A Unified Approach to Synchronization Problems over Subgroups of the Orthogonal Group

Understand

The problem of synchronization over a group $\mathcal{G}$ aims to estimate a collection of group elements $G^*_1, \dots, G^*_n \in \mathcal{G}$ based on noisy observations of a subset of all pairwise ratios of the form $G^*_i {G^*_j}^{-1}$.

• Such a problem has gained much attention recently and finds many applications across a wide range of scientific and engineering areas.
• In this paper, we consider the class of synchronization problems in which the group is a closed subgroup of the orthogonal group.
• This class covers many group synchronization problems that arise in practice.