WO2021042591A1 - Heart rate variability signal analysis method based on extremum energy decomposition method - Google Patents

Heart rate variability signal analysis method based on extremum energy decomposition method Download PDF

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WO2021042591A1
WO2021042591A1 PCT/CN2019/121416 CN2019121416W WO2021042591A1 WO 2021042591 A1 WO2021042591 A1 WO 2021042591A1 CN 2019121416 W CN2019121416 W CN 2019121416W WO 2021042591 A1 WO2021042591 A1 WO 2021042591A1
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signal
extreme
energy
value
component
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周作建
宁新宝
曾彭
姜晓东
王�华
王斌斌
刘红星
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江苏华康信息技术有限公司
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    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/02Detecting, measuring or recording pulse, heart rate, blood pressure or blood flow; Combined pulse/heart-rate/blood pressure determination; Evaluating a cardiovascular condition not otherwise provided for, e.g. using combinations of techniques provided for in this group with electrocardiography or electroauscultation; Heart catheters for measuring blood pressure
    • A61B5/0205Simultaneously evaluating both cardiovascular conditions and different types of body conditions, e.g. heart and respiratory condition
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/02Detecting, measuring or recording pulse, heart rate, blood pressure or blood flow; Combined pulse/heart-rate/blood pressure determination; Evaluating a cardiovascular condition not otherwise provided for, e.g. using combinations of techniques provided for in this group with electrocardiography or electroauscultation; Heart catheters for measuring blood pressure
    • A61B5/024Detecting, measuring or recording pulse rate or heart rate
    • A61B5/02405Determining heart rate variability
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/02Detecting, measuring or recording pulse, heart rate, blood pressure or blood flow; Combined pulse/heart-rate/blood pressure determination; Evaluating a cardiovascular condition not otherwise provided for, e.g. using combinations of techniques provided for in this group with electrocardiography or electroauscultation; Heart catheters for measuring blood pressure
    • A61B5/024Detecting, measuring or recording pulse rate or heart rate
    • A61B5/0245Detecting, measuring or recording pulse rate or heart rate by using sensing means generating electric signals, i.e. ECG signals
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/24Detecting, measuring or recording bioelectric or biomagnetic signals of the body or parts thereof
    • A61B5/316Modalities, i.e. specific diagnostic methods
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/24Detecting, measuring or recording bioelectric or biomagnetic signals of the body or parts thereof
    • A61B5/316Modalities, i.e. specific diagnostic methods
    • A61B5/318Heart-related electrical modalities, e.g. electrocardiography [ECG]
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/72Signal processing specially adapted for physiological signals or for diagnostic purposes
    • A61B5/7203Signal processing specially adapted for physiological signals or for diagnostic purposes for noise prevention, reduction or removal
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/72Signal processing specially adapted for physiological signals or for diagnostic purposes
    • A61B5/7235Details of waveform analysis
    • AHUMAN NECESSITIES
    • A61MEDICAL OR VETERINARY SCIENCE; HYGIENE
    • A61BDIAGNOSIS; SURGERY; IDENTIFICATION
    • A61B5/00Measuring for diagnostic purposes; Identification of persons
    • A61B5/72Signal processing specially adapted for physiological signals or for diagnostic purposes
    • A61B5/7235Details of waveform analysis
    • A61B5/725Details of waveform analysis using specific filters therefor, e.g. Kalman or adaptive filters

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  • the invention relates to an electrocardiogram signal analysis, in particular to a heart rate variability signal analysis method based on an extreme value energy decomposition method.
  • Heart rate variability refers to the measurement of the time variability between consecutive cardiac cycles, to be precise, it should be the measurement of the variance of the difference between the normal P-P intervals that occur continuously.
  • HRV Heart rate variability
  • RRI R-R interval signal
  • HRV signal heart rhythm variability signal
  • HRV signal heart rhythm variability signal
  • RR interval Interbeat Intervals, RRI
  • PSD power spectrum analysis
  • the object of the present invention is to provide a heart rate variability signal analysis method based on extreme energy decomposition method that can use less data and can intuitively reflect the true law of the energy distribution and signal fluctuation of the electrocardiogram.
  • the present invention discloses a heart rate variability signal analysis method based on extreme energy decomposition method, which includes the following steps:
  • the first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range;
  • the normalized energy distribution vector Draw a normalized energy distribution map, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
  • the specific method of denoising preprocessing in the step (1) is: filtering the ECG signal through a 40Hz zero-phase FIR low-pass filter to eliminate high-frequency noise, and then through a median filter to remove baseline drift.
  • the conditions for determining the extreme value modal function in the step (3) are: (a). In the entire data sequence, the number of extreme points is equal to or different from the number of zero-crossing points; (b). At any moment, the upper and lower envelopes are symmetrical to the time axis.
  • represents the screening threshold, which is between 0.2 and 0.3.
  • the first standard value in the step (7) is -0.15, and the second standard value is 0.08.
  • the present invention uses the extreme energy decomposition method (Extremum Energy Decomposition, EED) to analyze the RRI signal, decomposes the original signal into multiple components, that is, the extreme component function, calculates the energy of each component, and obtains its energy distribution;
  • EED Extrem Energy Decomposition
  • the signal can be decomposed into signals of different time levels from high frequency to low frequency according to the fluctuation law of the raw RRI signal, and the frequency band is divided more carefully; the data length obtained by extreme value decomposition at all levels is the same, so it will not lead to data length Reduced, so that it can be used for short-term data analysis, that is, a small amount of data is needed to analyze and get accurate results;
  • EED is not easy to be affected by noise for different levels of component energy analysis.
  • Figure 1 is a schematic diagram of the original signal in the present invention
  • Fig. 2 is a schematic diagram of obtaining an envelope of an original signal in the present invention
  • Fig. 3 is a schematic diagram of the original signal minus the envelope mean value signal in the present invention.
  • Fig. 4 is a schematic diagram of the first extremum modal function component obtained in the present invention.
  • Figure 5 is a schematic flow chart of the extreme value energy decomposition method in the present invention.
  • FIG. 6 is a schematic diagram of the EED decomposition of the RRI signal in Embodiment 1 of the present invention.
  • FIG. 7 is a schematic diagram of the normalized energy distribution in the RRI signal in Embodiment 1 of the present invention.
  • a heart rate variability signal analysis method based on extreme energy decomposition method of the present invention includes the following steps:
  • the envelope mean signal of the lower envelope m(t) (e max + e min )/2;
  • represents the screening threshold, which is between 0.2 and 0.3; the extremum modal decomposition that meets the stopping criterion meets the following two conditions: (a) The final extremum modal function component c n (t) or margin r n (t) is less than the preset threshold; (b) the residual signal r n (t) becomes a monotonic signal, and the extreme modal function signal cannot be extracted from it;
  • the first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range;
  • the normalized energy distribution vector Draw a normalized energy distribution map, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
  • the extreme energy decomposition method (Extremum Energy Decomposition, EED) adopted by the present invention is a method based on the concept of extreme value modal function, which is a type of signal with a single frequency that satisfies the following two conditions at the same time , The two conditions are:
  • the upper envelope formed by the local maximum point and the lower envelope formed by the local minimum point have a mean value of zero, that is to say, the local upper and lower envelopes are locally symmetric with respect to the time axis;
  • condition (a) is similar to the requirement of Gaussian normal stationary process for traditional narrowband
  • condition (b) ensures that the instantaneous frequency calculated by the extreme value modal function has physical meaning.
  • the standard selection for the termination of the extreme value modal function decomposition of the present invention should be moderate. Too strict conditions will cause the last few extreme value modal function components to lose meaning; too loose conditions will cause useful components to be lost; in practical applications, It is also possible to set the number of extreme modal function component levels that need to be decomposed according to requirements, and the calculation is terminated when the decomposition level is satisfied.
  • the EED analysis method is used to analyze the energy distribution of ECG in healthy people and CHF patients at different levels.
  • a heart rate variability signal analysis method based on extreme energy decomposition method for healthy people includes the following steps:
  • the 8 extreme modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
  • the first component p 1 represents the energy of the highest frequency band, and represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency band.
