Wigner-Ville distribution and ambiguity function associated with the quaternion offset linear canonical transform

• Autorzy: Bhat Mohammad Younus , Almanjahie Ibrahim M. , Dar Aamir H. , Dar Javid G.

Identyfikatory

DOI

10.1515/dema-2022-0175

• Języki publikacji: EN

Abstrakty

EN

Wigner-Ville transform or Wigner-Ville distribution (WVD) associated with quaternion offset linear canonical transform (QOLCT) was proposed by Bhat and Dar. This work is devoted to the development of the theory proposed by them, which is an emerging tool in the scenario of signal processing. The main contribution of this work is to introduce WVD and ambiguity function (AF) associated with the QOLCT (WVD-QOLCT/AF-QOLCT). First, the definition of the WVD-QOLCT is proposed, and then several important properties such as dilation, nonlinearity, and boundedness are derived. Second, we derived the AF for the proposed transform. A bunch of important properties, including the reconstruction formula associated with the AF, are studied.

Słowa kluczowe

EN

quaternion algebra; quaternion offset linear canonical transform; Wigner-Ville distribution; ambiguity function; dilation

PL

algebra; kwaterniony; liniowe przekształcenie kanoniczne; rozkład Wignera-Ville'a; zasada nieoznaczoności; rozszerzanie się

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2022
• Tom: Vol. 55, nr 1
• Strony: 786--797
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Bhat Mohammad Younus

• Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, Kashmir, India,

autor

Almanjahie Ibrahim M.

• Department of Mathematics, College of Science, King Khalid University, Abha 62529, Saudi Arabia

autor

Dar Aamir H.

• Department of Mathematical Sciences, Islamic University of Science and Technology, Awantipora, Kashmir, India,

autor

Dar Javid G.

• Department of Applied Sciences, Symbiosis Institute of Technology, Symbiosis International (Deemed University), Pune, India

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).