Philip A. Chou

Gaussian process transforms

2016

We introduce the Gaussian Process Transform (GPT), an orthogonal transform for signals defined on a finite but otherwise arbitrary set of points in a Euclidean domain. The GPT is obtained as the Karhunen-Loéve Transform (KLT) …

Spectral Folding And Two-Channel Filter-Banks On Arbitrary Graphs

2021

In the past decade, several multi-resolution representation theories for graph signals have been proposed. Bipartite filter-banks stand out as the most natural extension of time domain filter-banks, in part because perfect reconstruction, orthogonality and bi-orthogonality …