English

Conservation of the passband signal amplitude using a filter based on the Fast Fourier Transform algorithm

Numerical Analysis 2024-07-19 v1 Numerical Analysis

Abstract

In this work, we propose an algorithm for a filter based on the Fast Fourier Transform (FFT), which, due to its characteristics, allows for an efficient computational implementation, ease of use, and minimizes amplitude variation in the filtered signal. The algorithm was implemented using the programming languages Python, R, and MATLAB. Initial results led to the conclusion that there was less amplitude loss in the filtered signal compared to the FIR filter. Future work may address a more rigorous methodology and comparative assessment of computational cost.

Keywords

Cite

@article{arxiv.2407.13414,
  title  = {Conservation of the passband signal amplitude using a filter based on the Fast Fourier Transform algorithm},
  author = {Flavio Dalossa Freire and Isabel Gebauer Soares},
  journal= {arXiv preprint arXiv:2407.13414},
  year   = {2024}
}

Comments

15 pages, 12 figures, code examples, 1 table