Synchronization and matched filtering in time-frequency using the sunflower spiral

C. Willem Korevaar; André B.J. Kokkeler; Pieter-Tjerk de Boer; Gerard J.M. Smit

doi:10.1109/GLOCOM.2012.6503735

Synchronization and matched filtering in time-frequency using the sunflower spiral

C. Willem Korevaar, André B.J. Kokkeler, Pieter-Tjerk de Boer, Gerard J.M. Smit

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

3 Citations (Scopus)

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Abstract

Synchronization and matched filtering of signals in time dispersive, frequency dispersive and time-frequency dispersive channels are addressed in this paper. The ‘eigenfunctions’ of these channels form the signal sets under investigation. While using channel-eigenfunctions is a first requirement for undistorted data transmission, a second necessity is to achieve good synchronization over the domains of time and frequency. The synchronization problem in time-frequency for non-stationary signals is discussed. A spiral correlation method is proposed to achieve synchronization and matched filtering in time-frequency. Spiral correlation, using the pattern of a sunflower, is simulated and evaluated. It is argued that partial spiral correlation can lead to a significant reduction in computational complexity necessary for synchronization. Generalizations and identities based on the fractional Fourier transform are provided which omit the need for fractional delay filters.

Original language	English
Title of host publication	Proceedings of the IEEE Global Communications Conference, GLOBECOM 2012
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	3959 -3964
Number of pages	6
ISBN (Electronic)	978-1-4673-0921-9
ISBN (Print)	978-1-4673-0920-2, 978-1-4673-0919-6
DOIs	https://doi.org/10.1109/GLOCOM.2012.6503735
Publication status	Published - 3 Dec 2012
Event	2012 IEEE Global Communications Conference, GLOBECOM 2012: The Magic of Global Connectivity - Anaheim, United States Duration: 3 Dec 2012 → 7 Dec 2012 http://globecom2012.ieee-globecom.org/

Publication series

Name	Proceedings IEEE Global Communications Conference (GLOBECOM)
Publisher	IEEE Communications Society
Volume	2012
ISSN (Print)	1930-529X

Conference

Conference	2012 IEEE Global Communications Conference, GLOBECOM 2012
Abbreviated title	GLOBECOM
Country/Territory	United States
City	Anaheim
Period	3/12/12 → 7/12/12
Internet address	http://globecom2012.ieee-globecom.org/

Keywords

2025 OA procedure
Time-frequency
Multi-carrier
Hermite
Matched filter
Communications
Synchronization

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10.1109/GLOCOM.2012.6503735

ArticleFinal published version, 1.26 MBLicence: Taverne

Cite this

Korevaar, C. W., Kokkeler, A. B. J., de Boer, P.-T., & Smit, G. J. M. (2012). Synchronization and matched filtering in time-frequency using the sunflower spiral. In Proceedings of the IEEE Global Communications Conference, GLOBECOM 2012 (pp. 3959 -3964). (Proceedings IEEE Global Communications Conference (GLOBECOM); Vol. 2012). IEEE. https://doi.org/10.1109/GLOCOM.2012.6503735

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abstract = "Synchronization and matched filtering of signals in time dispersive, frequency dispersive and time-frequency dispersive channels are addressed in this paper. The {\textquoteleft}eigenfunctions{\textquoteright} of these channels form the signal sets under investigation. While using channel-eigenfunctions is a first requirement for undistorted data transmission, a second necessity is to achieve good synchronization over the domains of time and frequency. The synchronization problem in time-frequency for non-stationary signals is discussed. A spiral correlation method is proposed to achieve synchronization and matched filtering in time-frequency. Spiral correlation, using the pattern of a sunflower, is simulated and evaluated. It is argued that partial spiral correlation can lead to a significant reduction in computational complexity necessary for synchronization. Generalizations and identities based on the fractional Fourier transform are provided which omit the need for fractional delay filters.",

keywords = "2025 OA procedure, Time-frequency, Multi-carrier, Hermite, Matched filter, Communications, Synchronization",

author = "Korevaar, {C. Willem} and Kokkeler, {Andr{\'e} B.J.} and {de Boer}, Pieter-Tjerk and Smit, {Gerard J.M.}",

year = "2012",

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series = "Proceedings IEEE Global Communications Conference (GLOBECOM)",

