Measurement time step and integration time step

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Hi,
i saw people using measurement time step and integration time step when performing the algorithmm using Matlab. What's the differences between these two?
Eg: T = 0.5; % measurement time step
tf = 30; % simulation length (seconds)
dt = 0.001; % time step for integration (seconds)
for t = T : T : tf % Simulate the system.
for tau = dt : dt : T
xdot(1,1) = x(2);
xdot(2,1) = rho0 * exp(-x(1)/k) * x(2)^2 / 2 * x(3) - g;
xdot(3,1) = 0; xdot = xdot + sqrt(dt * Q) * [randn; randn; randn];
x = x + xdot * dt;
end
.....

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