English

Recovery of Graph Signals from Sign Measurements

Signal Processing 2021-09-28 v1

Abstract

Sampling and interpolation have been extensively studied, in order to reconstruct or estimate the entire graph signal from the signal values on a subset of vertexes, of which most achievements are about continuous signals. While in a lot of signal processing tasks, signals are not fully observed, and only the signs of signals are available, for example a rating system may only provide several simple options. In this paper, the reconstruction of band-limited graph signals based on sign sampling is discussed and a greedy sampling strategy is proposed. The simulation experiments are presented, and the greedy sampling algorithm is compared with random sampling algorithm, which verify the validity of the proposed approach.

Keywords

Cite

@article{arxiv.2109.12576,
  title  = {Recovery of Graph Signals from Sign Measurements},
  author = {Wenwei Liu and Hui Feng and Kaixuan Wang and Feng Ji and Bo Hu},
  journal= {arXiv preprint arXiv:2109.12576},
  year   = {2021}
}