21 citations · 73 across the 7 of their papers we have counts for
5 papers · 1 filter
Selecting wavelengths for least squares range estimation
Assad Akhlaq, Robby McKilliam, Ramanan Subramanian +1
We consider the problem of estimating the distance, or range, between two locations by measuring the phase of multiple sinusoidal signals transmitted between the locations. Traditi…
Finding short vectors in a lattice of Voronoi's first kind
Robby McKilliam, Alex Grant
We show that for those lattices of Voronoi's first kind, a vector of shortest nonzero Euclidean length can computed in polynomial time by computing a minimum cut in a graph.
On the error performance of the lattices
Robby McKilliam, Ramanan Subramanian, Emanuele Viterbo +1
We consider the root lattice and derive explicit formulae for the moments of its Voronoi cell. We then show that these formulae enable accurate prediction of the error probab…
Linear-time nearest point algorithms for Coxeter lattices
Robby G. McKilliam, Warren D. Smith, I. Vaughan L. Clarkson
The Coxeter lattices, which we denote , are a family of lattices containing many of the important lattices in low dimensions. This includes , , and their d…
An Algorithm to Compute the Nearest Point in the Lattice
Robby G. McKilliam, I. Vaughan L. Clarkson, Barry G. Quinn
The lattice is an important lattice because of its covering properties in low dimensions. Clarkson \cite{Clarkson1999:Anstar} described an algorithm to compute the nearest…