% I have a two column array, the first column is time and the second column is state. I ran interp1 to observe my data at uniform time points. The results were unexpected. In trying to identify the problem, I have run this simpler code expecting the deterministic uniformly spaced points to be uniformly distributed. They are not. Can anyone explain why not? Thanks.

% Parameters
thismesh = 100; % Number of bins
deltat = 1 / thismesh;
lasttime = 1000; % Example last time

% Generate uniform time steps
xx = 0:deltat:lasttime;

% Calculate fractional times
fractime = (xx – floor(xx)).’;

% Plot histogram to check uniformity
figure;
histogram(fractime, thismesh);
title(‘Histogram of fractional times’);
xlabel(‘Fractional time’);
ylabel(‘Count’);

% Display counts in each bin
[counts, edges] = histcounts(fractime, thismesh);
disp(‘Counts per bin:’);
disp(counts);

% Expected count per bin
expected_count = length(fractime) / thismesh;
disp(‘Expected count per bin:’);
disp(expected_count);

% Plot actual counts vs expected uniform count
figure;
bar(counts);
hold on;
yline(expected_count, ‘r’, ‘LineWidth’, 2);
hold off;
title(‘Actual counts vs Expected uniform count’);
xlabel(‘Bin’);
ylabel(‘Count’);
legend(‘Actual counts’, ‘Expected count’);
[SL: formatted code as code and ran that code]% I have a two column array, the first column is time and the second column is state. I ran interp1 to observe my data at uniform time points. The results were unexpected. In trying to identify the problem, I have run this simpler code expecting the deterministic uniformly spaced points to be uniformly distributed. They are not. Can anyone explain why not? Thanks.

% Parameters
thismesh = 100; % Number of bins
deltat = 1 / thismesh;
lasttime = 1000; % Example last time

% Generate uniform time steps
xx = 0:deltat:lasttime;

% Calculate fractional times
fractime = (xx – floor(xx)).’;

% Plot histogram to check uniformity
figure;
histogram(fractime, thismesh);
title(‘Histogram of fractional times’);
xlabel(‘Fractional time’);
ylabel(‘Count’);

% Display counts in each bin
[counts, edges] = histcounts(fractime, thismesh);
disp(‘Counts per bin:’);
disp(counts);

% Expected count per bin
expected_count = length(fractime) / thismesh;
disp(‘Expected count per bin:’);
disp(expected_count);

% Plot actual counts vs expected uniform count
figure;
bar(counts);
hold on;
yline(expected_count, ‘r’, ‘LineWidth’, 2);
hold off;
title(‘Actual counts vs Expected uniform count’);
xlabel(‘Bin’);
ylabel(‘Count’);
legend(‘Actual counts’, ‘Expected count’);
[SL: formatted code as code and ran that code] % I have a two column array, the first column is time and the second column is state. I ran interp1 to observe my data at uniform time points. The results were unexpected. In trying to identify the problem, I have run this simpler code expecting the deterministic uniformly spaced points to be uniformly distributed. They are not. Can anyone explain why not? Thanks.

% Parameters
thismesh = 100; % Number of bins
deltat = 1 / thismesh;
lasttime = 1000; % Example last time

% Generate uniform time steps
xx = 0:deltat:lasttime;

% Calculate fractional times
fractime = (xx – floor(xx)).’;

% Plot histogram to check uniformity
figure;
histogram(fractime, thismesh);
title(‘Histogram of fractional times’);
xlabel(‘Fractional time’);
ylabel(‘Count’);

% Display counts in each bin
[counts, edges] = histcounts(fractime, thismesh);
disp(‘Counts per bin:’);
disp(counts);

% Expected count per bin
expected_count = length(fractime) / thismesh;
disp(‘Expected count per bin:’);
disp(expected_count);

% Plot actual counts vs expected uniform count
figure;
bar(counts);
hold on;
yline(expected_count, ‘r’, ‘LineWidth’, 2);
hold off;
title(‘Actual counts vs Expected uniform count’);
xlabel(‘Bin’);
ylabel(‘Count’);
legend(‘Actual counts’, ‘Expected count’);
[SL: formatted code as code and ran that code] histogram, uniform distribution, deterministic MATLAB Answers — New Questions

​