- Tytuł:
- The New Insight into the Theory of 2-D Complex and Quaternion Analytic Signals
- Autorzy:
- Snopek, K. M.
- Powiązania:
- https://bibliotekanauki.pl/articles/226235.pdf
- Data publikacji:
- 2011
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
2-D Fourier transform
quaternion Fourier transforms
2-D Hilbert transforms
2-D analytic signals - 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.
- Źródło:
-
International Journal of Electronics and Telecommunications; 2011, 57, 3; 285-291
2300-1933 - Pojawia się w:
- International Journal of Electronics and Telecommunications
- Dostawca treści:
- Biblioteka Nauki
Artykuł