arXiv:2609.07034cs.SDcs.AI2026-09

提出自适应信噪比的频谱估计算法,低噪时保精度,高噪时抗干扰。

Frequency Estimation Based on SNR-adaptive Frequency Estimator Under Wide SNR Range

论文配图:Frequency Estimation Based on SNR-adaptive Frequency Estimator Under Wide SNR Range
图 1 · 摘自论文原文
  • 根据信噪比动态选择增强网络与估计算法组合
  • 低信噪比下误检率降低13.04%,频谱误差下降56.67%
  • 适用于真实复杂环境中的稳健频谱分析

频率估计是从含噪多音正弦信号中识别各音调频率的问题。现有方法在低信噪比(SNR)环境下难以准确识别音调数量及具体频率,因弱信号成分被噪声掩盖。同时,多数方法在低SNR鲁棒性与高SNR精度间存在权衡,难以在宽SNR范围内保持一致优异性能。为此,本文提出一种信噪比自适应频率估计算法(SAFE)。SAFE由时频图像神经网络(TFINet)和基于信噪比的频率选择器(SFS)组成:TFINet增强低SNR下的弱频率成分,SFS根据各音调的信噪比选择鲁棒型或超分辨率估计算法。实验表明,当SNR范围为-10 dB至0 dB时,SAFE的误检率(FNR)为13.00%,相比当前最优方法提升13.04%;同时,近邻根均方误差(NN-RMSE)降低56.67%,显著提升估计精度。真实数据实验进一步验证了SAFE在复杂实际环境中的鲁棒性。

原文摘要 · Abstract (English)

Frequency estimation is the problem of estimating individual tone frequencies from noisy multi-tone sinusoidal signals. Existing frequency estimation methods have difficulty accurately estimating both the number of tone frequencies and the individual tone frequencies in low signal-to-noise ratio (SNR) environments, because weak tone frequency components are buried in noise. In addition, existing methods generally exhibit a trade-off between robustness at low SNR and frequency estimation precision at high SNR, making it difficult to achieve consistently superior frequency estimation performance over a wide SNR range. To overcome these limitations, this paper proposes an SNR-adaptive frequency estimator (SAFE). SAFE consists of a time-frequency image neural network (TFINet), which enhances weak tone frequency components at low SNR, and an SNR-based frequency selector (SFS), which selects an appropriate frequency estimator according to the SNR of the estimated tone frequencies. TFINet enhances tone frequency components even in the low-SNR range, while SFS estimates the SNR of each tone frequency and selects either a robust frequency estimator or a super-resolution frequency estimator according to the estimated SNR. This enables SAFE to achieve robustness at low SNR while preserving high precision at high SNR. Simulation results show that SAFE achieves an False Negative Rate (FNR) of 13.00% over the SNR range from -10 dB to 0 dB, corresponding to an 13.04% improvement over the state-of-the-art method. In addition, SAFE reduces the Nearest Neighbor-Root Mean Squared Error (NN-RMSE) by 56.67% compared with the state-of-the-art method, demonstrating that SAFE performs more accurate frequency estimation. Furthermore, experiments using real-world data demonstrate that SAFE provides robust frequency estimation performance even in practical environments with clutter.

频率估计信噪比自适应神经网络信号处理

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