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booktitle = "Proceedings of the IEEE Global Communications Conference, GLOBECOM 2012",

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note = "2012 IEEE Global Communications Conference, GLOBECOM 2012 : The Magic of Global Connectivity, GLOBECOM ; Conference date: 03-12-2012 Through 07-12-2012",

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Korevaar, CW, Kokkeler, ABJ , de Boer, P-T & Smit, GJM 2012, Synchronization and matched filtering in time-frequency using the sunflower spiral. in Proceedings of the IEEE Global Communications Conference, GLOBECOM 2012. Proceedings IEEE Global Communications Conference (GLOBECOM), vol. 2012, IEEE, Piscataway, NJ, pp. 3959 -3964, 2012 IEEE Global Communications Conference, GLOBECOM 2012, Anaheim, California, United States, 3/12/12. https://doi.org/10.1109/GLOCOM.2012.6503735

Synchronization and matched filtering in time-frequency using the sunflower spiral. / Korevaar, C. Willem; Kokkeler, André B.J.; de Boer, Pieter-Tjerk et al.
Proceedings of the IEEE Global Communications Conference, GLOBECOM 2012. Piscataway, NJ: IEEE, 2012. p. 3959 -3964 (Proceedings IEEE Global Communications Conference (GLOBECOM); Vol. 2012).

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

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T1 - Synchronization and matched filtering in time-frequency using the sunflower spiral

AU - Korevaar, C. Willem

AU - Kokkeler, André B.J.

AU - de Boer, Pieter-Tjerk

AU - Smit, Gerard J.M.

PY - 2012/12/3

Y1 - 2012/12/3

N2 - Synchronization and matched filtering of signals in time dispersive, frequency dispersive and time-frequency dispersive channels are addressed in this paper. The ‘eigenfunctions’ of these channels form the signal sets under investigation. While using channel-eigenfunctions is a first requirement for undistorted data transmission, a second necessity is to achieve good synchronization over the domains of time and frequency. The synchronization problem in time-frequency for non-stationary signals is discussed. A spiral correlation method is proposed to achieve synchronization and matched filtering in time-frequency. Spiral correlation, using the pattern of a sunflower, is simulated and evaluated. It is argued that partial spiral correlation can lead to a significant reduction in computational complexity necessary for synchronization. Generalizations and identities based on the fractional Fourier transform are provided which omit the need for fractional delay filters.

AB - Synchronization and matched filtering of signals in time dispersive, frequency dispersive and time-frequency dispersive channels are addressed in this paper. The ‘eigenfunctions’ of these channels form the signal sets under investigation. While using channel-eigenfunctions is a first requirement for undistorted data transmission, a second necessity is to achieve good synchronization over the domains of time and frequency. The synchronization problem in time-frequency for non-stationary signals is discussed. A spiral correlation method is proposed to achieve synchronization and matched filtering in time-frequency. Spiral correlation, using the pattern of a sunflower, is simulated and evaluated. It is argued that partial spiral correlation can lead to a significant reduction in computational complexity necessary for synchronization. Generalizations and identities based on the fractional Fourier transform are provided which omit the need for fractional delay filters.

KW - 2025 OA procedure

KW - Time-frequency

KW - Multi-carrier

KW - Hermite

KW - Matched filter

KW - Communications

KW - Synchronization

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SN - 978-1-4673-0919-6

T3 - Proceedings IEEE Global Communications Conference (GLOBECOM)

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BT - Proceedings of the IEEE Global Communications Conference, GLOBECOM 2012

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CY - Piscataway, NJ

T2 - 2012 IEEE Global Communications Conference, GLOBECOM 2012

Y2 - 3 December 2012 through 7 December 2012

ER -

Synchronization and matched filtering in time-frequency using the sunflower spiral

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