English

Exact Fourier Spectrum Recovery

Data Analysis, Statistics and Probability 2015-06-15 v1

Abstract

Discrete Fourier Transform (DFT) is widely used in signal processing to analyze the frequencies in a discrete signal. However, DFT fails to recover the exact Fourier spectrum, when the signal contains frequencies that do not correspond to the sampling grid. Here, we present an exact Fourier spectrum recovery method and we provide an implementation algorithm. Also, we show numerically that the proposed method is robust to noise perturbations.

Keywords

Cite

@article{arxiv.1304.2043,
  title  = {Exact Fourier Spectrum Recovery},
  author = {M. Andrecut},
  journal= {arXiv preprint arXiv:1304.2043},
  year   = {2015}
}

Comments

11 pages, 4 figures

R2 v1 2026-06-21T23:55:15.724Z