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most citedTwo Channel Filter Banks on Arbitrary Graphs with Positive Semi Definite Variation Operators

16 citations · 24 across the 28 of their papers we have counts for

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eess.SP2024

Graph-Based Signal Sampling with Adaptive Subspace Reconstruction for Spatially-Irregular Sensor Data

Darukeesan Pakiyarajah, Eduardo Pavez, Antonio Ortega

Choosing an appropriate frequency definition and norm is critical in graph signal sampling and reconstruction. Most previous works define frequencies based on the spectral properti…

eess.SP2024

Fast DCT+: A Family of Fast Transforms Based on Rank-One Updates of the Path Graph

Samuel Fernández-Menduiña, Eduardo Pavez, Antonio Ortega

This paper develops fast graph Fourier transform (GFT) algorithms with O(n log n) runtime complexity for rank-one updates of the path graph. We first show that several commonly-use…

eess.SP2024

Irregularity-Aware Bandlimited Approximation for Graph Signal Interpolation

Darukeesan Pakiyarajah, Eduardo Pavez, Antonio Ortega

In most work to date, graph signal sampling and reconstruction algorithms are intrinsically tied to graph properties, assuming bandlimitedness and optimal sampling set choices. How…

eess.SP2023

Joint Graph and Vertex Importance Learning

Benjamin Girault, Eduardo Pavez, Antonio Ortega

In this paper, we explore the topic of graph learning from the perspective of the Irregularity-Aware Graph Fourier Transform, with the goal of learning the graph signal space inner…

eess.SP2022★ 16 cited

Two Channel Filter Banks on Arbitrary Graphs with Positive Semi Definite Variation Operators

Eduardo Pavez, Benjamin Girault, Antonio Ortega +1

We propose novel two-channel filter banks for signals on graphs. Our designs can be applied to arbitrary graphs, given a positive semi definite variation operator, while using arbi…