用小波变换对ECG信号进行去噪研究

发布时间：2018-05-03 11:06

本文选题：心电信号 + 小波　；参考：《信号处理》2017年08期

【摘要】：小波消失矩阶数的不同,对应的小波滤波器的幅频曲线也不相同,因此选用不同的小波滤波器对信号进行滤波,去噪效果会有明显差异。本文通过数学建模研究分析小波滤波器的幅频特性,明确小波幅频特征及与小波滤波器消失矩的阶数之间的关系,为选择最优小波滤波器提供理论依据。本文提出针对ECG噪声的频率特点实现精确陷波去噪,有效的保留了信号的奇异点与特征值,减少了信号失真。实验结果表明,选择具有相对最优消失矩阶数的提升小波滤波器对ECG进行去噪处理,可以使信号能量分布更加集中,去噪效果更好。
[Abstract]:The amplitude and frequency curves of the corresponding wavelet filter are different with the order of the wavelet vanishing moment. Therefore, different wavelet filters are used to filter the signal, and the denoising effect will be obviously different. In this paper, the amplitude-frequency characteristics of wavelet filters are studied and analyzed by mathematical modeling, and the relationship between wavelet amplitude-frequency characteristics and the order of vanishing moments of wavelet filters is clarified, which provides a theoretical basis for the selection of optimal wavelet filters. In this paper, according to the frequency characteristics of ECG noise, the accurate notch denoising is proposed, which effectively preserves the singularity and eigenvalue of the signal and reduces the distortion of the signal. The experimental results show that the signal energy distribution can be more concentrated and the denoising effect can be better by selecting the lifting wavelet filter with the relative optimal vanishing moment order to deal with the ECG.
【作者单位】：中南大学信息科学与工程学院;广州大学计算机科学与教育软件学院;
【基金】：国家自然科学基金(61632009,61472451,61272151,61502163) 湖南省自然科学基金(2016JJ3051,2017JJ5038)
【分类号】：TN911.7

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