277 citations · 307 across the 8 of their papers we have counts for
8 papers
Spectra of Tridiagonal Matrices
J. J. P. Veerman, D. K. Hammond, Pablo E. Baldivieso
We characterize the eigenvalues and eigenvectors of a class of complex valued tridiagonal by matrices subject to arbitrary boundary conditions, i.e. with arbitrary elements…
Tridiagonal Matrices and Boundary Conditions
J. J. P. Veerman, David K. Hammond
We describe the spectra of certain tridiagonal matrices arising from differential equations commonly used for modeling flocking behavior. In particular we consider systems resultin…
GSPBOX: A toolbox for signal processing on graphs
Nathanaël Perraudin, Johan Paratte, David Shuman +4
This document introduces the Graph Signal Processing Toolbox (GSPBox) a framework that can be used to tackle graph related problems with a signal processing approach. It explains t…
Signal Velocity in Oscillator Networks
Carlos E. Cantos, J. J. P. Veerman, David K. Hammond
We investigate a system of coupled oscillators on the circle, which arises from a simple model for behavior of large numbers of autonomous vehicles. The model considers asymmetric,…
Stabilizing Nonuniformly Quantized Compressed Sensing with Scalar Companders
L. Jacques, D. K. Hammond, M. J. Fadili
This paper studies the problem of reconstructing sparse or compressible signals from compressed sensing measurements that have undergone nonuniform quantization. Previous approache…
Wavelets on Graphs via Spectral Graph Theory
David K Hammond, Pierre Vandergheynst, Rémi Gribonval
We propose a novel method for constructing wavelet transforms of functions defined on the vertices of an arbitrary finite weighted graph. Our approach is based on defining scaling…
Dequantizing Compressed Sensing: When Oversampling and Non-Gaussian Constraints Combine
Laurent Jacques, David K. Hammond, M. Jalal Fadili
In this paper we study the problem of recovering sparse or compressible signals from uniformly quantized measurements. We present a new class of convex optimization programs, or de…
Wavelet domain Bayesian denoising of string signal in the cosmic microwave background
D. K. Hammond, Y. Wiaux, P. Vandergheynst
An algorithm is proposed for denoising the signal induced by cosmic strings in the cosmic microwave background (CMB). A Bayesian approach is taken, based on modeling the string sig…