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基于三次样条插值的频域频偏估计算法研究

Research on Frequency Domain Frequency Offset Estimation Algorithm based on Cubic Spline Interpolation
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摘要 为了解决快速傅里叶变换(Fast Fourier Transformation,FFT)栅栏效应引起的频域频偏估计算法的估计精度问题,以拟合理论为基础,给出了对FFT频谱进行分段三次函数拟合的频偏估计模型,通过基本代数理论的详细推导,求解出了频谱最大点的内插公式,该内插公式与二次插值频偏估计算法的内插公式在复杂度上没有提高。仿真结果表明,三次样条插值频偏估计算法的估计误差比二次插值频偏估计算法和FFT频偏估计算法的估计误差更加接近修正的克拉·美罗界(Modified Cramer–Rao Bound,MCRB)。 In order to improve the accuracy of frequency domain frequency offset estimation caused by Fast Fourier Transform(FFT)fence effect,this article presents a frequency offset estimation model based on the cubic function of FFT spectrum segmentation fitting.Through the detailed derivation of basic algebra theory,this paper gives the spectrum interpolation formula of maximum point.This interpolation formula and quadratic interpolation formula of frequency offset estimation did not increase in complexity.The simulation results show that the estimation error of the cubic spline interpolation algorithm of the frequency offset estimation is more close to the Modified Cramer-Rao Bound(MCRB)than the quadratic interpolation algorithm and the FFT frequency offset estimation algorithm.
作者 张少侃 梁中英 高心炜 ZHANG Shaokan;LIANG Zhongying;GAO Xinwei(Guangzhou Haige Communications Group Incorporated Company,Guangzhou 510663,China)
出处 《通信电源技术》 2021年第20期11-14,共4页 Telecom Power Technology
基金 发改办高技[2012]2083号。
关键词 三次样条插值 频偏估计 载波同步 频域拟合 cubic spline interpolation frequency offset estimation carrier synchronization frequency domain fitting
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