Construction of local bases

B.E. Sarroukh; A.C. Brinker, den; S.J.L. Eijndhoven, van

doi:10.1109/TFSA.1998.721392

Construction of local bases

B.E. Sarroukh, A.C. Brinker, den, S.J.L. Eijndhoven, van

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

Abstract

A local signal analysis represents the properties of a signal on selected bounded domains. In the one-dimensional case, the local signal analysis can be based on orthogonal projections which are related to the subdivision into intervals. The multidimensional situation is more difficult to analyze. Some ideas of how to transfer the one-dimensional case to the multidimensional one are considered, replacing intervals by polytopes. As an example, the hexagonal subdivision of the two-dimensional space is treated.

Original language	English
Title of host publication	Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	185-188
Number of pages	4
ISBN (Print)	0-7803-5073-1
DOIs	https://doi.org/10.1109/TFSA.1998.721392
Publication status	Published - 1998
Event	conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09 - Duration: 6 Oct 1998 → 9 Oct 1998

Conference

Conference	conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09
Period	6/10/98 → 9/10/98

Access to Document

10.1109/TFSA.1998.721392

Cite this

@inproceedings{8d12bb8cd85b4bbc80dbdb1f7bdc9c69,

title = "Construction of local bases",

abstract = "A local signal analysis represents the properties of a signal on selected bounded domains. In the one-dimensional case, the local signal analysis can be based on orthogonal projections which are related to the subdivision into intervals. The multidimensional situation is more difficult to analyze. Some ideas of how to transfer the one-dimensional case to the multidimensional one are considered, replacing intervals by polytopes. As an example, the hexagonal subdivision of the two-dimensional space is treated.",

author = "B.E. Sarroukh and {Brinker, den}, A.C. and {Eijndhoven, van}, S.J.L.",

year = "1998",

doi = "10.1109/TFSA.1998.721392",

language = "English",

isbn = "0-7803-5073-1",

pages = "185--188",

booktitle = "Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09 ; Conference date: 06-10-1998 Through 09-10-1998",

}

Sarroukh, BE, Brinker, den, AC & Eijndhoven, van, SJL 1998, Construction of local bases. in Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis., 721392, Institute of Electrical and Electronics Engineers, Piscataway, pp. 185-188, conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09, 6/10/98. https://doi.org/10.1109/TFSA.1998.721392

Construction of local bases. / Sarroukh, B.E.; Brinker, den, A.C.; Eijndhoven, van, S.J.L.

Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis. Piscataway : Institute of Electrical and Electronics Engineers, 1998. p. 185-188 721392.

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

TY - GEN

T1 - Construction of local bases

AU - Sarroukh, B.E.

AU - Brinker, den, A.C.

AU - Eijndhoven, van, S.J.L.

PY - 1998

Y1 - 1998

N2 - A local signal analysis represents the properties of a signal on selected bounded domains. In the one-dimensional case, the local signal analysis can be based on orthogonal projections which are related to the subdivision into intervals. The multidimensional situation is more difficult to analyze. Some ideas of how to transfer the one-dimensional case to the multidimensional one are considered, replacing intervals by polytopes. As an example, the hexagonal subdivision of the two-dimensional space is treated.

AB - A local signal analysis represents the properties of a signal on selected bounded domains. In the one-dimensional case, the local signal analysis can be based on orthogonal projections which are related to the subdivision into intervals. The multidimensional situation is more difficult to analyze. Some ideas of how to transfer the one-dimensional case to the multidimensional one are considered, replacing intervals by polytopes. As an example, the hexagonal subdivision of the two-dimensional space is treated.

U2 - 10.1109/TFSA.1998.721392

DO - 10.1109/TFSA.1998.721392

M3 - Conference contribution

SN - 0-7803-5073-1

SP - 185

EP - 188

BT - Proceedings of the IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis

PB - Institute of Electrical and Electronics Engineers

CY - Piscataway

T2 - conference; Proc. IEEE-SP International Symposium on Time-Frequency and Time-Scale Analysis, Pittsburgh, PA, 6-9 October 1998; 1998-10-06; 1998-10-09

Y2 - 6 October 1998 through 9 October 1998

ER -

Construction of local bases

Abstract

Conference

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