Hilbert transforms

{
  "id": "MLC-T-CHM-005303",
  "term": "Hilbert transforms",
  "field": "Chemistry",
  "definition": "A mathematical operation that shifts the phase of every frequency component of a signal by 90 degrees without altering its amplitude. In analytical spectroscopy, this transform is applied to spectral data to interconvert the real and imaginary parts of a complex function, such as the relationship between absorbance and refractive index described by the Kramers-Kronig relations. Applying the Hilbert transform to an absorption spectrum can yield the corresponding dispersion spectrum, and vice versa.",
  "subject": "Analytical Chemistry",
  "references": [
    "PAC, 2021, 93, 647. 'Glossary of methods and terms used in analytical spectroscopy (IUPAC Recommendations 2019)' on page 661 (https://doi.org/10.1515/pac-2019-0203)"
  ],
  "url": "https://mlchart.com/terminology/chemistry/hilbert-transforms/"
}