An Improved Fine-Resolution Method for Frequency Estimation of Real-Valued Single-Tone Using Three DFT Samples

Abstract

With respect to the frequency estimation of a real-valued single-tone, a direct frequency estimation method is proposed to acquire fine-resolution parameter by only utilizing three discrete Fourier transform (DFT) samples around the peak. Inspired by the Quinn, Rife and Candan methods, a novel Candan combined Quinn Rife estimator (CCQRE) is proposed, and the theoretical analysis of the corresponding MSE is also given. It has been verified that the proposed method is more robust to the interbin frequency and has better performance than these existed state-of-the-art methods. Both simulations and real data experiments demonstrate the effectiveness of the proposed method. In addition, the proposed methods are suitable for real-time applications due to the simplicity, efficiency and low computational burden.

Accurate Sinusoidal Frequency Estimation Algorithm for Internet of Things Based on Phase Angle Interpolation Using Frequency Shift

“…Nonetheless, there was a lack of optimization of the algorithm performance within the optimal interval. Yao et al [24] used the three spectral lines adjacent to the maximum spectral line to estimate the frequency directly. They were inspired by the Quinn and Rife methods and proposed a novel combined Quinn-Rife estimator (CQRE).…”

“…The variation interval of the phase angle is limited to 0 ∼ π, which is more stable than the amplitude [24]. Therefore, the algorithm proposed in this paper used phase angle interpolation to estimate the frequency.…”