GFDM joint time-frequency offset estimation algorithm based on superimposed training symbols

LIU Chungang; LI Chengda; WANG Gang

doi:10.11959/j.issn.1000-0801.2025223

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GFDM joint time-frequency offset estimation algorithm based on superimposed training symbols

Research and Development | 更新时间：2026-01-20

- GFDM joint time-frequency offset estimation algorithm based on superimposed training symbols
- Telecommunications Science Vol. 41, Issue 11, Pages: 154-162(2025)
- 作者机构：
  
  1.河北师范大学中燃工学院，河北石家庄 050024
  2.河北省信息融合与智能控制重点实验室，河北石家庄 050024
  3.哈尔滨工业大学通信技术研究所，黑龙江哈尔滨 150001
- 作者简介：
- 基金信息：
  
  The National Natural Science Foundation of China(62071167)
- DOI：10.11959/j.issn.1000-0801.2025223
  CLC： TN919
- Received：22 April 2025，
  
  Revised：2025-07-30，
  
  Accepted：26 August 2025，
  
  Published：20 November 2025
- 稿件说明：
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刘春刚,李城达,王钢.基于叠加训练符号的GFDM联合时频偏估计算法[J].电信科学,2025,41(11):154-162.

LIU Chungang,LI Chengda,WANG Gang.GFDM joint time-frequency offset estimation algorithm based on superimposed training symbols[J].Telecommunications Science,2025,41(11):154-162.
刘春刚,李城达,王钢.基于叠加训练符号的GFDM联合时频偏估计算法[J].电信科学,2025,41(11):154-162. DOI： 10.11959/j.issn.1000-0801.2025223.

LIU Chungang,LI Chengda,WANG Gang.GFDM joint time-frequency offset estimation algorithm based on superimposed training symbols[J].Telecommunications Science,2025,41(11):154-162. DOI： 10.11959/j.issn.1000-0801.2025223.

摘要

未来的低轨（low earth orbit，LEO）卫星通信系统需要更灵活的物理层，因此有了广义频分复用（generalized frequency division multiplexing，GFDM）技术。对由重复加权序列构成的训练符号进行了研究，避免了时频偏估计中的串扰问题，并提出一种新的时频偏估计算法。该算法利用了训练码的时域对称共轭性和训练码在时域上良好的自相关特性，通过分段移动相关来实现定时同步，并通过两个重复训练符号的相位差估计小数频偏，利用频域的良好自相关特性和零处的低能量特性估计整数频偏。仿真结果表明该算法相比其他算法，频偏估计误差降低了两个数量级，时偏估计误差降低了3个数量级，接收误码率降低了7个数量级。因此该算法的时频偏估计以及抗频偏性能更好，能够有效提升GFDM系统的整体性能。

Abstract

The future low earth orbit (LEO) satellite communication system requires a more flexible physical layer

thus giving rise to generalized frequency division multiplexing (GFDM) technology. The training symbols composed of repeated weighted sequences were studied

avoiding the crosstalk problem in time-frequency offset estimation

and a new time-frequency offset estimation algorithm was proposed. This algorithm utilizes the time-domain symmetric conjugation of the training code and its excellent autocorrelation characteristics in the time domain to achieve timed synchronization through piecewise moving correlation. The decimal frequency offset was estimated through the phase difference of two repeatedly trained symbols

and the integer frequency offset was estimated by taking advantage of the good autocorrelation property in the frequency domain and the low energy property at zero. The simulation results show that

compared with other algorithms

the frequency offset estimation error of this algorithm is reduced by two orders of magnitude

the time offset estimation error is reduced by three orders of magnitude

and the received bit error rate is reduced by seven orders of magnitude. Therefore

the time-frequency offset estimation and anti-frequency offset performance of this algorithm are better

which can effectively improve the overall performance of the GFDM system.

关键词

Keywords

references

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