English

Reconstruction of sparse wavelet signals from partial Fourier measurements

Information Theory 2015-10-28 v1 math.IT

Abstract

In this paper, we show that high-dimensional sparse wavelet signals of finite levels can be constructed from their partial Fourier measurements on a deterministic sampling set with cardinality about a multiple of signal sparsity.

Keywords

Cite

@article{arxiv.1506.01871,
  title  = {Reconstruction of sparse wavelet signals from partial Fourier measurements},
  author = {Yang Chen and Cheng Cheng and Qiyu Sun},
  journal= {arXiv preprint arXiv:1506.01871},
  year   = {2015}
}