. Author manuscript; available in PMC: 2019 Feb 15.

Published in final edited form as: IEEE Trans Signal Process. 2017 Nov 20;66(4):1037–1050. doi: 10.1109/TSP.2017.2775591

Algorithm 3.

Iterative phase synchronization algorithm

Input: The normalized bispectrum B̃, initial estimation ŷ₀, phase of the mean ỹ[0]

Output: ŷ: estimation of ỹ

Set k = 0

while stopping criterion does not trigger do:

k ← k + 1
Compute ŷ_k as a solution of (III.5)
Fix the global phase: ${\hat{y}}_{k} \leftarrow {\hat{y}}_{k} \cdot \frac{\tilde{y} [0]}{{\hat{y}}_{k} [0]}$
If x is real, symmetrize: ŷ_k ← phase ((ŷ_k)_↓↑), see (B.1)

end while

Return: ŷ ← ŷ_k