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Optimal pilot design for OFDM systems with non-contiguous subcarriers based on semi-definite programming

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Abstract

In this paper we consider OFDM systems with non-contiguous subcarriers where distributed spectrum fragments are applicable for transmission. A new model is proposed for pilot optimization with respect to location and power. The least-square approach is applied for channel estimation at the receiver and the optimization objective is to minimize the mean square error of the channel estimation. This optimization problem is then formulated as minimizing the spread of the eigenvalues of a positive semidefinite matrix, which is a typical semidefinite programming problem, and hence it can be solved with conventional interior-point method. Simulation results show the efficiency of the proposed algorithm.

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Acknowledgments

This work is supported by the National High-tech program (No. SS2015AA011307), the National Natural Science Foundation of China (Nos. 61171083, 61322108, 61431005, 61372083), the Key Grant Project of Chinese Ministry of Education (No. 313021) and the NCET program (No. NCET-12-0196). Ting Chen: All authors claim that he should be considered co-first author.

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Authors and Affiliations

  1. The Information Network Engineering and Research Center, South China University of Technology, Guangdong, China

    Weiqiang Pan

  2. The School of Computer Science, South China Normal University, Guangdong, China

    Zhilong Shan

  3. The Information Department, Cancer Hospital of Shantou University Medical College, Shantou, 515031, China

    Ting Chen

  4. The School of Electronics and Information Engineering, South China University of Technology, Guangdong, China

    Fangjiong Chen & Jing Feng

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  1. Weiqiang Pan
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  2. Zhilong Shan
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Correspondence to Zhilong Shan.

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Pan, W., Shan, Z., Chen, T. et al. Optimal pilot design for OFDM systems with non-contiguous subcarriers based on semi-definite programming. Telecommun Syst 63, 297–305 (2016). https://doi.org/10.1007/s11235-015-0121-7

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  • DOI: https://doi.org/10.1007/s11235-015-0121-7

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