A Novel Approach for Defining a Hilbert Number Transform

Autor:	Marcos A. A. Gondim, Ricardo M. Campello de Souza, Juliano B. Lima
Rok vydání:	2021
Předmět:	Algebra symbols.namesake Fourier number Finite field Computer science Applied Mathematics Signal Processing symbols Point (geometry) Trigonometry Hilbert number
Zdroj:	Circuits, Systems, and Signal Processing. 41:1776-1787
ISSN:	1531-5878 0278-081X
DOI:	10.1007/s00034-021-01834-2
Popis:	In this brief, we introduce a new definition for the Hilbert number transform (HNT). Our approach employs concepts related to trigonometry over finite fields and uses as a starting point a specific definition for the Fourier number transform (FNT); one demonstrates that such an FNT allows to define an HNT which is analogous to the real-valued version of the corresponding transform. Additionally, we present a method to obtain the proposed HNT from the recently proposed steerable Fourier number transform.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::a7242fe017b1292e32c02fb9ed717367 https://doi.org/10.1007/s00034-021-01834-2 Zobrazit plný text záznamu Full text from SpringerLink