Gabor's expansion of a signal into Gaussian elementary signals

M.J. Bastiaans

doi:10.1109/PROC.1980.11686

Gabor's expansion of a signal into Gaussian elementary signals

M.J. Bastiaans

Signal Processing Systems

Research output: Contribution to journal › Article › Academic › peer-review

249 Citations (Scopus)

6 Downloads (Pure)

Abstract

It is proved that Gabor's expansion of a signal into a discrete set of Gaussian elementary signals exists. An expansion into another discrete set of functions is defined, which functions are biorthonormal, to the Gaussian elementary signals. Hence, the expansion coefficients of the two expansions can be determined easily.

Original language	English
Pages (from-to)	538-539
Number of pages	2
Journal	Proceedings of the IEEE
Volume	68
Issue number	4
DOIs	https://doi.org/10.1109/PROC.1980.11686
Publication status	Published - 1980

Access to Document

10.1109/PROC.1980.11686

Cite this

@article{befe1f0ee1534970a465a28e36bf3aa4,

title = "Gabor's expansion of a signal into Gaussian elementary signals",

abstract = "It is proved that Gabor's expansion of a signal into a discrete set of Gaussian elementary signals exists. An expansion into another discrete set of functions is defined, which functions are biorthonormal, to the Gaussian elementary signals. Hence, the expansion coefficients of the two expansions can be determined easily.",

author = "M.J. Bastiaans",

year = "1980",

doi = "10.1109/PROC.1980.11686",

language = "English",

volume = "68",

pages = "538--539",

journal = "Proceedings of the IEEE",

issn = "0018-9219",

publisher = "Institute of Electrical and Electronics Engineers",

number = "4",

}

TY - JOUR

T1 - Gabor's expansion of a signal into Gaussian elementary signals

AU - Bastiaans, M.J.

PY - 1980

Y1 - 1980

N2 - It is proved that Gabor's expansion of a signal into a discrete set of Gaussian elementary signals exists. An expansion into another discrete set of functions is defined, which functions are biorthonormal, to the Gaussian elementary signals. Hence, the expansion coefficients of the two expansions can be determined easily.

AB - It is proved that Gabor's expansion of a signal into a discrete set of Gaussian elementary signals exists. An expansion into another discrete set of functions is defined, which functions are biorthonormal, to the Gaussian elementary signals. Hence, the expansion coefficients of the two expansions can be determined easily.

U2 - 10.1109/PROC.1980.11686

DO - 10.1109/PROC.1980.11686

M3 - Article

SN - 0018-9219

VL - 68

SP - 538

EP - 539

JO - Proceedings of the IEEE

JF - Proceedings of the IEEE

IS - 4

ER -

Gabor's expansion of a signal into Gaussian elementary signals

Abstract

Access to Document

Fingerprint

Cite this