The problem of estimating the phases (angles) of a complex unit-modulus vector z from their
noisy pairwise relative measurements C=zz^*+σW, where W is a complex-valued Gaussian …

We consider the minimization of a function defined on a Riemannian manifold $\mathcal {M}
$ accessible only through unbiased estimates of its gradients. We develop a geometric …

Visible light communication (VLC) is seen as a supplement for fifth-generation (5G) wireless
communication in short-range high data rate communication applications [1]. A reliable VLC …

Two-dimensional (2-D)/3-D pose-graph simultaneous localization and map** (SLAM) is a
problem of estimating a set of poses based on noisy measurements of relative rotations and …

Synchronization of rotations is the problem of estimating a set of rotations R i∈ SO (n), i= 1⋯
N, based on noisy measurements of relative rotations R i R j⊤. This fundamental problem …

An estimation problem of fundamental interest is that of phase (or angular) synchronization,
in which the goal is to recover a collection of phases (or angles) using noisy measurements …

How to make the best decision? This general concern, pervasive in both research and
industry, is what optimization is all about. Optimization is a field of applied mathematics …

The supplement [10] includes all the technical proofs. In Appendix A, we first give the proof
of Theorem 3.1. In Appendix B, we give the proof of Theorem 4.1. After that, we prove …

In this article, we first derive a general intrinsic Barankin bound (IBB) for unknown
parameters lying on Lie groups (LGs), and its intrinsic McAulay–Seidman bound (IMSB) …

Scatter matrix and its normalized counterpart, referred to as shape matrix, are key
parameters in multivariate statistical signal processing, as they generalize the concept of …