Abstract
In a previous paper [6], a numerical procedure for the Fourier analysis of quasi-periodic functions was developed, allowing for an accurate determination of frequencies and amplitudes from equally-spaced samples of the input function on a finite time interval. This paper is devoted to a complete error analysis of that procedure, from which computable bounds are deduced. These bounds are verified and further discussed in examples.
| Original language | English |
|---|---|
| Pages (from-to) | 75-109 |
| Journal | Discrete and Continuous Dynamical Systems - Series B |
| Volume | 14 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jul 2010 |
Keywords
- Fast fourier transform
- Numerical fourier analysis
- Quasi-periodic functions