Monogenic Signal Theory

Paula Cerejeiras () and Uwe Kähler ()
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Paula Cerejeiras: University of Aveiro, Department of Mathematics, CIDMA – Center for Research and Development in Mathematics and Applications
Uwe Kähler: University of Aveiro, Department of Mathematics, CIDMA – Center for Research and Development in Mathematics and Applications

Chapter 60 in Operator Theory, 2015, pp 1701-1724 from Springer

Abstract: Abstract This survey is intended as a mathematical overview of the monogenic signal Monogenic signals theory, its current developments as well as of its applications to various problems. Several approaches to the concept of monogenic signal are given, followed by a short discussion on its advantages and drawbacks. Among those, one highlights the definitions arising from different concepts of Hilbert transforms, as well as the concept of the monogenic signal as a solution to a boundary value problem. In the last part, some recent developments in the field are presented.

Keywords: Analytic Signal; Dirac Operator; Hardy Space; Clifford Algebra; Singular Integral Operator (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-0667-1_14

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DOI: 10.1007/978-3-0348-0667-1_14

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