title: ÐÐ¿Ð¿Ð°ÑÐ°ÑÐ½Ð°Ñ Ð°ÑÑ Ð¸ÑÐµÐºÑÑÑÐ° Ð¼Ð¾Ð´ÑÐ»Ñ Ð¾Ð±ÑÐ°ÑÐµÐ½Ð¸Ñ Ð¼Ð°ÑÑÐ¸ÑÑ Ð´Ð»Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¸ ÑÑÐ¼Ð°
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 matrix inversion module for Minimum Variance Distortion-less Response (MVDR) beamformer
Creators: name: Ð¢ÐºÐ°ÑÐµÐ½ÐºÐ¾, ÐÐ°ÑÐ²ÐµÐ¹
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ÐÐÐ
Ð¿Ð¾Ð²Ð¾ÑÐ¾Ñ ÐÐ¸Ð²ÐµÐ½ÑÐ°
ÐÐÐÐ¡
Ð¿Ð°ÑÐ°Ð»Ð»ÐµÐ»ÑÐ½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ
Ð¾Ð±ÑÐ°ÑÐµÐ½Ð¸Ðµ Ð¼Ð°ÑÑÐ¸ÑÑ
QR-ÑÐ°Ð·Ð»Ð¾Ð¶ÐµÐ½Ð¸Ðµ
MVDR
Givensrotation
FPGA
parallel implementation
QR-decomposition
matrix inversion

description: Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð¾Ð¹ Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÑ Ð´Ð»Ñ Ð½Ð°ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ñ Ð¾Ð±ÑÐ°ÑÐ½ÑÑ Ð¼Ð°ÑÑÐ¸Ñ ÑÐ°Ð·Ð¼ÐµÑÐ½Ð¾ÑÑÑÑ 2Ã2, 4Ã4 Ð´Ð»Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð¼Ð¸Ð½Ð¸Ð¼Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð´Ð¸ÑÐ¿ÐµÑÑÐ¸Ð¸ ÑÑÐ¼Ð°.Â  Ð¦ÐµÐ»ÐµÐ²Ð°Ñ Ð¿Ð»Ð°ÑÑÐ¾ÑÐ¼Ñ Xilinx Zynq Ultrscale+ Ð´Ð¾Ð¿ÑÑÐºÐ°ÐµÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð´Ð¾ 35% Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½ÑÑ ÑÐµÑÑÑÑÐ¾Ð² Ð´Ð»Ñ ÐºÑÐ¸ÑÑÐ°Ð»Ð»Ð° xczu5cg Ð¿Ð¾ ÐºÐ°Ð¶Ð´Ð¾Ð¼Ñ ÑÐ¸Ð¿Ñ (LUTs, Flip-Flops, BRAMs, DSPs). 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° Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¾Ð±ÑÐ°ÑÐµÐ½Ð¸Ñ Ð¼Ð°ÑÑÐ¸Ñ, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ°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 Ñ Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¾ÑÐ½Ð¾ÑÑÑÑ. ÐÐ»Ñ Ð¿ÑÐ¾Ð²ÐµÑÐºÐ¸ ÑÐ°Ð±Ð¾ÑÐ¾ÑÐ¿Ð¾ÑÐ¾Ð±Ð½Ð¾ÑÑÐ¸ Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¾Ð½Ð° Ð±ÑÐ»Ð° Ð¿ÑÐ¾Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð° Ð´Ð»Ñ Ð²ÑÐµÐ³Ð¾ Ð´Ð¸Ð°Ð¿Ð°Ð·Ð¾Ð½Ð° ÑÐ³Ð»Ð¾Ð² Ð°Ð·Ð¸Ð¼ÑÑÐ° Ð¸ Ð¼ÐµÑÑÐ°, Ð¼Ð¾ÑÐ½Ð¾ÑÑÐµÐ¹ ÑÐ¸Ð³Ð½Ð°Ð»Ð¾Ð² Ð¸ ÑÑÐ¼Ð¾Ð², ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÐµÐ¼ÑÑ Ð¿Ð¾Ð¼ÐµÑ, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°Ð·ÑÑÐ´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°Ð½Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ÑÑÐ¸ Ð²ÑÐ±Ð¾ÑÐ° ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾ÑÑÐµÐ¹ Ð´Ð»Ñ Ð¿ÐµÑÐµÐ²Ð¾Ð´Ð° Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð² Ð»Ð¾Ð³Ð¸ÐºÑ ÑÐ¸ÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐ¾ÑÐºÐ¸, Ñ Ð·Ð°Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÑÐµÐ´Ð½ÐµÐ¹ Ð¾ÑÐ¸Ð±ÐºÐ¾Ð¹. 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, Simulink. 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, Simulink.
description: The purpose of the work is to design a hardware architecture for finding inverse matrices of dimensionality 2Ã2 4Ã4, with an acceptable 35% resource utilization of the target Xilinx Zynq Ultrscale+ on-chip xczu5cg platform per type (LUTs, Flip-Flops, BRAMs, DSPs). As a result of the research, a mathematical model of matrix inversion has been developed which allows the algorithm to be implemented in a programmable logic integrated circuit as efficiently as possible and with a given accuracy. This model was verified by simulation for given values of azimuth and position angles, signal and noise powers, amount of received noise, and matrix digits. The possibilities of choosing different bit sizes to translate the model into fixed-point logic with a given average error were then investigated. Open educational resources and information search and analysis programs were used. Automation (automated) development tools were used Matlab, Simulink. The software has been applied (tested) Matlab, Simulink.