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- Title
Hi-Accuracy Method for Spectrum Shift Determination.
- Authors
Pavlycheva, Nadezhda; Niyazgulyyewa, Ayna; Sakhabutdinov, Airat; Anfinogentov, Vladimir; Morozov, Oleg; Agliullin, Timur; Valeev, Bulat
- Abstract
A new hi-accuracy method for slight-shift determination of low-resolution spectra is proposed. The method allows determining a spectrum shift with an accuracy exceeding the spectrum analyzer resolution to more than three orders of magnitude due to the mathematical post-processing. The method is based on representing the spectrum as a continuous and everywhere differentiable function; expanding it into the Taylor series; approximating all the function derivatives by finite differences of a given order. Thereafter, the spectrum shift is determined using the least-squares method. The method description, its mathematical foundation and the simulation results are given. The advantages of the application of the proposed method are shown.
- Subjects
DERIVATIVES (Mathematics); FINITE differences; OPTICAL fiber detectors; SPECTRUM analyzers
- Publication
Fibers, 2023, Vol 11, Issue 7, p60
- ISSN
2079-6439
- Publication type
Article
- DOI
10.3390/fib11070060