  • a heart rate variability signal analysis method based on extreme energy decomposition method for CHF patients includes the following steps:
  • the 8 extreme modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
  • the first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range;
  • a normalized energy distribution map is drawn with the unified energy distribution vector, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
  • the present invention obtains the results in Table 1.
  • Table 1 Average center frequencies of HRV signals of healthy people and CHF patients at different component levels
  • the typical methods of traditional Power Spectral Density (PSD) method for frequency domain segmentation are: HF (0.15 ⁇ 0.4 Hz), LF (0.04 ⁇ 0.15 Hz), VLF (0.0033 ⁇ 0.04 Hz).
  • the frequency of the EED method of the present invention is higher than HF; level 2 is in the frequency range of HF; levels 3 and 4 are in the range of LF; levels 5-7 are in the frequency range of VLF; and level 8 is lower than VLF.
  • the frequency of CHF patients at the same level is slightly higher than that of healthy people, which reflects the influence of heart disease on HRV fluctuation rhythm. At the same level, HRV fluctuates faster in CHF patients.
  • the extreme value modal function components C i (t) obtained by decomposing the HRV signals of the two groups are calculated to obtain the normalized energy distribution vector, and the EED curve is drawn, as shown in FIG. 7.
  • Figure 7 is a schematic diagram of EED analysis results of RR interval signals in healthy people and CHF patients.
  • the data length is 10000 points
  • the curve represents the mean value
  • the error bar represents the standard deviation.
  • the symbol * above the curve indicates that the energy T test p ⁇ 0.01 of the two groups of people. In the selection of levels, levels 1 and higher than 7, including margins, are removed.
  • Level 1 is easily affected by noise, leading to large fluctuations in energy, causing excessive standard deviation of the results, and its frequency can be as high as several kHz, so it has no clear physiological significance; levels higher than 7 reflect the long-term signal Rhythm is very susceptible to the influence of the external environment, and its frequency is very low, and its physiological significance is unknown.
  • Level 7 at the low-weight level (levels 2, 3), the normalized energy value of CHF patients is significantly higher than that of healthy people, and at the high-weight level (level>5), the opposite changes occur, and the energy of healthy people is higher than that of healthy people. Energy of CHF patients; healthy people's energy is relatively stable at levels 2 to 5.
  • the present invention adds the EED analysis results of surrogate data (Healthy Surrogate, CHF Surrogate). As shown in Figure 7, the surrogate data is generated by randomizing the original data. The energy distribution of the surrogate data is monotonous as the scale increases. Decrease, compared with CHF patients, the energy is higher on a small time scale, and energy is lower on a long time scale.
  • the energy difference value EDV of each group is calculated.
  • a high EDV value indicates a higher component low-level energy distribution and a lower component high-level energy distribution of the RRI signal.
  • the EDV values of healthy people, CHF patients and their replacement data are calculated, as shown in Table 2.
  • Heart rate variability refers to the measurement of the time variability between consecutive cardiac cycles, to be precise, it should be the measurement of the variance of the difference between the normal P-P intervals that occur continuously.
  • HRV Heart rate variability
  • RRI R-R interval signal

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Abstract

A heart rate variability signal analysis method based on an extremum energy decomposition method, comprising obtaining an ECG signal in an unknown state at a given time and a given sampling frequency, and denoising the ECG signal to obtain an RRI signal x(t); using the RRI signal x(t) as an original signal, and decomposing the original signal x(t) into n extremum mode function components and one margin, the n extremum mode function components obtained by decomposing the original signal x(t) representing components of the original signal in different frequency bands; and determining, according to the n extremum mode function components, whether the RRI signal is an abnormal heart rate variability signal. According to the present invention, the RRI signal is analyzed using an extremum energy decomposition method, the original signal is decomposed into a plurality of components, i.e., an extremum component function, and energy of each component is calculated to obtain energy distribution thereof.

Description

一种基于极值能量分解法的心率变异性信号分析方法A Heart Rate Variability Signal Analysis Method Based on Extreme Energy Decomposition Method 技术领域Technical field
本发明涉及一种心电图信号分析,尤其涉及一种基于极值能量分解法的心率变异性信号分析方法。The invention relates to an electrocardiogram signal analysis, in particular to a heart rate variability signal analysis method based on an extreme value energy decomposition method.
背景技术Background technique
生理信号是由生命体多个系统相互作用产生的,不同系统作用的时间和强度不同,导致生理信号具有时间和空间上的复杂性。心率变异性(HRV)是指测量连续心动周期之间的时间变异数,准确地说,应该是测量连续出现的正常P-P间期之间的差异的变异数。但由于P波不如R波明显或P波顶端有时宽钝,所以对心率变异性信号的研究通常用与P-P间期相等的R-R间期信号(RRI)来代替。研究表明,HRV可做为植物神经系统活动的无创性检测指标,尤其在判断某些心血管疾病的预后方面有着重要意义。Physiological signals are generated by the interaction of multiple systems in a living body, and the time and intensity of the action of different systems are different, leading to the complexity of time and space in physiological signals. Heart rate variability (HRV) refers to the measurement of the time variability between consecutive cardiac cycles, to be precise, it should be the measurement of the variance of the difference between the normal P-P intervals that occur continuously. However, because the P wave is not as obvious as the R wave or the top of the P wave is sometimes wide and blunt, the research on the heart rate variability signal is usually replaced by the R-R interval signal (RRI) equal to the P-P interval. Studies have shown that HRV can be used as a non-invasive detection indicator of autonomic nervous system activity, especially in judging the prognosis of certain cardiovascular diseases.
现有技术中研究心脏的长时调节节律(<1Hz))常用心律变异性信号(HRV信号)作为分析对象。大量的研究表明,人体HRV信号具有长时相关性和非线性动力学复杂性,并且年龄和疾病会导致动力学复杂性降低。对心率变异性(Heart Rate Varibility,HRV)信号的研究常用的是RR间期(Interbeat Intervals,RRI)信号,即连续RRI信号R波之间的时间间隔信号。In the prior art, the heart rhythm variability signal (HRV signal) is often used as an analysis object to study the long-term regulation rhythm of the heart (<1 Hz). A large number of studies have shown that human HRV signals have long-term correlation and nonlinear dynamics complexity, and age and disease will lead to reduced dynamics complexity. Research on Heart Rate Variability (HRV) signals is commonly used in the RR interval (Interbeat Intervals, RRI) signal, that is, the time interval signal between the R waves of consecutive RRI signals.
研究HRV信号的能量改变最常用的方法是功率谱分析(PSD)。PSD通过傅里叶变换将HRV信号的功率转化成频率的函数,研究不同频域范围的功率大小,通常HRV频谱分为高频(HF)、低频(LF)和极低频(VLF)等几个频段。LF/HF比值有重要的临床价值。心脏疾病会引起HRV功率谱的改变,比如心衰和心肌梗死引起归一化HF增高、LF和VLF降低。然而,PSD不是一种基于数据驱动的方法,并且对频域的分段比较粗糙,导致细节缺失,分割也不够灵活。The most commonly used method to study the energy changes of HRV signals is power spectrum analysis (PSD). PSD converts the power of the HRV signal into a function of frequency through Fourier transform, and studies the power of different frequency domains. Generally, the HRV spectrum is divided into high frequency (HF), low frequency (LF) and very low frequency (VLF). Frequency band. The LF/HF ratio has important clinical value. Heart disease can cause changes in the power spectrum of HRV, such as heart failure and myocardial infarction that cause normalized HF to increase, and LF and VLF to decrease. However, PSD is not a data-driven method, and the frequency domain segmentation is relatively rough, resulting in missing details and insufficient segmentation.
因此,亟待解决上述问题。Therefore, it is urgent to solve the above-mentioned problems.
发明内容Summary of the invention
发明目的:本发明的目的是提供一种可采用较少数据即可直观反映心电图能量分布和信号波动的真实规律的基于极值能量分解法的心率变异性信号分析方法。Object of the invention: The object of the present invention is to provide a heart rate variability signal analysis method based on extreme energy decomposition method that can use less data and can intuitively reflect the true law of the energy distribution and signal fluctuation of the electrocardiogram.
