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Channel estimation of GFDM system based on pilot frequency in doubly selective channel

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Abstract

As the speed of the communication system increases, there exist two kinds of fading simultaneously in the wireless channels, namely time-frequency double-selective fading. In this case, delay expansion and doppler shift will affect the channel, resulting in inter-carrier interference and inter-symbol crosstalk, which will affect the channel estimation performance of generalized frequency division multiplexing communication technology. This paper first analyzes the effects of time-selective fading and frequency-selective fading on transmitted signals. Then, a complex exponential basis extension model (CE-BEM) suitable for dual selective channels was selected, and the mean square error (MSE) was used to evaluate the CE-BEM model. The function order Q of GFDM channel estimation simulation was determined by the relationship between the number of sampling points in the transmission block and different order functions. Finally, the least square (LS) channel estimation algorithm and the least mean square error (MMSE) are used to complete the channel estimation of the GFDM communication system. The performance of channel estimation is improved by changing the way of pilot insertion, and the performance of channel estimation is measured by mean square error (MSE) when the characteristics of pilot insertion are changed.

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References

  1. Michailow, N., et al. (2014). Generalized frequency division multiplexing for 5th generation cellular networks. IEEE Transactions on Communications, 62(9), 3045–3061.

    Article  Google Scholar 

  2. Matthe, M., Michailow, N., Gaspar, I., & Fettweis, G. (2014). Influence of pulse sha** on bit error rate performance and out of band radiation of Generalized Frequency Division Multiplexing. In 2014 ICC—2014 IEEE international conference on communication workshop (ICC). IEEE.

  3. Ferrante, G. C., Ostman, J., Durisi, G., & Kittichokechai, K. (2018). Pilot-assisted short-packet transmission over multiantenna fading channels: a 5G case study. https://doi.org/10.1109/CISS.2018.8362303

  4. Jiang, Q., Speidel, J., & Zhao, C. (2008). A joint OFDM channel estimation and ICI cancellation for double selective channels. Wireless Personal Communications, 46(4), 131.

    Article  Google Scholar 

  5. Nissel, R., Ademaj, F., & Rupp, M. (2018). Doubly-selective channel estimation in FBMC-OQAM and OFDM systems. In IEEE 88th vehicular technology conference (VTC2018-Fall). IEEE. https://doi.org/10.1109/vtcfall.2018.8690864

  6. Hua, J. Y., Xu, Z. J., Meng, L. M., & Li, G. (2010). A spectrum-efficient integer frequency offset estimator of mobile OFDM system in double selective channels. International Journal of Communication Systems, 23(8), 1041.

    Google Scholar 

  7. Chen, S., & Yao, T. (2004). Intercarrier interference suppression and channel estimation for OFDM systems in time-varying frequency-selective fading channels. IEEE Transactions on Consumer Electronics, 50(2), 429–435. https://doi.org/10.1109/TCE.2004.1309404

    Article  Google Scholar 

  8. Jeon, W. G., Chang, K. H., & Cho, Y. S. (1999). An equalization technique for orthogonal frequency division multiplexing systems in time-variant multipath channels. IEEE Transactions and Communications, 47, 27–32.

    Article  Google Scholar 

  9. Zhang, R., & Ai, B. (2017). A channel estimation method for OFDM based wireless communication system in high-speed environment. Wireless Personal Communications, 94(3), 909.

    Article  Google Scholar 

  10. Gharbi, O., Mhatli, S., Aissaoui, K., Aldalbahi, A., & Attia, R. (2019). Numerical investigation of long-haul coherent optical generalized frequency division multiplexing signal. Photonics Journal, 11(4), 1–14.

    Article  Google Scholar 

  11. Jeong, J., Park, Y., Weon, S., Kim, J., Choi, S., & Hong, D. (2018). Eigende composition-based GFDM for interference-free data transmission and pilot insertion for channel estimation. IEEE Transactions on Wireless Communications, 17(10), 6931–6943.

    Article  Google Scholar 

  12. Song, L., Lei, X., **, M., & Lv, Z. (2015). Joint channel estimation and signal detection for the OFDM system without cyclic prefix over doubly-selective channels. International Journal of Bifurcation and Chaos, 25(14), 1540028.

    Article  MathSciNet  MATH  Google Scholar 

  13. Dou, G., Zhang, X., He, C., & Gao, J. (2013). Doubly-selective channel estimation using superimposed training and weighted first-order statistics. Wireless Personal Communications, 73(3), 767.

