Page 26 - 《应用声学》2020年第4期

第 39 卷 第 4 期 Vol. 39, No. 4
2020 年 7 月 Journal of Applied Acoustics July, 2020

⋄ 研究报告 ⋄

一种快速有效的正弦波信号频率估计方法 ∗

温兵会 1 毛卫宁 2†

(1 东南大学网络空间安全学院 南京 210096)
(2 东南大学信息科学与工程学院 南京 210096)

摘要：针对 I-Rife 算法和 Fang 算法计算量增大、低信噪比时性能下降的问题，该文提出了一种快速有效的正
弦信号频率精确估计方法，利用两点细化的频谱值估计频率偏移量，不需要判别频率修正方向，降低了算法复
杂度和计算量；分析了频偏估计的偏差。仿真结果表明，该算法的整体性能优于 I-Rife 算法和改进的 Fang 算
法，在保证性能的同时，提高了算法的稳定性和实用性。
关键词：频率估计；频率细化；频率修正方向；克拉美罗界
中图法分类号: TB567 文献标识码: A 文章编号: 1000-310X(2020)04-0512-06
DOI: 10.11684/j.issn.1000-310X.2020.04.003

A fast and effective sinusoidal signal frequency estimation

WEN Binghui 1 MAO Weining 2

(1 School of Cyber Science and Engineering, Southeast University, Nanjing 210096, China)
(2 School of Information Science and Engineering, Southeast University, Nanjing 210096, China)

Abstract: For the I-Rife algorithm and the Fang algorithm, the computational load is increased and the
performance is low at low SNR. In this paper, a fast and effective sinusoidal signal frequency estimation method
is proposed. The frequency offset is estimated by using two refined spectral values. Without discriminating
the frequency correction direction that reduces the computational complexity of the algorithm. The bias of
the frequency offset estimation is analyzed. The simulation results show that the overall performance of the
proposed algorithm is better than the I-Rife algorithm and the improved Fang algorithm, which improves the
stability and practicability of the algorithm while ensuring performance.
Keywords: Frequency estimation; Frequency refinement; Frequency correction direction; Cramer-Rao lower
bound

2019-08-21 收稿; 2020-02-24 定稿
国家自然科学基金项目 (61871124), 水声技术实验室稳定支持项目 (JCKYS2019604SSJSSO12), 声呐技术重点实验室基金项目
∗
(6142109KF201806)
作者简介: 温兵会 (1995– ), 男, 安徽宿州人, 硕士研究生, 研究方向: 水声信号处理。
† 通信作者 E-mail: maoweining@seu.edu.cn