技术方案:为实现以上目的,本发明公开了一种基于极值能量分解法的心率变异性信号分析方法,包括如下步骤:Technical solution: In order to achieve the above objective, the present invention discloses a heart rate variability signal analysis method based on extreme energy decomposition method, which includes the following steps:
(1)、获取给定时间和给定采样频率下的未知状态的ECG信号,然后对ECG信号进行去噪预处理,从中提取RRI信号,得到未知状态的RRI信号x(t);(1) Obtain the ECG signal of the unknown state at a given time and a given sampling frequency, and then perform denoising preprocessing on the ECG signal, extract the RRI signal from it, and obtain the RRI signal x(t) of the unknown state;
(2)、将RRI信号x(t)作为原始信号,求出原始信号的所有局部极值点,然后将原始信号的所有极大值点和所有极小值点采用样条曲线连起来分别形成上包络线e max和下包络线e min,得到上、下包络线的包络均值信号m(t)=(e max+e min)/2; (2) Take the RRI signal x(t) as the original signal, find all the local extreme points of the original signal, and then connect all the maximum points and all the minimum points of the original signal using spline curves to form them respectively The upper envelope e max and the lower envelope e min are used to obtain the envelope mean signal m(t)=(e max +e min )/2 of the upper and lower envelopes;
(3)、将原始信号x(t)减去包络均值信号m(t),得到h(t)=x(t)-m(t);然后判断h(t)是否满足极值模态函数的判定条件,如果不满足,将h(t)作为原始信号返回至步骤(3),直到h k(t)满足极值模态函数的判定条件,则记c 1(t)=h k(t),作为第一个极值模态函数分量; (3) Subtract the envelope mean signal m(t) from the original signal x(t) to obtain h(t)=x(t)-m(t); then judge whether h(t) satisfies the extreme mode If the judgment condition of the function is not met, return h(t) as the original signal to step (3) until h k (t) meets the judgment condition of the extreme modal function, then write c 1 (t) = h k (t), as the first extreme value modal function component;
(4)、将原始信号x(t)减去第一个极值模态函数分量c 1(t),得到余量r 1(t)=x(t)-c 1(t),然后判断h k(t)是否满足停止准则,如果不满足,将r 1(t)作为新的原始序列x(t),返回至步骤(2)和(3);如果h k(t)满足停止准则但n<8时,返回步骤(1)重新获取原始信号;如果h k(t)满足停止准则且n≥8时,得到第2、3、…、n个极值模态函数分量及余量r n(t),于是将原始信号x(t)分解为n个极值模态函数分量和一个余量,即 (4) Subtract the first extremum modal function component c 1 (t) from the original signal x(t) to obtain the margin r 1 (t) = x(t)-c 1 (t), and then judge Whether h k (t) meets the stopping criterion, if not, take r 1 (t) as the new original sequence x(t), and return to steps (2) and (3); if h k (t) meets the stopping criterion But when n<8, return to step (1) to obtain the original signal again; if h k (t) meets the stopping criterion and n≥8, the second, third, ..., nth extreme modal function components and margins are obtained r n (t), then the original signal x(t) is decomposed into n extreme value modal function components and a margin, namely
Figure PCTCN2019121416-appb-000001
Figure PCTCN2019121416-appb-000001
(5)、对极值模态函数分量c i(t),i=1,2,…,n,进行频谱分析得到各极值模态函数分量的中心频率; (5) Perform frequency spectrum analysis on the extreme value modal function components c i (t), i=1, 2,..., n to obtain the center frequency of each extreme value modal function component;
(6)、将原始信号x(t)分解得的n个极值模态函数分量,代表了原始信号不同频段的分量,然后计算其各个分量的能量(6). The n extreme value modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
E i=∫|c i(t)| 2dt,i=1,2,…,n E i =∫|c i (t)| 2 dt,i=1,2,...,n
将每一个能量值归一化,得到归一化的能量分布向量Normalize each energy value to get a normalized energy distribution vector
p i=E i/E,i=1,2,…,n p i =E i /E,i=1,2,...,n
其中,
Figure PCTCN2019121416-appb-000002
第一个分量p 1表示最高频段的能量,代表了信号在最高频段范围内能量分布的比例,最后一个分量p n表示信号在最低频段范围内能量分布的比例;根据归一化的能量分布向量绘制归一化能量分布图,其中横坐标表示分量层次,纵坐标表示归一化的能量分布向量值,曲线表示平均值,误差棒表示标准差;
among them,
Figure PCTCN2019121416-appb-000002
The first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range; according to the normalized energy distribution vector Draw a normalized energy distribution map, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
(7)、选取第二个分量p 2至第七个分量p 7,计算能量差异值EDV,EDV=(p 2+p 3+p 4)-(p 5+p 6+p 7),当EDV≤第一标准值时,则判定该RRI信号为正常心率变 异性信号,当第一标准值<EDV<第二标准值时,则判定该RRI信号为疑似异常心率变异性信号,当EDV≥第二标准值时,则判定该RRI信号为异常心率变异性信号。 (7). Select the second component p 2 to the seventh component p 7 and calculate the energy difference value EDV, EDV=(p 2 +p 3 +p 4 )-(p 5 +p 6 +p 7 ), when When EDV ≤ the first standard value, it is determined that the RRI signal is a normal heart rate variability signal. When the first standard value <EDV <the second standard value, it is determined that the RRI signal is a suspected abnormal heart rate variability signal, when EDV ≥ At the second standard value, it is determined that the RRI signal is an abnormal heart rate variability signal.
其中,所述原始信号x(t)所需最少数据量N=2 n+1,其中n为分解出的极值模态函数分量的数量。 Wherein, the minimum amount of data required for the original signal x(t) is N=2 n+1 , where n is the number of decomposed extreme value modal function components.
优选的,所述步骤(1)中去噪预处理的具体方法为:将ECG信号经过40Hz零相位FIR低通滤波器滤波消除高频噪声,然后经过中值滤波器去除基线漂移。Preferably, the specific method of denoising preprocessing in the step (1) is: filtering the ECG signal through a 40Hz zero-phase FIR low-pass filter to eliminate high-frequency noise, and then through a median filter to remove baseline drift.
再者,所述步骤(3)中极值模态函数的判定条件为:(a)、在整个数据序列中,极值点的数量与过零点的数量相等或者相差一个;(b)、在任意时刻,上下包络线对于时间轴对称。Furthermore, the conditions for determining the extreme value modal function in the step (3) are: (a). In the entire data sequence, the number of extreme points is equal to or different from the number of zero-crossing points; (b). At any moment, the upper and lower envelopes are symmetrical to the time axis.
进一步,所述步骤(4)中h k(t)满足停止准则公式为: Further, in the step (4), h k (t) satisfies the stopping criterion formula:
Figure PCTCN2019121416-appb-000003
ε表示筛选门限,取0.2~0.3之间。
Figure PCTCN2019121416-appb-000003
ε represents the screening threshold, which is between 0.2 and 0.3.
优选的,所述步骤(7)中的第一标准值为-0.15,第二标准值为0.08。Preferably, the first standard value in the step (7) is -0.15, and the second standard value is 0.08.
有益效果:与现有技术相比,本发明具有以下显著优点:Beneficial effects: Compared with the prior art, the present invention has the following significant advantages:
本发明采用极值能量分解方法(Extremum Energy Decomposition,EED)分析RRI信号,将原始信号分解为多个分量,也就是极值分量函数,计算每一个分量的能量,得到其能量分布;本发明的可依据生RRI信号自身的波动规律将信号分解为从高频到低频的不同时间层次信号,对频段的分割较为细致;极值分解在所有层次上得到的数据长度相同,因而不会导致数据长度减小,从而使其可以用于短时间数据分析,即需要很少数据量即可分析得到准确结果;EED对于不同层次分量能量分析不容易受噪声的影响。The present invention uses the extreme energy decomposition method (Extremum Energy Decomposition, EED) to analyze the RRI signal, decomposes the original signal into multiple components, that is, the extreme component function, calculates the energy of each component, and obtains its energy distribution; The signal can be decomposed into signals of different time levels from high frequency to low frequency according to the fluctuation law of the raw RRI signal, and the frequency band is divided more carefully; the data length obtained by extreme value decomposition at all levels is the same, so it will not lead to data length Reduced, so that it can be used for short-term data analysis, that is, a small amount of data is needed to analyze and get accurate results; EED is not easy to be affected by noise for different levels of component energy analysis.
