how can I simulate poisson random process ?

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how can to simulate a single realization of the Poisson counting process as described above. Such that the discrete-amplitude random process counts the number of packets arriving in the time interval [0,t). Take your simulation total time to be 10 hours, time sampling step size to be 1 sec.
where the average number of packets arriving per minute in a certain cell is lamda equal 10 .
how can I compute the interval times between the arrival of each two successive packets ?
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mai ahmed
mai ahmed 2021-1-5
T = 10;
lambda = 1/6;
Rand=randi([1,10], 36000);
prob = (lambda.^Rand) .* exp(-lambda) ./ factorial(Rand);
summation = sum(prob);
disp(summation);
hist(summation)
p=rand(1,36000);
t = -6 *log(1-p);
is that correct ?

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