CN105342594B - Single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring - Google Patents
Single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring Download PDFInfo
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Abstract
The invention provides a kind of single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring, Holistic modeling is carried out using parent electrocardio as a part for Fetal ECG, stomach wall Fetal ECG signal condition spatial model is established from waveform morphology angle, the recurrence estimation of Fetal ECG R ripples and parent electrocardio waveform is realized with Strong tracking filter method, and peak value positioning is carried out to the Fetal ECG R ripples waveform of estimation, so as to obtain Fetal Instantaneous Heart Rate, this method is applied to calculating, fetal heart frequency is directly extracted on the limited local monitoring terminal of storage capacity, it is and simple to operate, pregnant woman completely can be with complete independently monitoring process, improve Consumer's Experience.
Description
Technical field
The present invention relates to fetal monitoring field, and in particular to a kind of single channel maternal abdominal fetus heart for domestic monitoring
Rate robust estimation method.
Background technology
Perinatal period, pregnant woman need periodically to carry out routine foetus health inspection to hospital.For high risk pregnancy pregnant woman, to doctor
Institute checks that number is then more frequent.This kind of pregnant woman goes on a journey inconvenience mostly, and is used as populous nation, and obstetrics of China outpatient is many
It is more.Therefore, fetal heart frequency home monitoring system is developed, pregnant woman can stay indoors and realizes the dynamic monitor of fetus, to alleviate
The pressure of obstetrics outpatient service doctor, high-risk patient trip risk is reduced, be the key subjects of current mother and baby's monitoring arts research.
At present, the fetal heart frequency based on doppler ultrasound (fetal heart rate, FHR) monitoring is that clinically fetus is good for
The basic fundamental means of health inspection.However, the Fetal Heart Rate Monitoring mode based on supersonic sounding is very sensitive to the position of foetus, it is necessary to will visit
Head is directed at heart of fetus valve in real time, it usually needs specialist is operated.And this mode belongs to active detection, to tire
Youngster's health exist it is potentially hazardous, one-time continuous monitoring the time be usually not more than in half an hour.Above-mentioned factor, limit Doppler and surpass
Application of the sound Fetal Heart Rate Monitoring in home telemonitoring.
The fetus heart is realized from pregnant woman's stomach wall collection heart of fetus electric signal (fetal electro-cardiogram, FECG)
Rate is guarded, simple to operate due to completely noninvasive, can at any time be carried out in whole perinatal period, is the fetus for being best suited for remote domestic
Noninvasive monitoring method.But Fetal ECG causes the FECG that stomach wall gathers to believe by being transmitted by a variety of muscle layer tissues to body surface
Make an uproar than extremely low, the interference such as its frequency spectrum and parent electrocardio signal (Maternal ECG, MECG), electrode contact noise, myoelectricity noise
The big portion of signal is overlapping, separation and Extraction Fetal ECG nomography complex.This cause current Embryo long-range guardianship also need to by
Stomach wall FECG is transferred to monitor center and is analyzed and handled, then the fetal heart frequency of extraction is back into client.It is whole
Individual monitoring process is, it is necessary to which real-time access to communication networks, system realize complexity, and resource consumption is big, and cost is high.And pregnant woman is completely sudden and violent
It is exposed in electromagnetic environment, poor user experience, is not easy to be received by user.
Separation and Extraction goes out the warp that faint Fetal ECG composition is electricity physiological signal process field from maternal abdominal electrocardio
Allusion quotation problem, it experienced from initial adaptive noise cancellation to singular value decomposition (SVD) i.e. pivot analysis (PCA), independent entry
" total blindness " that (ICA) is representative is analyzed to separate, then to be recently proposed to constrain ICA, cycle meta analysis (PICA) is representative
The research process of " half-blindness " separation.Move due to itself amplitude of stomach wall FECG faint (lower 10 to 30 times than parent interference) and by between fighting
State changes (including heart rate, waveform morphology), once Fetal ECG is completely covered by parent QRS complex, existing separation method is usual
Very poor robustness is shown, the deep fades of Fetal ECG is frequently resulted in, even disappears completely.Meanwhile existing extraction side
Method needs to be acquired the redundant configuration of passage, causes complex operation, and pregnant woman needs layman's cooperation is lower could complete fetal monitoring
Process.
The content of the invention
The application by providing a kind of single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring, with
Solves the noninvasive monitor system realization complexity of remote domestic fetus in the prior art, resource consumption is big, and poor robustness and operation are multiple
Caused by miscellaneous pregnant woman can not complete independently monitoring technical problem.