附图说明Description of the drawings
图1为本发明中原始信号的示意图;Figure 1 is a schematic diagram of the original signal in the present invention;
图2为本发明中原始信号求取包络线的示意图;Fig. 2 is a schematic diagram of obtaining an envelope of an original signal in the present invention;
图3为本发明中原始信号的减去包络均值信号的示意图;Fig. 3 is a schematic diagram of the original signal minus the envelope mean value signal in the present invention;
图4为本发明中得到第一个极值模态函数分量的示意图;Fig. 4 is a schematic diagram of the first extremum modal function component obtained in the present invention;
图5为本发明中极值能量分解法的流程示意图;Figure 5 is a schematic flow chart of the extreme value energy decomposition method in the present invention;
图6为本发明实施例1中RRI信号的EED分解示意图;6 is a schematic diagram of the EED decomposition of the RRI signal in Embodiment 1 of the present invention;
图7为本发明实施例1中RRI信号中归一化能量分布示意图。FIG. 7 is a schematic diagram of the normalized energy distribution in the RRI signal in Embodiment 1 of the present invention.
具体实施方式detailed description
下面结合附图对本发明的技术方案作进一步说明。The technical scheme of the present invention will be further described below in conjunction with the accompanying drawings.
如图1、图2、图3、图4和图5所示,本发明的一种基于极值能量分解法的心率变异性信号分析方法,包括如下步骤:As shown in Figure 1, Figure 2, Figure 3, Figure 4 and Figure 5, a heart rate variability signal analysis method based on extreme energy decomposition method of the present invention includes the following steps:
(1)、获取给定时间和给定采样频率下的未知状态的ECG信号,然后对ECG信号进行去噪预处理,从中提取RRI信号,得到未知状态的RRI信号x(t);其中去噪预处理的具体方法为:由于ECG能量主要集中在0~40Hz,将ECG信号经过40Hz零相位FIR低通滤波器滤波消除高频噪声,然后经过中值滤波器去除基线漂移;(1) Obtain the ECG signal of the unknown state at a given time and a given sampling frequency, and then perform denoising preprocessing on the ECG signal, extract the RRI signal from it, and obtain the RRI signal x(t) of the unknown state; where denoising The specific method of preprocessing is as follows: Since the ECG energy is mainly concentrated in 0-40Hz, the ECG signal is filtered through a 40Hz zero-phase FIR low-pass filter to eliminate high-frequency noise, and then a median filter is used to remove baseline drift;
(2)、将RRI信号x(t)作为原始信号,原始信号x(t)所需最少数据量N=2 n+1,其中n为分解出的极值模态函数分量的数量;求出原始信号的所有局部极值点,然后将原始信号的所有极大值点和所有极小值点采用样条曲线连起来分别形成上包络线e max和下包络线e min,得到上、下包络线的包络均值信号m(t)=(e max+e min)/2; (2) Taking the RRI signal x(t) as the original signal, the minimum amount of data required for the original signal x(t) is N=2 n+1 , where n is the number of decomposed extreme modal function components; find All the local extreme points of the original signal, and then all the maximum points and all the minimum points of the original signal are connected by a spline curve to form the upper envelope e max and the lower envelope e min , and the upper and lower envelopes e min are obtained. The envelope mean signal of the lower envelope m(t)=(e max + e min )/2;
(3)、将原始信号x(t)减去包络均值信号m(t),得到h(t)=x(t)-m(t);然后判断h(t)是否满足极值模态函数的判定条件,如果不满足,将h(t)作为原始信号返回至步骤(2),直到h k(t)满足极值模态函数的判定条件,则记c 1(t)=h k(t),作为第一个极值模态函数分量;其中极值模态函数的判定条件为:(a)、在整个数据序列中,极值点的数量与过零点的数量相等或者相差一个;(b)、在任意时刻,上下包络线对于时间轴对称; (3) Subtract the envelope mean signal m(t) from the original signal x(t) to obtain h(t)=x(t)-m(t); then judge whether h(t) satisfies the extreme mode If the judgment condition of the function is not met, return h(t) as the original signal to step (2) until h k (t) satisfies the judgment condition of the extreme modal function, then write c 1 (t) = h k (t), as the first extreme value modal function component; among them, the judging condition of the extreme value modal function is: (a). In the whole data sequence, the number of extreme points is equal to the number of zero crossing points or one difference ; (B). At any moment, the upper and lower envelopes are symmetrical to the time axis;
(4)、将原始信号x(t)减去第一个极值模态函数分量c 1(t),得到余量r 1(t)=x(t)-c 1(t),然后判断h k(t)是否满足停止准则,如果不满足,将r 1(t)作为新的原始序列x(t),返回至步骤(2)和(3);如果h k(t)满足停止准则但n<8时,返回步骤(1)重新获取原始信号;如果h k(t)满足停止准则且n≥8时,得到第2、3、…、n个极值模态函数分量及余量r n(t),于是将原始信号x(t)分解为n个极值模态函数分量和一个余量,即 (4) Subtract the first extremum modal function component c 1 (t) from the original signal x(t) to obtain the margin r 1 (t) = x(t)-c 1 (t), and then judge Whether h k (t) meets the stopping criterion, if not, take r 1 (t) as the new original sequence x(t), and return to steps (2) and (3); if h k (t) meets the stopping criterion But when n<8, return to step (1) to obtain the original signal again; if h k (t) meets the stopping criterion and n≥8, the second, third, ..., nth extreme modal function components and margins are obtained r n (t), then the original signal x(t) is decomposed into n extreme value modal function components and a margin, namely
Figure PCTCN2019121416-appb-000004
Figure PCTCN2019121416-appb-000004
其中h k(t)满足停止准则公式为: Where h k (t) satisfies the stopping criterion formula:
Figure PCTCN2019121416-appb-000005
ε表示筛选门限,取0.2~0.3之间;满足停止准则的极值模态分解则满足如下两个条件:(a)最后得到的极值模态函数分量c n(t)或者余量r n(t)小于预先设定的阈值;(b)残余信号r n(t)成为单调信号,不能从中再提取出极值模态函数信号;
Figure PCTCN2019121416-appb-000005
ε represents the screening threshold, which is between 0.2 and 0.3; the extremum modal decomposition that meets the stopping criterion meets the following two conditions: (a) The final extremum modal function component c n (t) or margin r n (t) is less than the preset threshold; (b) the residual signal r n (t) becomes a monotonic signal, and the extreme modal function signal cannot be extracted from it;
(5)、对极值模态函数分量c i(t),i=1,2,…,n,进行频谱分析得到各极值 模态函数分量的中心频率; (5) Perform frequency spectrum analysis on the extreme value modal function components c i (t), i=1, 2,..., n to obtain the center frequency of each extreme value modal function component;
(6)、将原始信号x(t)分解得的n个极值模态函数分量,代表了原始信号不同频段的分量,然后计算其各个分量的能量(6). The n extreme value modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
E i=∫|c i(t)| 2dt,i=1,2,…,n E i =∫|c i (t)| 2 dt,i=1,2,...,n
将每一个能量值归一化,得到归一化的能量分布向量Normalize each energy value to get a normalized energy distribution vector
p i=E i/E,i=1,2,…,n p i =E i /E,i=1,2,...,n
其中,
Figure PCTCN2019121416-appb-000006
第一个分量p 1表示最高频段的能量,代表了信号在最高频段范围内能量分布的比例,最后一个分量p n表示信号在最低频段范围内能量分布的比例;根据归一化的能量分布向量绘制归一化能量分布图,其中横坐标表示分量层次,纵坐标表示归一化的能量分布向量值,曲线表示平均值,误差棒表示标准差;
among them,
Figure PCTCN2019121416-appb-000006
The first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range; according to the normalized energy distribution vector Draw a normalized energy distribution map, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
(7)、选取第二个分量p 2至第七个分量p 7,计算能量差异值EDV,EDV=(p 2+p 3+p 4)-(p 5+p 6+p 7),当EDV≤第一标准值时,则判定该RRI信号为正常心率变异性信号,当第一标准值<EDV<第二标准值时,则判定该RRI信号为疑似异常心率变异性信号,当EDV≥第二标准值时,则判定该RRI信号为异常心率变异性信号;其中的第一标准值为-0.15,第二标准值为0.08。 (7). Select the second component p 2 to the seventh component p 7 and calculate the energy difference value EDV, EDV=(p 2 +p 3 +p 4 )-(p 5 +p 6 +p 7 ), when When EDV ≤ the first standard value, it is determined that the RRI signal is a normal heart rate variability signal. When the first standard value <EDV <the second standard value, it is determined that the RRI signal is a suspected abnormal heart rate variability signal, when EDV ≥ At the second standard value, it is determined that the RRI signal is an abnormal heart rate variability signal; the first standard value is -0.15, and the second standard value is 0.08.
