English

Scaling the time and Fourier domains to align periodically and their convolution

Signal Processing 2023-09-19 v1 Sound Audio and Speech Processing

Abstract

This note shows how to align a periodic signal with its the Fourier transform by means of frequency or time scaling. This may be useful in developing new algorithms, e.g. for pitch estimation. This note also convolves the signals and the frequency time convolution is denoted fxt.

Keywords

Cite

@article{arxiv.2309.09645,
  title  = {Scaling the time and Fourier domains to align periodically and their convolution},
  author = {Matthew R. Flax and W. Harvey Holmes},
  journal= {arXiv preprint arXiv:2309.09645},
  year   = {2023}
}