Exact Minimax Estimation for Phase Synchronization

Chao Gao, Anderson Y. Zhang

We study the phase synchronization problem with measurements $Y=z^{\ast }{z}^{\ast H}+\sigma W\in {\mathbb{C}}^{n\times n}$, where $z^{\ast }$ is an $n$-dimensional complex unit-modulus vector and $W$ is a c…