本发明采用的极值能量分解方法(Extremum Energy Decomposition,EED),其是基于极值模态函数的概念的方法,极值模态函数是同时满足下面两个条件的具有单一频率的一类信号,两个条件为:The extreme energy decomposition method (Extremum Energy Decomposition, EED) adopted by the present invention is a method based on the concept of extreme value modal function, which is a type of signal with a single frequency that satisfies the following two conditions at the same time , The two conditions are:
(a)、在整个数据序列中,极值点(包括极大值和极小值)的数量与过零点的数量必须相等或者最多相差一个;(a) In the entire data sequence, the number of extreme points (including maximum and minimum) and the number of zero-crossing points must be equal or differ by at most one;
(b)在任意时刻,局部极大值点形成的上包络线与局部极小值点形成的下包络线的均值为零,也就是说局部上下包络线对于时间轴局部对称;(b) At any time, the upper envelope formed by the local maximum point and the lower envelope formed by the local minimum point have a mean value of zero, that is to say, the local upper and lower envelopes are locally symmetric with respect to the time axis;
上面两个条件,条件(a)类似于高斯正态平稳过程对于传统窄带的要求,条件(b)保证了由极值模态函数计算得到的瞬时频率有物理意义。The above two conditions, condition (a) is similar to the requirement of Gaussian normal stationary process for traditional narrowband, condition (b) ensures that the instantaneous frequency calculated by the extreme value modal function has physical meaning.
本发明的极值模态函数分解终止的标准选择要适中,条件太严格,会导致最后几个极值模态函数分量失去意义;条件太宽松,会导致有用的分量丢失;在实际应用中,也可以根据需求设定需要分解的极值模态函数分量层数,当满足分解层数时即终止计算。The standard selection for the termination of the extreme value modal function decomposition of the present invention should be moderate. Too strict conditions will cause the last few extreme value modal function components to lose meaning; too loose conditions will cause useful components to be lost; in practical applications, It is also possible to set the number of extreme modal function component levels that need to be decomposed according to requirements, and the calculation is terminated when the decomposition level is satisfied.
实施例1Example 1
将EED分析方法用于分析健康人和CHF患者ECG在不同层次下的能量分布。The EED analysis method is used to analyze the energy distribution of ECG in healthy people and CHF patients at different levels.
健康人的一种基于极值能量分解法的心率变异性信号分析方法,包括如下步骤:A heart rate variability signal analysis method based on extreme energy decomposition method for healthy people includes the following steps:
(1)、从physionet的RR间期数据库nsr2db获取健康人群的ECG信号;其中数据包含54个健康人(年龄28~76,平均61),然后对ECG信号进行去噪预处理,从中提取RRI信号,得到RRI信号x(t);其中去噪预处理的具体方法为:由于ECG能量主要集中在0~40Hz,将ECG信号经过40Hz零相位FIR低通滤波器滤波消除高频噪声,然后经过中值滤波器去除基线漂移;(1) Obtain the ECG signals of healthy people from physionet's RR interval database nsr2db; the data contains 54 healthy people (aged 28-76, average 61), and then denoise the ECG signals and extract RRI signals from them , The RRI signal x(t) is obtained; the specific method of denoising preprocessing is: Since the ECG energy is mainly concentrated in 0-40Hz, the ECG signal is filtered through a 40Hz zero-phase FIR low-pass filter to eliminate high-frequency noise, and then passed through the middle Value filter to remove baseline drift;
(2)、将RRI信号x(t)作为原始信号,原始信号x(t)所需最少数据量N=2 n+1=2 9,其中n为分解出的极值模态函数分量的数量,n=8;求出原始信号的所有局部极值点,然后将原始信号的所有极大值点和所有极小值点采用样条曲线连起来分别形成上包络线e max和下包络线e min,得到上、下包络线的包络均值信号m(t)=(e max+e min)/2; (2) Taking the RRI signal x(t) as the original signal, the minimum amount of data required for the original signal x(t) is N = 2 n+1 = 2 9 , where n is the number of decomposed extreme modal function components , N=8; find all the local extreme points of the original signal, and then connect all the maximum points and all the minimum points of the original signal with a spline curve to form the upper envelope e max and the lower envelope respectively Line e min to obtain the envelope mean signal m(t)=(e max +e min )/2 of the upper and lower envelopes;
(3)、将原始信号x(t)减去包络均值信号m(t),得到h(t)=x(t)-m(t);然后判断h(t)是否满足极值模态函数的判定条件,如果不满足,将h(t)作为原始信号返回至步骤(2),直到h k(t)满足极值模态函数的判定条件,则记c 1(t)=h k(t),作为第一个极值模态函数分量;其中极值模态函数的判定条件为:(a)、在整个数据序列中,极值点的数量与过零点的数量相等或者相差一个;(b)、在任意时刻,上下包络线对于时间轴对称; (3) Subtract the envelope mean signal m(t) from the original signal x(t) to obtain h(t)=x(t)-m(t); then judge whether h(t) satisfies the extreme mode If the judgment condition of the function is not met, return h(t) as the original signal to step (2) until h k (t) satisfies the judgment condition of the extreme modal function, then write c 1 (t) = h k (t), as the first extreme value modal function component; among them, the judging condition of the extreme value modal function is: (a). In the whole data sequence, the number of extreme points is equal to the number of zero crossing points or one difference ; (B). At any moment, the upper and lower envelopes are symmetrical to the time axis;
(5)、将原始信号x(t)减去第一个极值模态函数分量c 1(t),得到余量r 1(t)=x(t)-c 1(t),将r 1(t)作为新的原始序列x(t),返回至步骤(2)和(3),得到第2、3、…、8个极值模态函数分量及余量r 8(t),于是将原始信号x(t)分解为8个极值模态函数分量和一个余量,即 (5). Subtract the first extremum modal function component c 1 (t) from the original signal x(t) to get the margin r 1 (t) = x(t)-c 1 (t), and replace r 1 (t) as the new original sequence x(t), return to steps (2) and (3) to obtain the second, third,..., and eighth extreme modal function components and the margin r 8 (t), Then the original signal x(t) is decomposed into 8 extreme value modal function components and a margin, namely
Figure PCTCN2019121416-appb-000007
Figure PCTCN2019121416-appb-000007
得到如图6所示的健康人的极值模态分解示意图,可以看到分量1具有最高的频率,信号在最短的时间尺度上波动,随着分量序号增加,频率逐渐降低;Obtain the extremum modal decomposition diagram of a healthy person as shown in Figure 6, and it can be seen that component 1 has the highest frequency, and the signal fluctuates on the shortest time scale. As the component number increases, the frequency gradually decreases;
(6)、对极值模态函数分量c i(t),i=1,2,…,8,进行频谱分析得到各极值模态函数分量的中心频率,得到频域分析结果图; (6) Perform spectrum analysis on the extreme value modal function components c i (t), i = 1, 2, ..., 8, and obtain the center frequency of each extreme value modal function component, and obtain the frequency domain analysis result diagram;
(7)、将原始信号x(t)分解得的8个极值模态函数分量,代表了原始信号不同频段的分量,然后计算其各个分量的能量(7). The 8 extreme modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
E i=∫|c i(t)| 2dt,i=1,2,…,8 E i =∫|c i (t)| 2 dt,i=1,2,…,8
将每一个能量值归一化,得到归一化的能量分布向量Normalize each energy value to get a normalized energy distribution vector
p i=E i/E,i=1,2,…,8 p i =E i /E,i=1,2,…,8
其中,
Figure PCTCN2019121416-appb-000008
第一个分量p 1表示最高频段的能量,代表了信号在最高频段范围内能量分布的比例,最后一个分量p n表示信号在最低频段范围内能量分布的比例。
among them,
Figure PCTCN2019121416-appb-000008
The first component p 1 represents the energy of the highest frequency band, and represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency band.
