53 citations · 294 across the 17 of their papers we have counts for
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Parametric Lattices Are Better Quantizers in Dimensions 13 and 14
Daniel Pook-Kolb, Erik Agrell, Bruce Allen
New lattice quantizers with lower normalized second moments than previously reported are constructed in 13 and 14 dimensions and conjectured to be optimal. Our construction combine…
Optimization and Identification of Lattice Quantizers
Erik Agrell, Daniel Pook-Kolb, Bruce Allen
Lattices with minimal normalized second moments are designed using a new numerical optimization algorithm. Starting from a random lower-triangular generator matrix and applying sto…
Glued lattices are better quantizers than
Erik Agrell, Daniel Pook-Kolb, Bruce Allen
40 years ago, Conway and Sloane proposed using the highly symmetrical Coxeter-Todd lattice for quantization, and estimated its second moment. Since then, all published lis…
The Voronoi Region of the Barnes-Wall Lattice
Daniel Pook-Kolb, Erik Agrell, Bruce Allen
We give a detailed description of the Voronoi region of the Barnes-Wall lattice , including its vertices, relevant vectors, and symmetry group. The exact value of its quant…
Exact calculation of quantizer constants for arbitrary lattices
Daniel Pook-Kolb, Bruce Allen, Erik Agrell
We present an algorithm for the exact computer-aided construction of the Voronoi cells of lattices with known symmetry group. Our algorithm scales better than linearly with the tot…