Algorithm 1: Time delay determination
	Input: one-dimensional time series S = {xi}; time delay max value τmax; iteration number N
	Output: best time delay τ*
1	$\mathrm{compute} \mathrm{the} \mathrm{entropy} \mathrm{of} S: H\left(S\right)={{\displaystyle \sum }}_{s\in S}{p}_{s}log p_s$
2	for i = 1: N
3	time delay τ = i × τmax/N
4	time delayed system Q = {xi+τ}
5	$\mathrm{compute} \mathrm{the} \mathrm{entropy} \mathrm{of} Q: H\left(Q\right)={{\displaystyle \sum }}_{q\in Q}{p}_{q}log p_q$
6	$\mathrm{compute} \mathrm{the} \mathrm{joint} \mathrm{entropy} \mathrm{of} S\mathrm{and}Q: H\left(S,Q\right)={{\displaystyle \sum }}_{s\in S,q\in Q}{p}_{sq}log p_{sq}$
7	$\mathrm{compute} \mathrm{the} \mathrm{mutual} \mathrm{information} \mathrm{of} S\mathrm{and}Q: I(\tau )=H\left(S\right)+H\left(Q\right)-H\left(S,Q\right)$
8	end for
9	τ* $=arg \underset{\tau }{\min }I\left(\tau \right)$