摘要
针对受高斯白噪声干扰的正弦波信号,提出了一种基于DFT插值的信号频率估计的新方法。在总结经典插值算法的基础上,充分利用DFT后频谱峰值及其左右谱线的实部和虚部值进行高精度频率估计。经理论分析和仿真实验证明,当信噪比(SNR)在-5 dB以上时,频率估计的方差趋近于克拉-美罗下界(CRLB)。与经典Rife法对比,相同条件下该算法综合性能更好、更稳定,并且计算复杂度更低,便于实现和应用。
For the sinusoidal signal disturbed by Gaussian white noise,a frequency estimation algorithm based on DFT interpolation algorithm is proposed in this paper.Based on the classical interpolation algorithm,the algorithm of this paper takes full use of the Peak Spectral Frequency and its neighbor spectral lines to estimate the frequency of the signal.The analysis and simulation results indicate that the performance of the algorithm approaching to the Cramer Rao lower bound(CRLB)when the signal to noise ratio(SNR)is higher than-5 dB.Compared with the classical Rife algorithm,the proposed algorithm is better and more stable in performance under the same conditions,and the algorithm has low computational complexity and is easy to implement and apply.
作者
杨建
Yang Jian(National Key Laboratory of Electromagnetic Space Security,Chengdu 610036,China)
出处
《廊坊师范学院学报(自然科学版)》
2024年第1期42-46,共5页
Journal of Langfang Normal University(Natural Science Edition)
关键词
频率估计
快速傅里叶变换
正弦波信号
高斯白噪声
信噪比
frequency estimation
fast Fourier transform(FFT)
single sine signal
Gauss white noise
SNR
作者简介
杨建(1989-),男,硕士,电磁空间安全全国重点实验室工程师,研究方向:信号与信息处理。