[FPGA tutorial case 18] develop low delay open root calculation through ROM

FPGA Tutorial directory

MATLAB Tutorial directory

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1. Software version

vivado2019.2,matlab2021a

2. This algorithm has theoretical knowledge and IP Nuclear configuration

      This course , Its basic principles and courses 16 be similar , We will introduce the implementation process directly . Its mathematical expression can be expressed as ：

    

        From this formula, we can see , Of the formula x, It can be used as ROM Address input information of core ,sqrt(x) As ROM As the result of calculation .

2.1 be based on ROM Of lookup table sqrt(x) Calculation

First , adopt MATLAB Design a lookup table , Run the following MATLAB Program ：

clc;
clear;
close all;
warning off;
addpath(genpath(pwd));

x = [1:5000];
y = round(127*sqrt(x));