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)

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	2012 IEEE Global Communications Conference, GLOBECOM 2012
Publisher	Institute of Electrical and Electronics Engineers
Pages	3959-3964
Number of pages	6
ISBN (Print)	978-1-4673-0921-9
DOIs	https://doi.org/10.1109/GLOCOM.2012.6503735
Publication status	Published - 22 Apr 2013
Externally published	Yes
Event	2012 IEEE Global Communications Conference (GLOBECOM 2012) - Anaheim, United States Duration: 3 Dec 2012 → 7 Dec 2012

Conference

Conference	2012 IEEE Global Communications Conference (GLOBECOM 2012)
Abbreviated title	GLOBECOM 2012
Country/Territory	United States
City	Anaheim
Period	3/12/12 → 7/12/12

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10.1109/GLOCOM.2012.6503735

Cite this

@inproceedings{931f29ba2cf549f08edf8b9de7c3a4bc,

title = "Synchronization and matched filtering in time-frequency using the sunflower spiral",

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.",

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

year = "2013",

month = apr,

day = "22",

doi = "10.1109/GLOCOM.2012.6503735",

language = "English",

isbn = "978-1-4673-0921-9",

pages = "3959--3964",

booktitle = "2012 IEEE Global Communications Conference, GLOBECOM 2012",

publisher = "Institute of Electrical and Electronics Engineers",

address = "United States",

note = "2012 IEEE Global Communications Conference (GLOBECOM 2012), GLOBECOM 2012 ; Conference date: 03-12-2012 Through 07-12-2012",

}

Willem Korevaar, C, Kokkeler, ABJ, de Boer, PT & Smit, GJM 2013, Synchronization and matched filtering in time-frequency using the sunflower spiral. in 2012 IEEE Global Communications Conference, GLOBECOM 2012., 6503735, Institute of Electrical and Electronics Engineers, 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. / Willem Korevaar, C.; Kokkeler, André B.J.; de Boer, Pieter Tjerk et al.
2012 IEEE Global Communications Conference, GLOBECOM 2012. Institute of Electrical and Electronics Engineers, 2013. p. 3959-3964 6503735.

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

TY - GEN

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

AU - Willem Korevaar, C.

AU - Kokkeler, André B.J.

AU - de Boer, Pieter Tjerk

AU - Smit, Gerard J.M.

PY - 2013/4/22

Y1 - 2013/4/22

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.

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U2 - 10.1109/GLOCOM.2012.6503735

DO - 10.1109/GLOCOM.2012.6503735

M3 - Conference contribution

AN - SCOPUS:84877657409

SN - 978-1-4673-0921-9

SP - 3959

EP - 3964

BT - 2012 IEEE Global Communications Conference, GLOBECOM 2012

PB - Institute of Electrical and Electronics Engineers

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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