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Lower bounds on the estimation performance in low complexity quantize-and-forward cooperative systems

Iancu Avram (UGent) , Nico Aerts (UGent) and Marc Moeneclaey (UGent)
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Abstract
Cooperative communication can effectively mitigate the effects of multipath propagation fading by using relay channels to provide spatial diversity. A relaying scheme suitable for half-duplex devices is the quantize-and-forward (QF) protocol, in which the information received from the source is quantized at the relay before being forwarded to the destination. In this contribution, the Cramer-Rao bound (CRB) is obtained for the case where all channel parameters in a QF system are estimated at the destination. The CRB is a lower bound (LB) on the mean square estimation error (MSEE) of an unbiased estimate and can thus be used to benchmark practical estimation algorithms. Additionally, the modified Cramer-Rao bound (MCRB) is also presented, which is a looser but computationally less complex bound. An importance sampling technique is developed to speed up the computation of the MCRBs, and the MSEE performance of a practical estimation algorithm is compared with the (M)CRBs. We point out that the parameters of the source-destination and relay-destination channels can be accurately estimated but that inevitably the source-relay channel estimate is poor when the instantaneous SNR on the relay-destination channel is low; however, in this case, the decoder performance is not affected by the inaccurate source-relay channel estimate.
Keywords
Cramer-Rao bound, Cooperative communication, Modified Cramer-Rao bound, 2-WAY RELAY NETWORKS, CHANNEL ESTIMATION, Estimation, WIRELESS NETWORKS, DIVERSITY, CAPACITY

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MLA
Avram, Iancu, Nico Aerts, and Marc Moeneclaey. “Lower Bounds on the Estimation Performance in Low Complexity Quantize-and-forward Cooperative Systems.” EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING (2015): n. pag. Print.
APA
Avram, I., Aerts, N., & Moeneclaey, M. (2015). Lower bounds on the estimation performance in low complexity quantize-and-forward cooperative systems. EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING.
Chicago author-date
Avram, Iancu, Nico Aerts, and Marc Moeneclaey. 2015. “Lower Bounds on the Estimation Performance in Low Complexity Quantize-and-forward Cooperative Systems.” Eurasip Journal on Wireless Communications and Networking.
Chicago author-date (all authors)
Avram, Iancu, Nico Aerts, and Marc Moeneclaey. 2015. “Lower Bounds on the Estimation Performance in Low Complexity Quantize-and-forward Cooperative Systems.” Eurasip Journal on Wireless Communications and Networking.
Vancouver
1.
Avram I, Aerts N, Moeneclaey M. Lower bounds on the estimation performance in low complexity quantize-and-forward cooperative systems. EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG; 2015;
IEEE
[1]
I. Avram, N. Aerts, and M. Moeneclaey, “Lower bounds on the estimation performance in low complexity quantize-and-forward cooperative systems,” EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING, 2015.
@article{7007149,
  abstract     = {Cooperative communication can effectively mitigate the effects of multipath propagation fading by using relay channels to provide spatial diversity. A relaying scheme suitable for half-duplex devices is the quantize-and-forward (QF) protocol, in which the information received from the source is quantized at the relay before being forwarded to the destination. In this contribution, the Cramer-Rao bound (CRB) is obtained for the case where all channel parameters in a QF system are estimated at the destination. The CRB is a lower bound (LB) on the mean square estimation error (MSEE) of an unbiased estimate and can thus be used to benchmark practical estimation algorithms. Additionally, the modified Cramer-Rao bound (MCRB) is also presented, which is a looser but computationally less complex bound. An importance sampling technique is developed to speed up the computation of the MCRBs, and the MSEE performance of a practical estimation algorithm is compared with the (M)CRBs. We point out that the parameters of the source-destination and relay-destination channels can be accurately estimated but that inevitably the source-relay channel estimate is poor when the instantaneous SNR on the relay-destination channel is low; however, in this case, the decoder performance is not affected by the inaccurate source-relay channel estimate.},
  articleno    = {231},
  author       = {Avram, Iancu and Aerts, Nico and Moeneclaey, Marc},
  issn         = {1687-1499},
  journal      = {EURASIP JOURNAL ON WIRELESS COMMUNICATIONS AND NETWORKING},
  keywords     = {Cramer-Rao bound,Cooperative communication,Modified Cramer-Rao bound,2-WAY RELAY NETWORKS,CHANNEL ESTIMATION,Estimation,WIRELESS NETWORKS,DIVERSITY,CAPACITY},
  language     = {eng},
  pages        = {14},
  publisher    = {SPRINGER INTERNATIONAL PUBLISHING AG},
  title        = {Lower bounds on the estimation performance in low complexity quantize-and-forward cooperative systems},
  url          = {http://dx.doi.org/10.1186/s13638-015-0461-8},
  year         = {2015},
}

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