arXiv:2502.00497cs.LGeess.SP2025-02被引 4

CFAN统一时频分析,提升心电图分类准确率。

Convolutional Fourier Analysis Network (CFAN): A Unified Time-Frequency Approach for ECG Classification

  • 将傅里叶原理嵌入卷积层,直接融合时频特征
  • 在三个心电任务中均达最优,最高98.95%准确率
  • 无需生成谱图,适合生物信号分类场景

机器学习已革新生物医学信号分析,尤其在心电图(ECG)分类方面。尽管卷积神经网络(CNN)擅长自动特征提取,但时频域信息的最佳融合仍待解决。本文提出卷积傅里叶分析网络(CFAN),通过将傅里叶原理直接嵌入CNN层,实现时频分析的统一。我们在三个任务上评估了CFAN:心律失常分类(MIT-BIH)、身份识别(ECG-ID)和呼吸暂停检测(Apnea-ECG),对比四种基准模型:基于谱图的2D CNN(SPECT)、1D CNN(CNN1D)、基于傅里叶的1D CNN(FFT1D)以及集成傅里叶分析网络的CNN1D(CNN1D-FAN)。CFAN表现卓越,准确率分别达到98.95%(MIT-BIH)、96.83%(ECG-ID)和95.01%(Apnea-ECG)。在ECG-ID与Apnea-ECG任务中,其性能显著优于第二佳方法(CNN1D-FAN,p ≤ 0.02)。关键创新在于CONV-FAN模块,结合正弦、余弦与GELU激活函数,在卷积层中捕捉周期性特征并实现无谱图转换的联合时频学习。结果表明,CFAN在生物医学及信号分类领域具有广泛应用潜力。

原文摘要 · Abstract (English)

Machine learning has revolutionized biomedical signal analysis, particularly in electrocardiogram (ECG) classification. While convolutional neural networks (CNNs) excel at automatic feature extraction, the optimal integration of time- and frequency-domain information remains unresolved. This study introduces the Convolutional Fourier Analysis Network (CFAN), a novel architecture that unifies time-frequency analysis by embedding Fourier principles directly into CNN layers. We evaluate CFAN against four benchmarks - spectrogram-based 2D CNN (SPECT); 1D CNN (CNN1D); Fourier-based 1D CNN (FFT1D); and CNN1D with integrated Fourier Analysis Network (CNN1D-FAN) - across three ECG tasks: arrhythmia classification (MIT-BIH), identity recognition (ECG-ID), and apnea detection (Apnea-ECG). CFAN achieved state-of-the-art performance, surpassing all competing methods with accuracies of 98.95% (MIT-BIH), 96.83% (ECG-ID), and 95.01% (Apnea-ECG). Notably, on ECG-ID and Apnea-ECG, CFAN demonstrated statistically significant improvements over the second-best method (CNN1D-FAN, $p \leq 0.02$), further validating its superior performance. Key innovations include CONV-FAN blocks that combine sine, cosine and GELU activations in convolutional layers to capture periodic features and joint time-frequency learning without spectrogram conversion. Our results highlight CFAN's potential for broader biomedical and signal classification applications.

心电图分类时频分析深度学习卷积网络

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