(8)、选取第二个分量p 2至第七个分量p 7,计算能量差异值EDV,EDV=(p 2+p 3+p 4)-(p 5+p 6+p 7)=-0.2092±0.2940。 (8). Select the second component p 2 to the seventh component p 7 and calculate the energy difference value EDV, EDV=(p 2 +p 3 +p 4 )-(p 5 +p 6 +p 7 )=- 0.2092±0.2940.
CHF患者的一种基于极值能量分解法的心率变异性信号分析方法,包括如下步骤:A heart rate variability signal analysis method based on extreme energy decomposition method for CHF patients includes the following steps:
(1)、从physionet的RR间期数据库chf2db数据库获取ECG信号,其中chfdb数据库包含29个充血性心衰(Congestive Heart Failure,CHF)患者(年龄34~79,平均55),然后对ECG信号进行去噪预处理,从中提取RRI信号,得到RRI信号x(t);其中去噪预处理的具体方法为:由于ECG能量主要集中在0~40Hz,将ECG信号经过40Hz零相位FIR低通滤波器滤波消除高频噪声,然后经过中值滤波器去除基线漂移;(1). Acquire ECG signals from physionet's RR interval database chf2db database. The chfdb database contains 29 congestive heart failure (CHF) patients (age 34-79, average 55), and then perform ECG signal analysis. Denoising preprocessing, extract the RRI signal from it, and get the RRI signal x(t); the specific method of denoising preprocessing is: Since the ECG energy is mainly concentrated in 0-40Hz, the ECG signal is passed through a 40Hz zero-phase FIR low-pass filter Filter to eliminate high-frequency noise, and then pass through a median filter to remove baseline drift;
(2)、将RRI信号x(t)作为原始信号,原始信号x(t)所需最少数据量N=2 n+1=2 9,其中n为分解出的极值模态函数分量的数量,n=8;求出原始信号的所有局部极值点,然后将原始信号的所有极大值点和所有极小值点采用样条曲线连起来分别形成上包络线e max和下包络线e min,得到上、下包络线的包络均值信号m(t)=(e max+e min)/2; (2) Taking the RRI signal x(t) as the original signal, the minimum amount of data required for the original signal x(t) is N = 2 n+1 = 2 9 , where n is the number of decomposed extreme modal function components , N=8; find all the local extreme points of the original signal, and then connect all the maximum points and all the minimum points of the original signal with a spline curve to form the upper envelope e max and the lower envelope respectively Line e min to obtain the envelope mean signal m(t)=(e max +e min )/2 of the upper and lower envelopes;
(3)、将原始信号x(t)减去包络均值信号m(t),得到h(t)=x(t)-m(t);然后判断h(t)是否满足极值模态函数的判定条件,如果不满足,将h(t)作为原始信号返回至步骤(2),直到h k(t)满足极值模态函数的判定条件,则记c 1(t)=h k(t),作为第一个极值模态函数分量;其中极值模态函数的判定条件为:(a)、在整个数据序列中,极值点的数量与过零点的数量相等或者相差一个;(b)、在任意时刻,上下包络线对于时间轴对称; (3) Subtract the envelope mean signal m(t) from the original signal x(t) to obtain h(t)=x(t)-m(t); then judge whether h(t) satisfies the extreme mode If the judgment condition of the function is not met, return h(t) as the original signal to step (2) until h k (t) satisfies the judgment condition of the extreme modal function, then write c 1 (t) = h k (t), as the first extreme value modal function component; among them, the judging condition of the extreme value modal function is: (a). In the whole data sequence, the number of extreme points is equal to the number of zero crossing points or one difference ; (B). At any moment, the upper and lower envelopes are symmetrical to the time axis;
(4)、将原始信号x(t)减去第一个极值模态函数分量c 1(t),得到余量r 1(t)=x(t)-c 1(t),将r 1(t)作为新的原始序列x(t),返回至步骤(2)和(3),得到第2、3、…、8个极值模态函数分量及余量r 8(t),于是将原始信号x(t)分解为8个极值模态函数分量和一个余量,即 (4). Subtract the first extremum modal function component c 1 (t) from the original signal x(t) to obtain the margin r 1 (t) = x(t)-c 1 (t), and replace r 1 (t) as the new original sequence x(t), return to steps (2) and (3) to obtain the second, third,..., and eighth extreme modal function components and the margin r 8 (t), Then the original signal x(t) is decomposed into 8 extreme value modal function components and a margin, namely
Figure PCTCN2019121416-appb-000009
Figure PCTCN2019121416-appb-000009
(5)、对极值模态函数分量c i(t),i=1,2,…,8,进行频谱分析得到各极值模态函数分量的中心频率; (5) Perform spectrum analysis on the extreme value modal function components c i (t), i = 1, 2, ..., 8, and obtain the center frequency of each extreme value modal function component;
(6)、将原始信号x(t)分解得的8个极值模态函数分量,代表了原始信号不同频段的分量,然后计算其各个分量的能量(6). The 8 extreme modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
E i=∫|c i(t)| 2dt,i=1,2,…,8 E i =∫|c i (t)| 2 dt,i=1,2,…,8
将每一个能量值归一化,得到归一化的能量分布向量Normalize each energy value to get a normalized energy distribution vector
p i=E i/E,i=1,2,…,8 p i =E i /E,i=1,2,…,8
其中,
Figure PCTCN2019121416-appb-000010
第一个分量p 1表示最高频段的能量,代表了信号在最高频段范围内能量分布的比例,最后一个分量p n表示信号在最低频段范围内能量分布的比例;根据健康人和CHF患者的归一化的能量分布向量绘制归一化能量分布图,其中横坐标表示分量层次,纵坐标表示归一化的能量分布向量值,曲线表示平均值,误差棒表示标准差;
among them,
Figure PCTCN2019121416-appb-000010
The first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range; according to the return of healthy people and CHF patients A normalized energy distribution map is drawn with the unified energy distribution vector, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
(7)、选取第二个分量p 2至第七个分量p 7,计算能量差异值EDV,EDV=(p 2+p 3+p 4)-(p 5+p 6+p 7)=0.2642±0.4070。 (7). Select the second component p 2 to the seventh component p 7 and calculate the energy difference value EDV, EDV=(p 2 +p 3 +p 4 )-(p 5 +p 6 +p 7 )=0.2642 ±0.4070.
本发明为了进一步分析了健康人和CHF患者HRV信号不同层次分量的平均中心频率,得到表1的结果。In order to further analyze the average center frequencies of the HRV signals of healthy people and CHF patients at different levels, the present invention obtains the results in Table 1.
表1 健康人和CHF患者HRV信号不同分量层次的平均中心频率Table 1 Average center frequencies of HRV signals of healthy people and CHF patients at different component levels
Figure PCTCN2019121416-appb-000011
Figure PCTCN2019121416-appb-000011
可以得出随着分量层次增加HRV的中心频率逐渐降低。It can be concluded that the center frequency of HRV gradually decreases as the component level increases.
