On sampling theorem, wavelets and wavelet transforms

Xiang Gen Xia; Zhen Zhang

On sampling theorem, wavelets and wavelet transforms

Xiang Gen Xia^*, Zhen Zhang

^*Corresponding author for this work

University of Southern California

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The classical Shannon sampling theorem has many applications and generalizations. From wavelet transform point of view, it provides the sinc wavelets. Recently it has also been extended to general wavelet subspaces by G. G. Walter (1992). A cardinal scaling function is analyzed. The wavelet generated from cardinal scaling functions are called cardinal wavelets. A pertinent analysis is included.

Original language	English
Title of host publication	Proceedings of the 1993 IEEE International Symposium on Information Theory
Publisher	Publ by IEEE
Pages	329
Number of pages	1
ISBN (Print)	0780308786
Publication status	Published - 1993
Externally published	Yes
Event	Proceedings of the 1993 IEEE International Symposium on Information Theory - San Antonio, TX, USA Duration: 17 Jan 1993 → 22 Jan 1993

Publication series

Name	Proceedings of the 1993 IEEE International Symposium on Information Theory

Conference

Conference	Proceedings of the 1993 IEEE International Symposium on Information Theory
City	San Antonio, TX, USA
Period	17/01/93 → 22/01/93

Cite this

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title = "On sampling theorem, wavelets and wavelet transforms",

abstract = "The classical Shannon sampling theorem has many applications and generalizations. From wavelet transform point of view, it provides the sinc wavelets. Recently it has also been extended to general wavelet subspaces by G. G. Walter (1992). A cardinal scaling function is analyzed. The wavelet generated from cardinal scaling functions are called cardinal wavelets. A pertinent analysis is included.",

author = "Xia, {Xiang Gen} and Zhen Zhang",

year = "1993",

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series = "Proceedings of the 1993 IEEE International Symposium on Information Theory",

publisher = "Publ by IEEE",

pages = "329",

booktitle = "Proceedings of the 1993 IEEE International Symposium on Information Theory",

note = "Proceedings of the 1993 IEEE International Symposium on Information Theory ; Conference date: 17-01-1993 Through 22-01-1993",

}

On sampling theorem, wavelets and wavelet transforms. / Xia, Xiang Gen; Zhang, Zhen.
Proceedings of the 1993 IEEE International Symposium on Information Theory. Publ by IEEE, 1993. p. 329 (Proceedings of the 1993 IEEE International Symposium on Information Theory).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Zhang, Zhen

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AB - The classical Shannon sampling theorem has many applications and generalizations. From wavelet transform point of view, it provides the sinc wavelets. Recently it has also been extended to general wavelet subspaces by G. G. Walter (1992). A cardinal scaling function is analyzed. The wavelet generated from cardinal scaling functions are called cardinal wavelets. A pertinent analysis is included.

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T3 - Proceedings of the 1993 IEEE International Symposium on Information Theory

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BT - Proceedings of the 1993 IEEE International Symposium on Information Theory

PB - Publ by IEEE

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ER -

On sampling theorem, wavelets and wavelet transforms

Abstract

Publication series

Conference

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