Hi Shakirudeen,
I understand that you want to analyze track irregularities data with Fractal dimension using Ruler method in MATLAB.
To Implement the same, kindly refer to the following example:
irregularities = [1.2, 2.3, 3.4, 4.5, 5.6, 6.7, 7.8, 8.9, 9.0, 10.1]; % example data
% Define a range of box sizes (ruler lengths)
box_sizes = 1:5:20;
% Initialize an array to store the number of boxes covering the data
num_boxes = zeros(size(box_sizes));
% Perform the ruler method
for i = 1:length(box_sizes)
box_size = box_sizes(i);
num_boxes(i) = count_boxes(irregularities, box_size);
end
% Fit a linear regression to the data to estimate the fractal dimension
coefficients = polyfit(log(box_sizes), log(num_boxes), 1);
fractal_dimension = -coefficients(1);
% Plot the results
figure;
plot(log(box_sizes), log(num_boxes), 'o-');
xlabel('log(Box Size)');
ylabel('log(Number of Boxes)');
title(['Fractal Dimension']);
% Function to count the number of boxes covering the data
function count = count_boxes(data, box_size)
count = 0;
for i = 1:length(data)
x = data(i);
% Check if the box of the given size covers the data point
if abs(x) <= box_size / 2
count = count + 1;
end
end
end
For more information regarding “polyfit”, kindly refer to the following documentation:
I hope this answer helps you.
Regards,
Nithin Kumar.
