title: ÐÑÑÐ¾ÐºÐ¾ÑÐºÐ¾ÑÐ¾ÑÑÐ½Ð°Ñ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð°Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ°ÑÑÐµÑÐ° ÑÐ°Ð·Ñ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ½ÑÑ ÑÐ¸ÑÐµÐ» Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Cordic
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The Cordic algorithm and hardware architectures of Cordic algorithm
Creators: name: ÐÐ°Ð»Ð¸Ð½Ð¸Ð½Ð°, ÐÐ°ÑÐ²Ð°Ñ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: 2023
Subjects: ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ
ÑÐ°Ð·Ð° ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÐ»Ð°
ÐºÐ¾Ð½Ð²ÐµÐ¹ÐµÑÐ½Ð°Ñ Ð°ÑÑ Ð¸ÑÐµÐºÑÑÑÐ°
ÑÐ²ÐµÑÐ½ÑÑÐ°Ñ Ð°ÑÑ Ð¸ÑÐµÐºÑÑÑÐ°
argument of a complex number
pipelined architecture
foldedÂ architecture

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°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð°Ñ Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÐ° Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ°ÑÑÐµÑÐ° ÑÐ°Ð·Ñ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÐ»Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Cordic, Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ°Ñ Ð¿Ð¾Ð²ÑÑÐ¸ÑÑ Ð²ÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÑ ÑÐºÐ¾ÑÐ¾ÑÑÑ. ÐÑÐ»Ð° Ð¾ÑÑÑÐµÑÑÐ²Ð»ÐµÐ½Ð° ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ñ Ð°Ð¿Ð¿Ð°ÑÐ°ÑÐ½Ð¾Ð¹ Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° ÑÐ°ÑÑÐµÑÐ° ÑÐ°Ð·Ñ ÐºÐ¾Ð¼Ð¿Ð»ÐµÐºÑÐ½Ð¾Ð³Ð¾ ÑÐ¸ÑÐ»Ð° Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Cordic Ð² ÐÐÐÐ¡ Xilinx xcku060-ffva1517-2-I ÑÐµÐ¼ÐµÐ¹ÑÑÐ²Ð° Kintex UltraScale Ð¸ Intel 10CX220YF780E6G ÑÐµÐ¼ÐµÐ¹ÑÑÐ²Ð°Â Cyclone 10 GX. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½ ÑÐ¸Ð½ÑÐµÐ· Ð±Ð»Ð¾ÐºÐ¾Ð² Ñ ÑÐµÐ°Ð»Ð¸Ð·Ð¾Ð²Ð°Ð½Ð½Ð¾Ð¹ Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÐ¾Ð¹ Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½ Ð¾ÑÑÐµÑ Ð¾ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð½ÑÑ ÑÐµÑÑÑÑÐ¾Ð² Ð² ÐÐÐÐ¡ Ð¿ÑÐ¸ ÑÐ°Ð·Ð½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾ÑÑÑÑ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½ ÑÐ¸Ð½ÑÐµÐ· IP-ÑÐ´ÐµÑ Xilinx Cordic v.6.0Â Ð¸ Altera ALTERA_Cordic Ð¸ Ð¿Ð¾Ð»ÑÑÐµÐ½ Ð¾ÑÑÐµÑ Ð¾ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ðµ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð½ÑÑ ÑÐµÑÑÑÑÐ¾Ð² Ð² ÐÐÐÐ¡ Ð¿ÑÐ¸ ÑÐ°Ð·Ð½ÑÑ ÑÐ°Ð·ÑÑÐ´Ð½Ð¾ÑÑÑÑ Ð²ÑÐ¾Ð´Ð½ÑÑ Ð´Ð°Ð½Ð½ÑÑ. ÐÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð° Ð²ÐµÑÐ¸ÑÐ¸ÐºÐ°ÑÐ¸Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð±Ð»Ð¾ÐºÐ°. Ð£ÑÑÐµÐ½Ñ ÑÐµÑÐ¼Ð¸Ð½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¾ÑÐ¾Ð±ÐµÐ½Ð½Ð¾ÑÑÐ¸ Ð¿ÑÐµÐ´Ð¼ÐµÑÐ½Ð¾Ð¹ Ð¾Ð±Ð»Ð°ÑÑÐ¸ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐµ ÑÑÐµÐ´ÑÑÐ²Ð° Ð´Ð»Ñ ÑÐµÑÐµÐ½Ð¸Ñ Ð·Ð°Ð´Ð°Ñ. ÐÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¾ ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ðµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾-Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¾Ðµ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ðµ MATLAB, Vivado.
description: The given work is devoted to reducing the amount of resources occupied by the algorithm for calculating the phase of a complex number based on Cordic when implemented in an FPGA. As a result of the study, a hardware architecture of the algorithm for calculating the phase of a complex number based on Cordic was developed, which allows increasing the computational speed. The hardware architecture of the algorithm for calculating the phase of a complex number based on Cordic was implemented in the Xilinx xcku060-ffva1517-2-I FPGA of the Kintex UltraScale family and Intel 10CX220YF780E6G of the Cyclone 10 GX family The synthesis of blocks with the implemented architecture was carried out and a report was obtained on the number of resources used in the FPGA for different input data lengths. The developed block was verified. The synthesis of Xilinx Cordic v.6.0 and Altera ALTERA_Cordic IP cores was performed, and a report was obtained on the amount of resources used in the FPGA for different input data widths. The terminological features of the subject area are considered and software tools are used to solve problems. Specialized software-mathematical software MATLAB, Vivado was used.