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Multi-band Strategy for Cooperative Communication Networking with Unmatched Carrier Frequencies

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Abstract

In this paper, we consider the cooperative networking with the presence of multiple carrier frequency offsets at different relays, which is difficult to be handled. Such an imperfect networking is inevitable due to the distributed nature of the relay system and unmatched central frequencies at different relays. We propose a multi-band scheme for cooperative communications and provide theoretical analysis of the proposed cooperative networking based on the analytical upper bound of the channel orthogonality deficiency. Theoretical analysis and simulation results show that the proposed scheme achieves the full cooperative diversity and improves the system capacity, only adopting linear equalizers such as zero-forcing and minimum mean square error equalizers. Such advatange is normlly only enjoyed by a non-linear equalizers like maximum-likelihood equalizer, whose huge complexity is however usually unacceptable.

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Notes

  1. If the channel matrix of the MIMO users is an \(m\) by \(n\hbox { matrix }{\mathbb H}\), Full rank means that the minimum number of independent rows and column of \({\mathbb H}\), i.e., \(\hbox {rank}\left( {\mathbb H} \right) =\min \left( {m,n} \right) \).

  2. The threshold is \({\left( {\hbox {2}^{B}-1} \right) }/{h_{S,Q_r } }\); where \(B\) is the target rate and \(h_{S,Q_r } \) denotes the power gain from source to relay \(Q_r \).

  3. A QR decomposition (also called a QR factorization) of a matrix is a decomposition of a matrix A into a product A = QR of an orthogonal matrix Q and an upper triangular matrix R.

  4. \(O\left( \cdot \right) \), the Landau notation describes the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions.

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Acknowledgments

This work is performed in part at Tianjin 712 Communication & Broadcasting Corp under the University–Enterprise Joint Postdoctoral program between Tsinghua University and Tianjin Zhonghuan Electronic & Information (Group) Co., Ltd. and supported in part by National Natural Science Foundation of China (NSFC, Project 61302140).

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Authors and Affiliations

  1. National University of Defence Technology, Changsha, 410073, China

    Yongfeng Guan

  2. Tianjin 712 Communication & Broadcasting Corp, Tianjin, China

    Tao Xu

  3. Tsinghua University, Beijing, China

    Tao Xu

  4. China Defense Science and Technology Information Center, Beijing, 100142, China

    Wei Ding

  5. Delft University of Technology, 2628 CD, Delft, The Netherlands

    Hao Lu

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  1. Yongfeng Guan
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  2. Tao Xu
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  3. Wei Ding
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  4. Hao Lu
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Correspondence to Tao Xu.

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Guan, Y., Xu, T., Ding, W. et al. Multi-band Strategy for Cooperative Communication Networking with Unmatched Carrier Frequencies. Wireless Pers Commun 80, 1159–1173 (2015). https://doi.org/10.1007/s11277-014-2078-3

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