Use CDF for graph

Hi everyone,

I have this graph that shows the serial time of transimation data for 10000 rounds (x is time and y is the number of rounds). How can I use CDF in this graph?

figure

subplot(3,1,1)

plot(1:Simulation,OverallTotalDelayArrOptimalEnv(2,:),'r--');

title('E2ET-(kkk) #50 Nodes')

xlabel('Rounds');

ylabel('Time (ms)');

grid on

subplot(3,1,2)

plot(1:Simulation,OverallTotalDelayArrOriginalEnv(2,:),'k-.');

title('E2ET-(bbb) #50 Nodes')

xlabel('Rounds');

ylabel('Time (ms)');

grid on

subplot(3,1,3)

plot(1:Simulation,OverallTotalDelayArrShortEnv(1,:),'b');

title('E2ET-(bbb) #50 Nodes')

xlabel('Rounds');

ylabel('Time (ms)');

grid on

Answer 1

[Hassaan]

To use a Cumulative Distribution Function (CDF) in your graph, you'll first need to compute the CDF for each of the data sets you are plotting

(i.e., OverallTotalDelayArrOptimalEnv(2,:),

OverallTotalDelayArrOriginalEnv(2,:),

and OverallTotalDelayArrShortEnv(1,:)).

A CDF plot will show the proportion of data points less than or equal to a certain value, which can be useful for understanding the distribution and variability of your data over time.

Here’s how you can modify your code to include CDF plots for each of your datasets:

% Assuming 'Simulation' is defined and contains the number of simulation rounds
Simulation = 10000;  % Example value, replace with your actual number of rounds

% Your existing data arrays
% OverallTotalDelayArrOptimalEnv, OverallTotalDelayArrOriginalEnv, OverallTotalDelayArrShortEnv
% should already be defined in your workspace

% Plotting the existing time series data
figure;
subplot(4,1,1)
plot(1:Simulation, OverallTotalDelayArrOptimalEnv(2,:), 'r--');
title('E2ET-(kkk) #50 Nodes');
xlabel('Rounds');
ylabel('Time (ms)');
grid on;

subplot(4,1,2)
plot(1:Simulation, OverallTotalDelayArrOriginalEnv(2,:), 'k-.');
title('E2ET-(bbb) #50 Nodes');
xlabel('Rounds');
ylabel('Time (ms)');
grid on;

subplot(4,1,3)
plot(1:Simulation, OverallTotalDelayArrShortEnv(1,:), 'b');
title('E2ET-(bbb) #50 Nodes');
xlabel('Rounds');
ylabel('Time (ms)');
grid on;

% Calculating and plotting the CDF for each dataset
subplot(4,1,4)
[cdfOptimal, xOptimal] = ecdf(OverallTotalDelayArrOptimalEnv(2,:));
plot(xOptimal, cdfOptimal, 'r--');
hold on;
[cdfOriginal, xOriginal] = ecdf(OverallTotalDelayArrOriginalEnv(2,:));
plot(xOriginal, cdfOriginal, 'k-.');
[cdfShort, xShort] = ecdf(OverallTotalDelayArrShortEnv(1,:));
plot(xShort, cdfShort, 'b');
title('CDF of E2ET for Different Environments');
xlabel('Time (ms)');
ylabel('CDF');
grid on;
hold off;

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