUSIC
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: Hardware architecture of the module for calculating eigenvalues and eigenvectors for the MUSIC algorithm
Creators: name: ÐÐ¾Ð»ÑÐºÐ¾Ð², ÐÐ°Ð½Ð¸Ð¸Ð»
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: EVD
MUSIC
FPGA
ÐÐÐÐ¡
Jacobi

description: Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¸Ð¼Ð¸ÑÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸Ñ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ ÑÐ¸ÑÐµÐ» Ð¸ ÑÐ¾Ð±ÑÑÐ²ÐµÐ½Ð½ÑÑ Ð²ÐµÐºÑÐ¾ÑÐ¾Ð², ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÐµÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ (ÑÐ°ÐºÑÐ¾Ð²Ð°Ñ ÑÐ°ÑÑÐ¾ÑÐ°, ÑÐµÑÑÑÑÑ) Ð¸ Ñ Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¾ÑÐ½Ð¾ÑÑÑÑ Ð¾ÑÑÑÐµÑÑÐ²Ð¸ÑÑ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÑÐµÐ¼Ð¾Ð¹ Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¾Ð¹ Ð¸Ð½ÑÐµÐ³ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÐµÐ¼Ðµ. ÐÐ°Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð²ÐµÑÐµÐ½Ð° Ð¿Ð¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ, Ð´Ð»Ñ Ð·Ð°Ð´Ð°Ð½Ð½ÑÑ Ð·Ð½Ð°ÑÐµÐ½Ð¸Ð¹ ÑÐ³Ð»Ð¾Ð² Ð°Ð·Ð¸Ð¼ÑÑÐ°, Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ ÑÐ¸Ð³Ð½Ð°Ð»/ÑÑÐ¼ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÐµÐ¼ÑÑ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð², Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÐµÐ¹ Ð¼Ð°ÑÑÐ¸Ñ. ÐÐ¾ÑÐ»Ðµ ÑÑÐ¾Ð³Ð¾ Ð±ÑÐ»Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð° Ð¾ÑÐ¸Ð±ÐºÐ° Ð¿ÑÐ¸ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾ÑÑÑÑ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð¼Ð°ÑÑÐ¸Ñ. Ð Ð·Ð°Ð²ÐµÑÑÐµÐ½Ð¸Ð¸, Ð±ÑÐ»Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° ÐÐÐÐ¡-Ð¾ÑÐ¸ÐµÐ½ÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð² ÑÑÐµÐ´Ðµ Simulink ÑÐ°ÐºÐ¶Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·ÑÑÑÐ°Ñ Ð»Ð¾Ð³Ð¸ÐºÑ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¾ÑÐºÐ¸. 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. ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¾ (Ð¿ÑÐ¾ÑÐµÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¾) Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ðµ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ MATLAB.
description: The purpose of the work is to develop the hardware architecture of the module for calculating eigenvalues and eigenvectors for the MUSIC algorithm, with 2x2 and 4x4 matrix dimensions, based on the hardware platform Xilinx Zynq UltraScale xczu5cg FPGA, which does not exceed 35% in terms of resources spent for each type (LUT, flipflops, block RAMs, DSPs). As a result of the research, a simulation model for calculating eigenvalues and eigenvectors was developed, which allows efficient (clock frequency, resources) and with a given accuracy to implement the algorithm in a programmable logic integrated circuit. This model was tested by modeling, for given values of azimuth angles, the signal-to-noise ratio of the number of received signals, as well as the dimensions of the matrices. After that, the error was investigated for different bit sizes of the input matrices. Finally, an FPGA-oriented model was developed in the Simulink environment that also uses fixed-point logic. Open educational resources and information search and analysis programs were used. MATLAB automation (automated) development tools were used. MATLAB software has been applied (tested).