In order to solve the above technical problems, the application is achieved using following technical scheme:
A kind of single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring, comprise the following steps:
S1:Signal Pretreatment:The electrocardiosignal of stomach wall fetus is pre-processed, to remove the drift of the baseline in electrocardiosignal
Shifting and Hz noise;
S2:The state-space model of single channel stomach wall Fetal ECG signal is built, initializes to obtain mould by systematic parameter
The initial value of relevant parameter needed for type;
S3:Strong tracking waveform is estimated:According to the state-space model of Fetal ECG signal and the model parameter of extraction, use
Strong tracking filter method, to realize the recurrence estimation of Fetal ECG R ripples and each waveform of parent electrocardio;
S4:Fetus R ripples position:Using recursive Kalman filtering method, R fluctuation state positioning is realized, so as to obtain fetus wink
When heart rate;
Wherein, the method that the state-space model of single channel stomach wall Fetal ECG signal is built in step S2 is as follows:
First, the part using parent electrocardio as Fetal ECG, a kind of Fetal ECG signal dynamics of six states are built
Model:
In formula,For the instantaneous phase of k moment Fetal ECGs,For the instantaneous heart rate of k moment Fetal ECGs,For
The instantaneous phase of k moment parent electrocardios,For the instantaneous heart rate of k moment parent electrocardios, δ is sampling time interval, the k+1 moment
Fetal ECG R ripples are modeled with a Gaussian function, are expressed as Rk+1,Point
Not Wei Fetal ECG R ripples correspond to amplitude, width and the center of gaussian kernel function, k+1 moment parent electrocardio P ripples and T wavelength-divisions
It is not modeled with two gaussian kernel functions, is expressed as Pk+1And Tk+1, k+1 moment parent electrocardios QRS complex uses three Gausses
Kernel function is modeled, and is expressed as Ck+1, αi,kAnd bi,k, i ∈ { P1,P2,Q,R,S,T1,T2It is respectively each waveform of parent electrocardio
The amplitude and width of corresponding gaussian kernel function,Respectively
The center of gaussian kernel function is corresponded to for each waveform of parent electrocardio,For Gaussian noise;
The observation model for obtaining system by the Fetal ECG signal dynamics model is:
In formula,Noise is measured for Fetal ECG phase,Noise, S are measured for parent electrocardio phasekFor the fetus heart
Electric signal measurement sample, υS,kTo measure noise;
Make XkRepresent state vector, YkRepresent observation vector, UkRepresent system noise, VkRepresent to measure noise, function f and g
System equation and observational equation are described respectively, then the state-space model of stomach wall Fetal ECG signal is:
The present invention is estimated as target with fetal heart frequency, the position of fetus R ripples need to be only tracked, therefore, only with regard to Fetal ECG R ripples
Modeling, described with single gaussian kernel function, but for stomach wall FECG, by the position of foetus, gestational age, uterine myoelectricity and electrode
Larger change, especially P ripples, T ripples between by shooting generally be present in the influence of the factors such as configuration, parent electrocardio waveform.In order to
The preferably dynamic change of tracking parent electrocardio waveform, the present invention is classified as P ripples, three parts of QRS complex waves and T ripples are entered respectively
Row modeling, and expand in state vector, corresponding waveform parameter is constrained with this, so as to build a kind of Fetal ECG of six states
Signal dynamics model.
Further, systematic parameter initialization is to carry out the premise of waveform estimation, that is, determines disposal and the side of state vector
Difference and the average and variance of system noise and observation noise, in step S2 systematic parameter initialization include parent population parameter and initialize
With fetus parameter initialization, wherein, parent population parameter initialization specifically include:R ripple spies are carried out to the electrocardiosignal after pretreatment
Survey, obtain parent instantaneous heart rateAverage and variance, while electrocardiosignal is converted into phase field from time domain, so as to obtain
The instantaneous phase of parent electrocardioThe height that the average heart of parent is clapped and the average heart is clapped is obtained with single channel singular value decomposition method
This nuclear parameter;
Fetus parameter initialization specifically includes:Removed from the electrocardiosignal after pretreatment the parent electrocardio of extraction into
Point, obtain Fetal ECG according to a preliminary estimate, then R ripple detections are carried out, obtain fetal heart frequencyAverage and variance, while by electrocardio
Signal is converted to phase field from time domain, so as to obtain the instantaneous phase of Fetal ECGWith single channel singular value decomposition side
Method obtains the Gauss nuclear parameter that the average heart of fetus is clapped and the average heart is clapped.
Because single-channel electrodes allocation plan needs to change with position of foetus situation, and the fetus heart that different electrode positions obtain
Electrical parameter is widely different.Under normal circumstances, single channel Fetal Heart Rate Monitoring is carried out every time, is required for carrying out the initial of systematic parameter
Change.But because the parameter initialization time is short, generally only about 10 hearts are needed to clap, so only existing 10 seconds or so in the incipient stage
Time delay, after electrode configuration is stable, you can realize On-line Estimation, algorithm real-time is unaffected.Therefore, as a kind of preferable
Technical scheme, the electrocardiogram (ECG) data of 10 seconds is chosen in step S22 in systematic parameter initialization procedure.
From the state-space model of stomach wall Fetal ECG signal, system dynamics model has obvious non-linear.
