Kozumplík Jiří, Provazník Ivo
Department of Biomedical Engineering, Brno University of Technology, Technická 12, 61200, Brno, Czech Republic.
Biomed Eng Online. 2017 Feb 7;16(1):24. doi: 10.1186/s12938-017-0316-0.
The paper presents a method of linear time-varying filtering, with extremely low computational costs, for the suppression of baseline drift in electrocardiographic (ECG) signals. An ECG signal is not periodic as the length of its heart cycles vary. In order to optimally suppress baseline drift by the use of a linear filter, we need a high-pass filter with time-varying cut-off frequency controlled by instant heart rate.
Realization of the high-pass (HP) filter is based on a narrow-band low-pass (LP) filter of which output is subtracted from the delayed input. The base of an LP filter is an extremely low computational cost Lynn's filter with rectangular impulse response. The optimal cut-off frequency of an HP filter for baseline wander suppression is identical to an instantaneous heart rate. Instantaneous length of heart cycles (e.g. RR intervals) are interpolated between QRS complexes to smoothly control cut-off frequency of the HP filter that has been used.
We proved that a 0.5 dB decrease in transfer function, at a time-varying cut-off frequency of HP filter controlled by an instant heart rate, is acceptable when related to maximum error due to filtering. Presented in the article are the algorithms that enable the realization of time-variable filters with very low computational costs. We propose fast linear HP filters for the suppression of baseline wander with time-varying cut-off frequencies controlled by instant heart rate. The filters fulfil accepted professional standards and increase the efficiency of the noise suppression.
本文提出了一种线性时变滤波方法,该方法计算成本极低,用于抑制心电图(ECG)信号中的基线漂移。由于心动周期长度不同,ECG信号并非周期性信号。为了通过线性滤波器最佳地抑制基线漂移,我们需要一个截止频率随瞬时心率变化的高通滤波器。
高通(HP)滤波器的实现基于一个窄带低通(LP)滤波器,其输出从延迟输入中减去。LP滤波器的基础是具有矩形脉冲响应且计算成本极低的林恩滤波器。用于抑制基线漂移的HP滤波器的最佳截止频率与瞬时心率相同。在QRS波群之间对心动周期的瞬时长度(如RR间期)进行插值,以平滑地控制所使用的HP滤波器的截止频率。
我们证明,当与滤波引起的最大误差相关时,在由瞬时心率控制的HP滤波器的时变截止频率下,传递函数下降0.5dB是可以接受的。本文介绍了能够以极低计算成本实现时变滤波器的算法。我们提出了快速线性HP滤波器,用于抑制由瞬时心率控制的时变截止频率的基线漂移。这些滤波器符合公认的专业标准,提高了噪声抑制效率。