- Tytuł:
- The New Insight into the Theory of 2-D Complex and Quaternion Analytic Signals
- Autorzy:
- Snopek, K. M.
- Tematy:
-
2-D Fourier transform
quaternion Fourier transforms
2-D Hilbert transforms
2-D analytic signals - Pokaż więcej
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Powiązania:
- https://bibliotekanauki.pl/articles/226235.pdf Link otwiera się w nowym oknie
- Opis:
- The paper presents the overview of the theory of 2-D complex and quaternion analytic signals with the 1st-quadrant spectrum support. Both signals are expressed as complex/hypercomplex sums of partial and total 2-D Hilbert transforms. Moreover, starting with the definition of 2-D complex and quaternion Fourier transforms, the 2-D Hilbert transforms are derived in the form of sums of parts of different parity with respect to signal-domain variables. Some new relations for Hilbert quaternion spectra have been derived. The paper is illustrated with the example of the 2-D separable Cauchy signal.
- Dostawca treści:
- Biblioteka Nauki
Artykuł