The New Insight into the Theory of 2-D Complex and Quaternion Analytic Signals

• Autorzy: Snopek K. M.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

2-D Fourier transform; quaternion Fourier transforms; 2-D Hilbert transforms; 2-D analytic signals

• Wydawca: Polish Academy of Sciences, Committee of Electronics and Telecommunication
• Czasopismo: International Journal of Electronics and Telecommunications
• Rocznik: 2011
• Tom: Vol. 57, No. 3
• Strony: 285--291
• Opis fizyczny: Bibliogr. 17 poz., wykr.

Twórcy

autor

Snopek K. M.

• Institute of Radioelectronics, Warsaw University of Technology, Nowowiejska 15/19, 00-665 Warsaw, Poland

Bibliografia

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