✦ LIBER ✦
Non-harmonic Fourier analysis available for detecting very low-frequency components
✍ Scribed by Yoshimutsu Hirata
- Book ID
- 104031823
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 164 KB
- Volume
- 287
- Category
- Article
- ISSN
- 0022-460X
No coin nor oath required. For personal study only.
✦ Synopsis
The limitation of the spectrum estimation based on the procedure using the fast Fourier transform (FFT) is that of frequency resolution [1]. This limitation is particularly prominent when analyzing short data records. In practice, short data records occur because many measured processes have time-varying spectra and are considered constant only for short intervals. The following non-harmonic Fourier analysis is available for analyzing short data records.
Let að f Þ and bð f Þ be Fourier coefficients which are given by