传统的功率谱密度(Power Spectral Density,PSD)方法对频域分割的典型方式为:HF(0.15~0.4Hz),LF(0.04~0.15Hz),VLF(0.0033~0.04Hz)。本发明EED方法对分量层次1,频率高于HF;层次2在HF的频率范围;层次3、4在LF的范围;层次5~7在VLF的频率范围;层次8低于VLF。另外可以看到相同层次时CHF患者的频率略高于健康人,反应了心脏疾病对HRV波动节律的影响,同样层次下CHF患者HRV波动更快。The typical methods of traditional Power Spectral Density (PSD) method for frequency domain segmentation are: HF (0.15 ~ 0.4 Hz), LF (0.04 ~ 0.15 Hz), VLF (0.0033 ~ 0.04 Hz). For component level 1, the frequency of the EED method of the present invention is higher than HF; level 2 is in the frequency range of HF; levels 3 and 4 are in the range of LF; levels 5-7 are in the frequency range of VLF; and level 8 is lower than VLF. In addition, it can be seen that the frequency of CHF patients at the same level is slightly higher than that of healthy people, which reflects the influence of heart disease on HRV fluctuation rhythm. At the same level, HRV fluctuates faster in CHF patients.
本发明将二个群体的HRV信号分解得的极值模态函数分量C i(t),计算获得归一化能量分布向量,并作EED曲线图,如图7所示。图7为健康人和CHF患者RR间期信 号EED分析结果示意图,其中数据长度为10000点,曲线表示均值,误差棒表示标准差。曲线上方的符号*表示两组人群能量T检验p<0.01。在层次选择上,去除了层次1和高于7的层次,包括余量。层次1容易受到噪声的影响,导致能量较大的波动,引起结果标准差过大,并且其频率可高至几kHz以上,因而没有明确的生理意义;高于7的层次反应了信号的长时节律,非常容易受到外界环境的影响,并且其频率很低,生理意义不明。图7中在分量低层次(层次2、3)上,CHF患者的归一化能量值明显高于健康人,在分量高层次(层次>5)上,发生相反的变化,健康人能量高于CHF患者能量;健康人能量在层次2~5比较平稳,层次大于5时,能量缓慢上升,而CHF患者在层次2~4迅速下降,之后趋于稳定;在4个层次(2、3、6、7)上,二者能量有显著性区别(p<0.01)。为了对比,本发明增加了替代数据(Healthy Surrogate,CHF Surrogate)的EED分析结果,如图7所示,替代数据是通过将原始数据随机化的方法生成,替代数据的能量分布随着尺度增加单调下降,相比较CHF患者,在小时间尺度上能量更高,在长时间尺度上能量更低。 In the present invention, the extreme value modal function components C i (t) obtained by decomposing the HRV signals of the two groups are calculated to obtain the normalized energy distribution vector, and the EED curve is drawn, as shown in FIG. 7. Figure 7 is a schematic diagram of EED analysis results of RR interval signals in healthy people and CHF patients. The data length is 10000 points, the curve represents the mean value, and the error bar represents the standard deviation. The symbol * above the curve indicates that the energy T test p<0.01 of the two groups of people. In the selection of levels, levels 1 and higher than 7, including margins, are removed. Level 1 is easily affected by noise, leading to large fluctuations in energy, causing excessive standard deviation of the results, and its frequency can be as high as several kHz, so it has no clear physiological significance; levels higher than 7 reflect the long-term signal Rhythm is very susceptible to the influence of the external environment, and its frequency is very low, and its physiological significance is unknown. In Figure 7, at the low-weight level (levels 2, 3), the normalized energy value of CHF patients is significantly higher than that of healthy people, and at the high-weight level (level>5), the opposite changes occur, and the energy of healthy people is higher than that of healthy people. Energy of CHF patients; healthy people's energy is relatively stable at levels 2 to 5. When the level is greater than 5, energy rises slowly, while CHF patients decline rapidly at levels 2 to 4, and then stabilize; in 4 levels (2, 3, 6 , 7), there is a significant difference in energy between the two (p<0.01). For comparison, the present invention adds the EED analysis results of surrogate data (Healthy Surrogate, CHF Surrogate). As shown in Figure 7, the surrogate data is generated by randomizing the original data. The energy distribution of the surrogate data is monotonous as the scale increases. Decrease, compared with CHF patients, the energy is higher on a small time scale, and energy is lower on a long time scale.
为了评估EED曲线在低层次和高层次分解上的能量分布差异,计算各人群的能量差异值EDV,高的EDV值表示RRI信号更高的分量低层次能量分布和更低的分量高层次能量分布。计算得到健康人、CHF患者以及他们替代数据的EDV值,如表2所示。In order to evaluate the energy distribution difference between the low-level and high-level decomposition of the EED curve, the energy difference value EDV of each group is calculated. A high EDV value indicates a higher component low-level energy distribution and a lower component high-level energy distribution of the RRI signal. . The EDV values of healthy people, CHF patients and their replacement data are calculated, as shown in Table 2.
表2 健康人和CHF患者的EDV值Table 2 EDV values of healthy people and CHF patients
Figure PCTCN2019121416-appb-000012
Figure PCTCN2019121416-appb-000012
*代表健康人和CHF患者T检验结果p<0.0001。*Represents the T test results of healthy people and CHF patients p<0.0001.
**代表替代数据与其原始数据T检验结果p<0.0001。**Represents the result of T test between the alternative data and its original data p<0.0001.
从表2可以看出,健康人和CHF患者EDV值具有显著的差别,CHF患者EDV值比健康人高很多。健康人的EDV值小于0,说明在分量高层次有更高的能量,预示着高层次分量有着更高的调节强度。两个人群的EDV值与他们的替代数据EDV值均有显著性差别,人体HRV的EDV明显小于随机序列。It can be seen from Table 2 that the EDV value of healthy people and CHF patients are significantly different, and the EDV value of CHF patients is much higher than that of healthy people. The EDV value of a healthy person is less than 0, indicating that there is higher energy in the high-level component, which indicates that the high-level component has a higher adjustment intensity. The EDV values of the two populations are significantly different from their surrogate data EDV values, and the EDV of human HRV is significantly smaller than the random sequence.
心率变异性(HRV)是指测量连续心动周期之间的时间变异数,准确地说,应该是测量连续出现的正常P-P间期之间的差异的变异数。但由于P波不如R波明显或P波顶端有时宽钝,所以对心率变异性信号的研究通常用与P-P间期相等的R-R间期信号(RRI)来代替。研究表明,HRV可做为植物神经系统活动的无创性检测指标,尤其在判断某些心血管疾病的预后方面有着重要意义。Heart rate variability (HRV) refers to the measurement of the time variability between consecutive cardiac cycles, to be precise, it should be the measurement of the variance of the difference between the normal P-P intervals that occur continuously. However, because the P wave is not as obvious as the R wave or the top of the P wave is sometimes wide and blunt, the research on the heart rate variability signal is usually replaced by the R-R interval signal (RRI) equal to the P-P interval. Studies have shown that HRV can be used as a non-invasive detection indicator of autonomic nervous system activity, especially in judging the prognosis of certain cardiovascular diseases.
在临床与实际应用中,本发明提出可采用512(n=8)个连续RR间期的短时心搏信号用于上述的EED分析是有效的,并有一定的数据余量;由上述研究表明,EED分解达到7个分量层次(n=7)已有很好的结果,则所需数据量最少可取N=2 n+1=2 7+1=256。 In clinical and practical applications, the present invention proposes that 512 (n=8) continuous RR intervals of short-term heartbeat signals can be used for the above-mentioned EED analysis to be effective, and there is a certain amount of data margin; from the above-mentioned research It shows that the EED decomposition reaches 7 component levels (n=7) with good results, and the required amount of data can be at least N=2 n+1 =2 7+1 =256.

