基于逆积分方程的正弦波频率估计(英文)

Sinusoidal Frequency Estimation Based on Inversion Integral Equation

频率估计算法的普遍问题是计算量大并且在低信噪比时性能较差.文中提出一种基于逆积分方程(Inversion Integral Equation,IIE)的频率估计新算法.首先利用快速傅立叶变换得到频率的粗估计,并从傅立叶变换中提出一个窄带信号建立积分方程.然后通过对积分方程中参数和特征频率的估计得到最终的频率估计.仿真结果显示文中算法以适中的计算量在低信噪比下达到了较好的性能.

In traditional frequency estimation algorithms, there exists a general problem arising from the discrepancy between the costly computation and the unsatisfactory performance under low SNRs （Signal-to-Noise Ratios）. In order to solve this problem, this paper proposes a new frequency estimation algorithm based on the lIE （Inversion Integral Equation） approach. In this algorithm, FFT （Fast Fourier Transform） is used to roughly estimate the frequency, based on which an lIE is constructed according to the narrow-band signal resulting from FFT. Then, the fine frequency is estimated by calculating the parameters and characteristic frequency of the lIE. Simulated results show that the proposed algorithm is of good performance and moderate computational requirement under low SNRs.