用双阈值和多尺度分析提升微弱信号检测能力,降低噪声依赖。
A Multiscale Approach for Enhancing Weak Signal Detection
- 设计双阈值检测器,结合多尺度小波变换增强信号分辨。
- 实验显示在频域中需更低噪声即可实现更优检测性能。
- 适合信号处理、生物医学传感等需高灵敏度检测的场景。
随机共振(SR)是一种源于气候建模的现象,通过非线性系统中最佳噪声水平来增强信号检测。传统基于单阈值检测器的SR方法仅适用于不随时间变化的信号,且常需大量噪声,易破坏复杂信号特征。为此,本文探索多阈值系统与基于小波变换的多尺度应用。多尺度域可分层分析信号以揭示底层动态。提出一种集成两个单阈值检测器的双阈值检测系统,在原始数据域与多尺度域均评估其性能,并与现有方法对比。实验表明:在原始域,该方法显著优于传统单阈值方案;在频域中,所需噪声更低,性能超越现有系统。本研究推进了基于SR的检测方法,为微弱信号识别提供稳健新路径,具有跨学科应用潜力。
原文摘要 · Abstract (English)
Stochastic resonance (SR), a phenomenon originally introduced in climate modeling, enhances signal detection by leveraging optimal noise levels within non-linear systems. Traditional SR techniques, mainly based on single-threshold detectors, are limited to signals whose behavior does not depend on time. Often large amounts of noise are needed to detect weak signals, which can distort complex signal characteristics. To address these limitations, this study explores multi-threshold systems and the application of SR in multiscale applications using wavelet transforms. In the multiscale domain signals can be analyzed at different levels of resolution to better understand the underlying dynamics. We propose a double-threshold detection system that integrates two single-threshold detectors to enhance weak signal detection. We evaluate it both in the original data domain and in the multiscale domain using simulated and real-world signals and compare its performance with existing methods. Experimental results demonstrate that, in the original data domain, the proposed double-threshold detector significantly improves weak signal detection compared to conventional single-threshold approaches. Its performance is further improved in the frequency domain, requiring lower noise levels while outperforming existing detection systems. This study advances SR-based detection methodologies by introducing a robust approach to weak signal identification, with potential applications in various disciplines.
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