New algorithm for the reconstruction of bandlimited functions and their Hilbert-transformed

Holger Boche; Marcus Protzmann

New algorithm for the reconstruction of bandlimited functions and their Hilbert-transformed

Holger Boche
, Marcus Protzmann

Friedrich Schiller University Jena

Research output: Contribution to journal › Conference article › peer-review

1 Scopus citations

Abstract

This paper presents a new algorithm which allows to reconstruct a bandlimited function from its not necessarily regularly spaced sampling instants and the recovery of the Hilbert-transformed of the function, too. So he renders the reconstruction of the real or the imaginary part of the dielectric permeability by means of the Kramers-Kronig-relations. The new algorithm also applies to two-dimensional functions.

Original language	English
Pages (from-to)	55-56
Number of pages	2
Journal	CPEM Digest (Conference on Precision Electromagnetic Measurements)
State	Published - 1996
Externally published	Yes
Event	Proceedings of the 1996 Conference on Precision Electromagnetic Measurements - Braunschweig, Ger Duration: 17 Jun 1996 → 20 Jun 1996

Cite this

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title = "New algorithm for the reconstruction of bandlimited functions and their Hilbert-transformed",

abstract = "This paper presents a new algorithm which allows to reconstruct a bandlimited function from its not necessarily regularly spaced sampling instants and the recovery of the Hilbert-transformed of the function, too. So he renders the reconstruction of the real or the imaginary part of the dielectric permeability by means of the Kramers-Kronig-relations. The new algorithm also applies to two-dimensional functions.",

author = "Holger Boche and Marcus Protzmann",

year = "1996",

language = "English",

pages = "55--56",

journal = "CPEM Digest (Conference on Precision Electromagnetic Measurements)",

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note = "Proceedings of the 1996 Conference on Precision Electromagnetic Measurements ; Conference date: 17-06-1996 Through 20-06-1996",

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T1 - New algorithm for the reconstruction of bandlimited functions and their Hilbert-transformed

AU - Boche, Holger

AU - Protzmann, Marcus

PY - 1996

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N2 - This paper presents a new algorithm which allows to reconstruct a bandlimited function from its not necessarily regularly spaced sampling instants and the recovery of the Hilbert-transformed of the function, too. So he renders the reconstruction of the real or the imaginary part of the dielectric permeability by means of the Kramers-Kronig-relations. The new algorithm also applies to two-dimensional functions.

AB - This paper presents a new algorithm which allows to reconstruct a bandlimited function from its not necessarily regularly spaced sampling instants and the recovery of the Hilbert-transformed of the function, too. So he renders the reconstruction of the real or the imaginary part of the dielectric permeability by means of the Kramers-Kronig-relations. The new algorithm also applies to two-dimensional functions.

UR - https://www.scopus.com/pages/publications/0029725427

M3 - Conference article

AN - SCOPUS:0029725427

SN - 0589-1485

SP - 55

EP - 56

JO - CPEM Digest (Conference on Precision Electromagnetic Measurements)

JF - CPEM Digest (Conference on Precision Electromagnetic Measurements)

T2 - Proceedings of the 1996 Conference on Precision Electromagnetic Measurements

Y2 - 17 June 1996 through 20 June 1996

ER -

New algorithm for the reconstruction of bandlimited functions and their Hilbert-transformed

Abstract

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