ABSTRACT

Frequency estimation of multiple real sinusoids is widely concerned in a wide range of areas. In this paper, a DFT-based multiple-frequency estimation method for real signal is proposed. It contains a coarse estimation stage and a fine estimation stage. This method, which is performed in the frequency domain, focuses on generating the corresponding analytic signal of each component and reducing the spectrum leakage of other sinusoids to obtain an accurate estimation of each frequency. The proposed method is efficient and has a lower calculation cost than other recently proposed frequency domain methods for real sinusoids. Simulation results show that the proposed method is capable of achieving the Crámer-Rao lower bound under a wide range of signal-to-noise ratios.

摘要

多个真实正弦波的频率估计在广泛的领域受到广泛关注。本文提出了一种基于DFT的真实信号多频估计方法。它包含粗估计阶段和精细估计阶段。这种在频域中执行的方法侧重于生成每个分量的相应解析信号，并减少其他正弦波的频谱泄漏，以获得对每个频率的准确估计。与其他最近提出的真实正弦波频域方法相比，所提出的方法是有效的并且具有更低的计算成本。仿真结果表明，所提出的方法能够在较宽的信噪比范围内实现 Cramer-Rao 下界。