电子、通信与自动控制

基于傅里叶系数插值的短波信道迭代频偏估计

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  •  1. 哈尔滨工程大学 信息与通信工程学院, 黑龙江 哈尔滨 150001 ; 2. 武汉船舶通信研究所, 湖北 武汉 430079 
游行远(1989-),男,博士生,主要从事短波调制解调技术研究 .

收稿日期: 2014-05-06

  修回日期: 2014-07-31

  网络出版日期: 2014-12-01

基金资助

船舶工业国防科技预研基金资助项目( 11J3.4.2 )

Iterative Frequency Offset Estimation for High-Frequency Channel Based on Interpolation Using Fourier Coefficients

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  • 1. College of Information and Communication Engineering , Harbin Engineering University , Harbin 150001 , Heilongjiang , China;2. Wuhan Maritime Communication Research Institute , Wuhan 430079 , Hubei , China 
游行远(1989-),男,博士生,主要从事短波调制解调技术研究 .

Received date: 2014-05-06

  Revised date: 2014-07-31

  Online published: 2014-12-01

Supported by

Supported by the Defence Advance Research Program of Science and Technology of Ship Industry ( 11J3.4.2)

摘要

针对短波突发通信中存在的频偏问题,结合短波调解器的波形格式以及低信噪比的信道条件,提出了一种基于傅里叶系数插值的迭代频偏估计算法 . 该算法首先利用离散傅里叶变换( DFT )确定频谱峰值;然后对其结果进行 Jacobsen 插值,通过对插值结果进行误差分析,得出其方差与训练序列长度及信噪比的函数关系,并依此自适应调节其置信度为 0.99999 时的置信区间,将其作为精频偏估计的搜索区间;最后在搜索区间内进行迭代,并利用抛物线插值获取更精确的结果 . 仿真结果表明:对于长度为 128 、 256 、 512 的训练序列,在低信噪比条件下,文中算法均可逼近 Cramer-Rao 下界( CRLB ),特别是在信噪比为 0 dB 时,两次迭代即可使算法的均方误差与 CRLB 的比值达到 1.005 左右 .

本文引用格式

游行远 杨平 徐彬彬 . 基于傅里叶系数插值的短波信道迭代频偏估计[J]. 华南理工大学学报(自然科学版), 2015 , 43(1) : 53 -58 . DOI: 10.3969/j.issn.1000-565X.2015.01.009

Abstract

In order to overcome the frequency offset existing in short-wave ( namely high-frequency , HF ) burst-mode communication , an iterative frequency offset estimation algorithm on the basis of interpolation using Fourier coefficients is proposed , which takes into consideration the waveform of HF modem under low signal-to-noise ratio (SNR).Theproposedestimatoristackledinseveralstages.Firstly , acoarseestimationofpeakfrequencyismade bythe application ofdiscrete Fourier transform ( DFT ) . Secondly , Jacobsen ’ s method is used to interpolate DFT sam-ples , and a bias analysis of the interpolating results is carried out. Then , variance as a function of SNR and training sequence length is obtained , and a confidence interval with a confidence coefficient of 0.99999 , which is used as the searching interval of frequency offset estimation , is adaptively adjusted. Finally , a combination of parabolic interpolation is made with the iterative method to obtain an accurate result through the interval.Simulated results show that the proposed algorithm helps achieve Cramer-Rao low bound ( CRLB ) at low SNR with the training sequences equal to 128 , 256 and 512. Especially , at 0dB , the estimator ’ s mean square error is about 1.005 times that of CRLB only with two iterations.
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