Gaussian vs Uniform Distribution in MATLAB

 

MATLAB Code

clc;

clear all;

close all;

% Number of samples to generate

n = 100000;

% Generate Uniform distribution between 0 and 1

r = rand(1, n);  % rand generates numbers in the range [0, 1]

% Transform to the range [-1, 1]

a = -1;

b = 1;

uniform_values = a + (b - a) * r;

% Plot the histogram of the generated uniform distribution

figure;

histogram(uniform_values, 30, 'Normalization', 'pdf');  % Normalized to show probability density

title('Uniform Distribution between -1 and 1');

xlabel('Value');

ylabel('Probability Density');

% Generate Gaussian distribution (Standard Normal Distribution)

gaussian_values = randn(1, n);  % Standard normal distribution (mean = 0, std = 1)

% Plotting the Gaussian distribution

figure;

histogram(gaussian_values, 30, 'Normalization', 'pdf');  % Normalized to show probability density

title('Gaussian Distribution (Standard Normal)');

xlabel('Value');

ylabel('Probability Density');

Output

Copy the MATLAB Code from here

% The code is developed by SalimWireless.com clc; clear all; close all; % Number of samples to generate n = 100000; % Generate Uniform distribution between 0 and 1 r = rand(1, n); % rand generates numbers in the range [0, 1] % Transform to the range [-1, 1] a = -1; b = 1; uniform_values = a + (b - a) * r; % Plot the histogram of the generated uniform distribution figure; histogram(uniform_values, 30, 'Normalization', 'pdf'); % Normalized to show probability density title('Uniform Distribution between -1 and 1'); xlabel('Value'); ylabel('Probability Density'); % Generate Gaussian distribution (Standard Normal Distribution) gaussian_values = randn(1, n); % Standard normal distribution (mean = 0, std = 1) % Plotting the Gaussian distribution figure; histogram(gaussian_values, 30, 'Normalization', 'pdf'); % Normalized to show probability density title('Gaussian Distribution (Standard Normal)'); xlabel('Value'); ylabel('Probability Density'); web('https://www.salimwireless.com/search?q=gaussian%20uniform%20distribution', '-browser');  

Further Reading

1.