    Article  Google Scholar 

  14. Song, L., Lei, X., Yu, F., & **, M. (2016). Optimal complex exponentials BEM and channel estimation in doubly selective channel. Chaos, Solitons & Fractals, 89, 465–473.

    Article  MATH  Google Scholar 

  15. Liao, Y., Sun, G., Shen, X., Zhang, S., Yang, X., Zhang, X., Yao, H., & Zhang, N. (2018). BEM-based channel estimation and interpolation methods for doubly-selective OFDM Channel (pp. 70–75).

  16. Ma, X., & Giannakis, G. (2003). Optimal training for block transmissions over doubly selective wireless fading channels. IEEE Transactions on Signal Processing., 51(5), 1351–1366.

    Article  MathSciNet  MATH  Google Scholar 

  17. Hulle, M., & Larsen, J. (2005). Neural networks in signal processing. Neurocomputing, 69(1–3), 1–2.

    Article  Google Scholar 

  18. Datta, R., Michailow, N., Lentmaier, M., & Fettweis, G. (2012). GFDM interference cancellation for flexible cognitive radio PHY design. In Vehicular technology conference (VTC Fall), 2012 IEEE. IEEE.

  19. Tang, Z., & Leus, G. (2007). Time-multiplexed training for time-selective channels. IEEE Signal Processing Letters, 14(9), 585–588.

    Article  Google Scholar 

  20. Li, F., Zheng, K., Long, H., & Guan, D. (2019). Performance analysis of complementary GFDM in IoT communications. In 2019 IEEE 89th vehicular technology conference (VTC2019-Spring). IEEE. https://doi.org/10.1109/vtcspring.2019.8746646

  21. Mohammadian, A., Mohammadi, A., Abdipour, A., & Baghani, M. (2021). Spectral analysis of GFDM modulated signal under nonlinear behavior of power amplifier. Springer.

    Book  Google Scholar 

  22. Cheng, H., **a, Y., Huang, Y., Yang, L., & Mandic, D. P. (2019). Joint channel estimation and Tx/Rx I/Q imbalance compensation for GFDM systems. IEEE Transactions on Wireless Communications, 18(2), 1304–1317. https://doi.org/10.1109/TWC.2019.2891649

    Article  Google Scholar 

  23. Anand, K., Guan, Y. L., Liu, X., Liu, Z., Yang, Y., Zhou, Z., Fan, P., & Gunawan, E. (2020). Pilot design for BEM-based channel estimation in doubly selective channel. IEEE Transactions on Vehicular Technology, 69, 1679–1694.

    Article  Google Scholar 

  24. Ehsanfar, S., Matthe, M., Dan, Z., & Fettweis, G. (2017). Interference-free Pilots insertion for MIMO-GFDM channel estimation. In: Wireless communications & networking conference. IEEE.

  25. Jiang, D. X., et al. CE-BEM Based Doubly Selective Channel Estimation and Equalization for MIMO-OFDM Transmission. In 2015 international conference on software, multimedia and communication engineering (SMCE 2015) 0.

  26. Ehsanfar, S., Matthe, M., Dan, Z., & Fettweis, G. (2016). A study of pilot-aided channel estimation in MIMO-GFDM systems. In VDE.

  27. Ehsanfar, S., Matthe, M., Dan, Z., & Fettweis, G. (2017). Theoretical analysis and CRLB evaluation for pilot-aided channel estimation in GFDM. In Global communications conference. IEEE.

  28. Whitworth, T., Ghogho, M., & McPherson, D. (2009). Optimized training and basis expansion model parameters for doubly-selective channel estimation. IEEE Transactions on Wireless Communications, 8(3), 1490–1498.

    Article  Google Scholar 

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Funding

Funding was provided by National Natural Science Foundation of China (Grant Number 62071167).

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Authors and Affiliations

  1. College of Combustion Engineering, Hebei Normal University, Shijiazhuang, 050000, China

    **nxin Tian, Chungang Liu, Yuting Gu, Meng Wang & Qianbo Zhang

  2. School of Information and Communication Engineering, Harbin Institute of Technology, Harbin, 150000, China

    Gang Wang

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  1. **nxin Tian
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  2. Chungang Liu
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  3. Yuting Gu
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  4. Meng Wang
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  5. Gang Wang
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Correspondence to Chungang Liu.

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Tian, X., Liu, C., Gu, Y. et al. Channel estimation of GFDM system based on pilot frequency in doubly selective channel. Wireless Netw (2023). https://doi.org/10.1007/s11276-022-03216-1

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