Synchronization of OFDM at low SNR over an AWGN channel

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Abstract

This paper is based on Extended Symbol OFDM (ES-OFDM) where symbols are extended in time. This way ES-OFDM can operate at low SNR. Each doubling of the symbol length improves the SNR performance by 3 dB in case of a coherent receiver. One of the basic questions is how to synchronize to signals far below the noise floor. An algorithm is presented which is based on the transmission of pilot symbols. At the receiver, the received signal is cross correlated with the known pilot symbol and the maximum magnitude is determined. The position of the maximum value within the cross correlation function indicates the time difference between transmitter and receiver. The performance of the algorithm in case of an Additive White Gaussian Noise (AWGN) channel, is assessed based on a theoretical approximation of the probability of correct detection of the time difference. The theoretical approximation matches with simulation results and shows that synchronization can be achieved for low (negative) SNRs.
Original languageUndefined
Title of host publicationProceedings of the 3rd Wireless World Workshop (W3)
EditorsD.C. Dimitrova, K.C.H. Blom, Nirvana Meratnia
Place of PublicationEnschede, the Netherlands
PublisherCentre for Telematics and Information Technology (CTIT)
Pages1-10
Number of pages10
Publication statusPublished - 27 Sep 2011
Event3rd Wireless World Workshop, W3 2011 - Enschede, Netherlands
Duration: 27 Sep 201127 Sep 2011
Conference number: 3

Publication series

NameCTIT workshop proceedings series
PublisherCTIT
VolumeWP 11-05
ISSN (Print)0929-0672
ISSN (Electronic)0929-0672

Workshop

Workshop3rd Wireless World Workshop, W3 2011
Abbreviated titleW3 2011
CountryNetherlands
CityEnschede
Period27/09/1127/09/11

Keywords

  • METIS-284947
  • Differential phase shift keying
  • Frequency division multiplexing
  • EWI-21130
  • Modulation
  • IR-79128
  • Correlation
  • Fourier transforms

Cite this

Kokkeler, A. B. J., & Smit, G. J. M. (2011). Synchronization of OFDM at low SNR over an AWGN channel. In D. C. Dimitrova, K. C. H. Blom, & N. Meratnia (Eds.), Proceedings of the 3rd Wireless World Workshop (W3) (pp. 1-10). (CTIT workshop proceedings series; Vol. WP 11-05). Enschede, the Netherlands: Centre for Telematics and Information Technology (CTIT).
Kokkeler, Andre B.J. ; Smit, Gerardus Johannes Maria. / Synchronization of OFDM at low SNR over an AWGN channel. Proceedings of the 3rd Wireless World Workshop (W3). editor / D.C. Dimitrova ; K.C.H. Blom ; Nirvana Meratnia. Enschede, the Netherlands : Centre for Telematics and Information Technology (CTIT), 2011. pp. 1-10 (CTIT workshop proceedings series).
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title = "Synchronization of OFDM at low SNR over an AWGN channel",
abstract = "This paper is based on Extended Symbol OFDM (ES-OFDM) where symbols are extended in time. This way ES-OFDM can operate at low SNR. Each doubling of the symbol length improves the SNR performance by 3 dB in case of a coherent receiver. One of the basic questions is how to synchronize to signals far below the noise floor. An algorithm is presented which is based on the transmission of pilot symbols. At the receiver, the received signal is cross correlated with the known pilot symbol and the maximum magnitude is determined. The position of the maximum value within the cross correlation function indicates the time difference between transmitter and receiver. The performance of the algorithm in case of an Additive White Gaussian Noise (AWGN) channel, is assessed based on a theoretical approximation of the probability of correct detection of the time difference. The theoretical approximation matches with simulation results and shows that synchronization can be achieved for low (negative) SNRs.",
keywords = "METIS-284947, Differential phase shift keying, Frequency division multiplexing, EWI-21130, Modulation, IR-79128, Correlation, Fourier transforms",
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Kokkeler, ABJ & Smit, GJM 2011, Synchronization of OFDM at low SNR over an AWGN channel. in DC Dimitrova, KCH Blom & N Meratnia (eds), Proceedings of the 3rd Wireless World Workshop (W3). CTIT workshop proceedings series, vol. WP 11-05, Centre for Telematics and Information Technology (CTIT), Enschede, the Netherlands, pp. 1-10, 3rd Wireless World Workshop, W3 2011, Enschede, Netherlands, 27/09/11.

Synchronization of OFDM at low SNR over an AWGN channel. / Kokkeler, Andre B.J.; Smit, Gerardus Johannes Maria.

Proceedings of the 3rd Wireless World Workshop (W3). ed. / D.C. Dimitrova; K.C.H. Blom; Nirvana Meratnia. Enschede, the Netherlands : Centre for Telematics and Information Technology (CTIT), 2011. p. 1-10 (CTIT workshop proceedings series; Vol. WP 11-05).

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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T1 - Synchronization of OFDM at low SNR over an AWGN channel

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AU - Smit, Gerardus Johannes Maria

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N2 - This paper is based on Extended Symbol OFDM (ES-OFDM) where symbols are extended in time. This way ES-OFDM can operate at low SNR. Each doubling of the symbol length improves the SNR performance by 3 dB in case of a coherent receiver. One of the basic questions is how to synchronize to signals far below the noise floor. An algorithm is presented which is based on the transmission of pilot symbols. At the receiver, the received signal is cross correlated with the known pilot symbol and the maximum magnitude is determined. The position of the maximum value within the cross correlation function indicates the time difference between transmitter and receiver. The performance of the algorithm in case of an Additive White Gaussian Noise (AWGN) channel, is assessed based on a theoretical approximation of the probability of correct detection of the time difference. The theoretical approximation matches with simulation results and shows that synchronization can be achieved for low (negative) SNRs.

AB - This paper is based on Extended Symbol OFDM (ES-OFDM) where symbols are extended in time. This way ES-OFDM can operate at low SNR. Each doubling of the symbol length improves the SNR performance by 3 dB in case of a coherent receiver. One of the basic questions is how to synchronize to signals far below the noise floor. An algorithm is presented which is based on the transmission of pilot symbols. At the receiver, the received signal is cross correlated with the known pilot symbol and the maximum magnitude is determined. The position of the maximum value within the cross correlation function indicates the time difference between transmitter and receiver. The performance of the algorithm in case of an Additive White Gaussian Noise (AWGN) channel, is assessed based on a theoretical approximation of the probability of correct detection of the time difference. The theoretical approximation matches with simulation results and shows that synchronization can be achieved for low (negative) SNRs.

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KW - EWI-21130

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KW - Correlation

KW - Fourier transforms

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Kokkeler ABJ, Smit GJM. Synchronization of OFDM at low SNR over an AWGN channel. In Dimitrova DC, Blom KCH, Meratnia N, editors, Proceedings of the 3rd Wireless World Workshop (W3). Enschede, the Netherlands: Centre for Telematics and Information Technology (CTIT). 2011. p. 1-10. (CTIT workshop proceedings series).