rayleigh distribution with user equipment distance change in matlab

You can create a Rayleigh distribution in MATLAB using the raylrnd function. If you want to model changes in user equipment distance, you can generate a new set of samples by specifying different scale parameters for the Rayleigh distribution.

Here is an example code snippet in MATLAB that demonstrates how to generate Rayleigh distributed data with varying scale (distance) values:

main.m
% Parameters for Rayleigh distribution
sigma_min = 1; % Minimum value for scale parameter sigma
sigma_max = 5; % Maximum value for scale parameter sigma
num_points = 1000; % Number of points to generate

% Varying the user equipment distance (scale parameter) in Rayleigh distribution
sigma_values = linspace(sigma_min, sigma_max, num_points); 
data = zeros(num_points, 1000); % Assuming 1000 samples each time

% Generate Rayleigh distributed data for each sigma value
for i = 1:num_points
    data(i, :) = raylrnd(sigma_values(i), 1, 1000); % Generating 1000 samples each time
end

% Plotting one of the generated data sets
histogram(data(1, :), 50); % Adjust the number of bins as needed
xlabel('Value');
ylabel('Frequency');
title('Rayleigh Distributed Data with Varying Scale');

% You can access other generated data sets by changing the index in data(index, :) 
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In the above code snippet, raylrnd function is used to generate Rayleigh distributed data with varying scale values between sigma_min and sigma_max. You can further manipulate the parameters and the number of generated samples according to your requirements.

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