Claims (6)

  1. 一种基于极值能量分解法的心率变异性信号分析方法,其特征在于,包括如下步骤:A heart rate variability signal analysis method based on extreme energy decomposition method is characterized in that it comprises the following steps:
    (1)、获取给定时间和给定采样频率下的未知状态的ECG信号,然后对ECG信号进行去噪预处理,从中提取RRI信号,得到未知状态的RRI信号x(t);(1) Obtain the ECG signal of the unknown state at a given time and a given sampling frequency, and then perform denoising preprocessing on the ECG signal, extract the RRI signal from it, and obtain the RRI signal x(t) of the unknown state;
    (2)、将RRI信号x(t)作为原始信号,求出原始信号的所有局部极值点,然后将原始信号的所有极大值点和所有极小值点采用样条曲线连起来分别形成上包络线e max和下包络线e min,得到上、下包络线的包络均值信号m(t)=(e max+e min)/2; (2) Take the RRI signal x(t) as the original signal, find all the local extreme points of the original signal, and then connect all the maximum points and all the minimum points of the original signal using spline curves to form them respectively The upper envelope e max and the lower envelope e min are used to obtain the envelope mean signal m(t)=(e max +e min )/2 of the upper and lower envelopes;
    (3)、将原始信号x(t)减去包络均值信号m(t),得到h(t)=x(t)-m(t);然后判断h(t)是否满足极值模态函数的判定条件,如果不满足,将h(t)作为原始信号返回至步骤(3),直到h k(t)满足极值模态函数的判定条件,则记c 1(t)=h k(t),作为第一个极值模态函数分量; (3) Subtract the envelope mean signal m(t) from the original signal x(t) to obtain h(t)=x(t)-m(t); then judge whether h(t) satisfies the extreme mode If the judgment condition of the function is not met, return h(t) as the original signal to step (3) until h k (t) meets the judgment condition of the extreme modal function, then write c 1 (t) = h k (t), as the first extreme value modal function component;
    (4)、将原始信号x(t)减去第一个极值模态函数分量c 1(t),得到余量r 1(t)=x(t)-c 1(t),然后判断h k(t)是否满足停止准则,如果不满足,将r 1(t)作为新的原始序列x(t),返回至步骤(2)和(3);如果h k(t)满足停止准则但n<8时,返回步骤(1)重新获取原始信号;如果h k(t)满足停止准则且n≥8时,得到第2、3、…、n个极值模态函数分量及余量r n(t),于是将原始信号x(t)分解为n个极值模态函数分量和一个余量,即 (4) Subtract the first extremum modal function component c 1 (t) from the original signal x(t) to obtain the margin r 1 (t) = x(t)-c 1 (t), and then judge Whether h k (t) meets the stopping criterion, if not, take r 1 (t) as the new original sequence x(t), and return to steps (2) and (3); if h k (t) meets the stopping criterion But when n<8, return to step (1) to obtain the original signal again; if h k (t) meets the stopping criterion and n≥8, the second, third, ..., nth extreme modal function components and margins are obtained r n (t), then the original signal x(t) is decomposed into n extreme value modal function components and a margin, namely
    Figure PCTCN2019121416-appb-100001
    Figure PCTCN2019121416-appb-100001
    (5)、对极值模态函数分量c i(t),i=1,2,…,n,进行频谱分析得到各极值模态函数分量的中心频率; (5) Perform frequency spectrum analysis on the extreme value modal function components c i (t), i=1, 2,..., n to obtain the center frequency of each extreme value modal function component;
    (6)、将原始信号x(t)分解得的n个极值模态函数分量,代表了原始信号不同频段的分量,然后计算其各个分量的能量(6). The n extreme value modal function components decomposed from the original signal x(t) represent the components of the original signal in different frequency bands, and then the energy of each component is calculated
    E i=∫|c i(t)| 2dt,i=1,2,…,n E i =∫|c i (t)| 2 dt,i=1,2,...,n
    将每一个能量值归一化,得到归一化的能量分布向量Normalize each energy value to get a normalized energy distribution vector
    p i=E i/E,i=1,2,…,n p i =E i /E,i=1,2,...,n
    其中,
    Figure PCTCN2019121416-appb-100002
    第一个分量p 1表示最高频段的能量,代表了信号在最高频段范围内能量分布的比例,最后一个分量p n表示信号在最低频段范围内能量分布的比例;根据归一化的能量分布向量绘制归一化能量分布图,其中横坐标表示分量层次,纵坐标表示归一化的能量分布向量值,曲线表示平均值,误差棒表示标准差;
    among them,
    Figure PCTCN2019121416-appb-100002
    The first component p 1 represents the energy of the highest frequency band, which represents the proportion of the energy distribution of the signal in the highest frequency range, and the last component p n represents the proportion of the energy distribution of the signal in the lowest frequency range; according to the normalized energy distribution vector Draw a normalized energy distribution map, where the abscissa represents the component level, the ordinate represents the normalized energy distribution vector value, the curve represents the average value, and the error bar represents the standard deviation;
    (7)、选取第二个分量p 2至第七个分量p 7,计算能量差异值EDV,EDV=(p 2+p 3+p 4)-(p 5+p 6+p 7),当EDV≤第一标准值时,则判定该RRI信号为正常心率变异性信号,当第一标准值<EDV<第二标准值时,则判定该RRI信号为疑似异常心率变异性信号,当EDV≥第二标准值时,则判定该RRI信号为异常心率变异性信号。 (7). Select the second component p 2 to the seventh component p 7 and calculate the energy difference value EDV, EDV=(p 2 +p 3 +p 4 )-(p 5 +p 6 +p 7 ), when When EDV ≤ the first standard value, it is determined that the RRI signal is a normal heart rate variability signal. When the first standard value <EDV <the second standard value, it is determined that the RRI signal is a suspected abnormal heart rate variability signal, when EDV ≥ At the second standard value, it is determined that the RRI signal is an abnormal heart rate variability signal.
  2. 根据权利要求1的一种基于极值能量分解法的心率变异性信号分析方法,其特征在于:所述原始信号x(t)所需最少数据量N=2 n+1,其中n为分解出的极值模态函数分量的数量。 A heart rate variability signal analysis method based on the extreme value energy decomposition method according to claim 1, wherein the minimum amount of data required for the original signal x(t) is N=2 n+1 , where n is the decomposition The number of extreme value modal function components.
  3. 根据权利要求1的一种基于极值能量分解法的心率变异性信号分析方法,其特征在于:所述步骤(1)中去噪预处理的具体方法为:将ECG信号经过40Hz零相位FIR低通滤波器滤波消除高频噪声,然后经过中值滤波器去除基线漂移。A heart rate variability signal analysis method based on extreme energy decomposition method according to claim 1, characterized in that: the specific method of denoising preprocessing in the step (1) is: passing the ECG signal through 40Hz zero phase FIR low The pass filter removes high frequency noise, and then passes through the median filter to remove baseline drift.
  4. 根据权利要求1的一种基于极值能量分解法的心率变异性信号分析方法,其特征在于:所述步骤(3)中极值模态函数的判定条件为:(a)、在整个数据序列中,极值点的数量与过零点的数量相等或者相差一个;(b)、在任意时刻,上下包络线对于时间轴对称。A heart rate variability signal analysis method based on the extreme value energy decomposition method according to claim 1, characterized in that: the determination condition of the extreme value modal function in the step (3) is: (a), in the entire data sequence In, the number of extreme points is equal to or one difference from the number of zero-crossing points; (b). At any moment, the upper and lower envelopes are symmetrical with respect to the time axis.
  5. 根据权利要求1的一种基于极值能量分解法的心率变异性信号分析方法,其特征在于:所述步骤(4)中h k(t)满足停止准则公式为: A heart rate variability signal analysis method based on extreme energy decomposition method according to claim 1, characterized in that: in the step (4), h k (t) satisfies the stopping criterion formula:
    Figure PCTCN2019121416-appb-100003
    ε表示筛选门限,取0.2~0.3之间。
    Figure PCTCN2019121416-appb-100003
    ε represents the screening threshold, which is between 0.2 and 0.3.
  6. 根据权利要求1的一种基于极值能量分解法的心率变异性信号分析方法,其特征在于:所述步骤(7)中的第一标准值为-0.15,第二标准值为0.08。A heart rate variability signal analysis method based on extreme energy decomposition method according to claim 1, wherein the first standard value in the step (7) is -0.15, and the second standard value is 0.08.
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