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The Cramer-Rao Bound for channel estimation in block fading amplify-and-forward relaying networks

Nico Aerts (UGent) , Iancu Avram (UGent) and Marc Moeneclaey (UGent)
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Abstract
In this paper, we express the Cramer-Rao Bound (CRB) for channel coefficient and noise variance estimation at the destination of an Amplify-and- Forward (AF) based cooperative system, in terms of the a posteriori expectation of the codewords. An algorithm based on factor graphs can be applied in order to calculate this expectation. As the computation of the CRB is rather intensive, the modified CRB (MCRB), which is a looser bound, is derived in closed form. It can be shown that the MCRB coincides with the CRB in the high signal-to-noise ratio (SNR) limit and to that end the CRB/MCRB ratio is simulated in case of uncoded and convolutional encoded transmission.
Keywords
Amplify-and-Forward, Cramer-Rao Bound, modified CRB, cooperative communication

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MLA
Aerts, Nico, Iancu Avram, and Marc Moeneclaey. “The Cramer-Rao Bound for Channel Estimation in Block Fading Amplify-and-forward Relaying Networks.” Ieee International Symposium on Spread Spectrum Techniques and Applications Proceedings. New York, NY, USA: IEEE, 2010. 12–16. Print.
APA
Aerts, N., Avram, I., & Moeneclaey, M. (2010). The Cramer-Rao Bound for channel estimation in block fading amplify-and-forward relaying networks. IEEE INTERNATIONAL SYMPOSIUM ON SPREAD SPECTRUM TECHNIQUES AND APPLICATIONS PROCEEDINGS (pp. 12–16). Presented at the 2010 IEEE 11th International symposium on Spread Spectrum Techniques and Applications (ISSSTA 2010), New York, NY, USA: IEEE.
Chicago author-date
Aerts, Nico, Iancu Avram, and Marc Moeneclaey. 2010. “The Cramer-Rao Bound for Channel Estimation in Block Fading Amplify-and-forward Relaying Networks.” In Ieee International Symposium on Spread Spectrum Techniques and Applications Proceedings, 12–16. New York, NY, USA: IEEE.
Chicago author-date (all authors)
Aerts, Nico, Iancu Avram, and Marc Moeneclaey. 2010. “The Cramer-Rao Bound for Channel Estimation in Block Fading Amplify-and-forward Relaying Networks.” In Ieee International Symposium on Spread Spectrum Techniques and Applications Proceedings, 12–16. New York, NY, USA: IEEE.
Vancouver
1.
Aerts N, Avram I, Moeneclaey M. The Cramer-Rao Bound for channel estimation in block fading amplify-and-forward relaying networks. IEEE INTERNATIONAL SYMPOSIUM ON SPREAD SPECTRUM TECHNIQUES AND APPLICATIONS PROCEEDINGS. New York, NY, USA: IEEE; 2010. p. 12–6.
IEEE
[1]
N. Aerts, I. Avram, and M. Moeneclaey, “The Cramer-Rao Bound for channel estimation in block fading amplify-and-forward relaying networks,” in IEEE INTERNATIONAL SYMPOSIUM ON SPREAD SPECTRUM TECHNIQUES AND APPLICATIONS PROCEEDINGS, Taichung, Taiwan, 2010, pp. 12–16.
@inproceedings{1091020,
  abstract     = {In this paper, we express the Cramer-Rao Bound (CRB) for channel coefficient and noise variance estimation at the destination of an Amplify-and- Forward (AF) based cooperative system, in terms of the a posteriori expectation of the codewords. An algorithm based on factor graphs can be applied in order to calculate this expectation. As the computation of the CRB is rather intensive, the modified CRB (MCRB), which is a looser bound, is derived in closed form. It can be shown that the MCRB coincides with the CRB in the high signal-to-noise ratio (SNR) limit and to that end the CRB/MCRB ratio is simulated in case of uncoded and convolutional encoded transmission.},
  author       = {Aerts, Nico and Avram, Iancu and Moeneclaey, Marc},
  booktitle    = {IEEE INTERNATIONAL SYMPOSIUM ON SPREAD SPECTRUM TECHNIQUES AND APPLICATIONS PROCEEDINGS},
  isbn         = {9781424460144},
  issn         = {1943-7439},
  keywords     = {Amplify-and-Forward,Cramer-Rao Bound,modified CRB,cooperative communication},
  language     = {eng},
  location     = {Taichung, Taiwan},
  pages        = {12--16},
  publisher    = {IEEE},
  title        = {The Cramer-Rao Bound for channel estimation in block fading amplify-and-forward relaying networks},
  url          = {http://dx.doi.org/10.1109/ISSSTA.2010.5651393},
  year         = {2010},
}

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