本文選題：心電信號 + 小波　； 參考：《信號處理》2017年08期

【摘要】：小波消失矩階數(shù)的不同,對應的小波濾波器的幅頻曲線也不相同,因此選用不同的小波濾波器對信號進行濾波,去噪效果會有明顯差異。本文通過數(shù)學建模研究分析小波濾波器的幅頻特性,明確小波幅頻特征及與小波濾波器消失矩的階數(shù)之間的關(guān)系,為選擇最優(yōu)小波濾波器提供理論依據(jù)。本文提出針對ECG噪聲的頻率特點實現(xiàn)精確陷波去噪,有效的保留了信號的奇異點與特征值,減少了信號失真。實驗結(jié)果表明,選擇具有相對最優(yōu)消失矩階數(shù)的提升小波濾波器對ECG進行去噪處理,可以使信號能量分布更加集中,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.
【作者單位】： 中南大學信息科學與工程學院;廣州大學計算機科學與教育軟件學院;
【基金】：國家自然科學基金(61632009,61472451,61272151,61502163) 湖南省自然科學基金(2016JJ3051,2017JJ5038)
【分類號】：TN911.7

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