Spline Modulation of Sinusoids for Signal Representation

Kai Bittner; Charles K. Chui

doi:10.1007/s00041-003-0909-9

Spline Modulation of Sinusoids for Signal Representation

Kai Bittner^*, Charles K. Chui

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

3 Zitate (Scopus)

Abstract

We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.

Originalsprache	Englisch
Seiten (von - bis)	597-622
Seitenumfang	26
Fachzeitschrift	Journal of Fourier Analysis and Applications
Jahrgang	9
Ausgabenummer	6
DOIs	https://doi.org/10.1007/s00041-003-0909-9
Publikationsstatus	Veröffentlicht - 2003
Extern publiziert	Ja

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10.1007/s00041-003-0909-9

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title = "Spline Modulation of Sinusoids for Signal Representation",

abstract = "We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.",

keywords = "B-splines, Exponential Euler splines, Riesz basis, Wilson bases",

author = "Kai Bittner and Chui, {Charles K.}",

year = "2003",

doi = "10.1007/s00041-003-0909-9",

language = "English",

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pages = "597--622",

journal = "Journal of Fourier Analysis and Applications",

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T1 - Spline Modulation of Sinusoids for Signal Representation

AU - Bittner, Kai

AU - Chui, Charles K.

PY - 2003

Y1 - 2003

N2 - We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.

AB - We investigate biorthogonal Wilson bases generated by cardinal B-splines. Such bases provide very efficient representations of sinusoids modulated by spline functions. Exact Riesz bounds for such bases are given. Furthermore, we derive an explicit formula for the computation of the dual window functions and determine their decay rates.

KW - B-splines

KW - Exponential Euler splines

KW - Riesz basis

KW - Wilson bases

UR - http://www.scopus.com/inward/record.url?scp=0742271387&partnerID=8YFLogxK

U2 - 10.1007/s00041-003-0909-9

DO - 10.1007/s00041-003-0909-9

M3 - Article

AN - SCOPUS:0742271387

SN - 1069-5869

VL - 9

SP - 597

EP - 622

JO - Journal of Fourier Analysis and Applications

JF - Journal of Fourier Analysis and Applications

IS - 6

ER -

Spline Modulation of Sinusoids for Signal Representation

Abstract

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