When said system model has enough precision, EKF filter (Extended Kalman Filtering, EKF) can
To provide more accurately state estimation.Therefore, in the estimation of adult's ecg wave form, tiny characteristic extraction and segmentation, EKF estimates
Meter method obtains in-depth study and application.However, in the processing of stomach wall electrocardio, because fetal in utero rotation etc. causes stomach wall
The perturbation of Fetal ECG model structure, cause Fetal ECG signal dynamics model and described non-linear stomach wall Electrocardiograph not
It can match completely.In addition it is electric caused by the random sexual act of myoelectricity noise, parent caused by its exterior interference noise uterine contractile
The non-stationaries such as pole contact noise.This requires that filtering system possesses very strong adaptive tracing ability, and EKF filter
Electrocardiosignal method for dynamic estimation poor robustness under framework.On the one hand, the rough error that EKF is brought to observation model uncertainty
Interference robust is very poor;On the other hand, when system reaches stable state, its gain tends to minimum, will now lose to being mutated shape
The ability of tracking of state, it is difficult to the processing system model perturbed problem of itself;EKF filter algorithm is to initial parameter simultaneously
Dependence it is also larger.
The uncertain problem of system model in estimating for Nonlinear Dynamic, the present invention use a kind of Strong tracking filter side
Method (Strong Tracking Filter, STF), this method is by introducing the fading factor of time-varying, dynamic regulation gain matrix,
So that wave filter has preferable robustness to model uncertainty and computation complexity is suitable with EKF, so as to improve to the heart
The dynamic tracking capabilities of electrical waveform.
Further, Strong tracking filter method is specially in step S3:
For the nonlinear state equation of the state-space model of Fetal ECG signal, EKF filter recursive estimation
Algorithm is:
In formula,For the priori estimates of state vector,For the posterior estimate of state vector, KkFor adjustable gain
Battle array,For the covariance matrix of prior estimate,For the covariance matrix of Posterior estimator, RkFor observation noise variance, QkFor shape
State noise variance, rkFor the information after renewal, i.e., new breath, Ak、Bk、Ck、DkFor Fetal ECG signal condition spatial model
Jacobin matrixes,
In EKF filter recursive Estimation Algorithm, new breath vector r at different moments is forcedkIt is orthogonal, i.e., it is simultaneously full
The following two equations of foot:
Try to achieve the adjustable gain battle array K for meeting above formulak, you can obtain Strong tracking filter method.
Compared with prior art, the technical scheme that the application provides, the technique effect or advantage having are:Realize single-pass
The robust On-line Estimation of road fetal heart frequency, suitable for calculating, tire directly being extracted on the local monitoring terminal that storage capacity is limited
Youngster's heart rate, while ensure service quality;On the other hand, the electrode configuration of single channel collection is simple to operate, and pregnant woman completely can be only
It is vertical to complete monitoring process, improve Consumer's Experience.
Brief description of the drawings
The fetal heart frequency that Fig. 1 is the present invention estimates flow chart;
Fig. 2 is original stomach wall FECG and scalp FECG comparison diagram;
Fig. 3 is that maternal ecg estimates comparison diagram with scalp FECG EKF waveforms;
Fig. 4 is that maternal ecg estimates comparison diagram with scalp FECG strong tracking waveform;
Fig. 5 is that the scalp Fetal ECG R ripples positioning figure based on strong tracking filter is schemed with the positioning of stomach wall Fetal ECG R ripples
Comparison diagram;
Fig. 6 is scalp Fetal ECG instantaneous heart rate figure and stomach wall Fetal ECG instantaneous heart rate based on strong tracking filter
Figure comparison diagram;
Fig. 7 is stomach wall Fetal Instantaneous Heart Rate figure and scalp Fetal Instantaneous Heart Rate figure based on strong tracking filter;
Fig. 8 is stomach wall Fetal Instantaneous Heart Rate and scalp Fetal Instantaneous Heart Rate comparison diagram based on strong tracking filter;
Fig. 9 is stomach wall Fetal Instantaneous Heart Rate and scalp Fetal Instantaneous Heart Rate dependency graph based on strong tracking filter;
Figure 10 is stomach wall fetal heart frequency and scalp fetal heart frequency segmental averaging comparison diagram based on strong tracking filter;
Figure 11 is that the stomach wall fetal heart frequency based on strong tracking filter contrasts with scalp fetal heart frequency segmental averaging error
Figure.
Embodiment
The embodiment of the present application is by providing a kind of single channel maternal abdominal fetal heart frequency Robust Estimation for domestic monitoring
Method, realize complicated to solve the noninvasive monitor system of remote domestic fetus in the prior art, resource consumption is big, poor robustness and
Caused by complex operation pregnant woman can not complete independently monitoring technical problem.
It is right below in conjunction with Figure of description and specific embodiment in order to be better understood from above-mentioned technical proposal
Above-mentioned technical proposal is described in detail.
Embodiment
A kind of single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring, as shown in figure 1, including such as
Lower step:
S1:Signal Pretreatment:The electrocardiosignal of stomach wall fetus is pre-processed, to remove the drift of the baseline in electrocardiosignal
Shifting and Hz noise;
S2:The state-space model of single channel stomach wall Fetal ECG signal is built, initializes to obtain mould by systematic parameter
The initial value of relevant parameter needed for type;
S3:Strong tracking waveform is estimated:According to the state-space model of Fetal ECG signal and the model parameter of extraction, use
Strong tracking filter method, to realize the recurrence estimation of Fetal ECG R ripples and each waveform of parent electrocardio;
S4:Fetus R ripples position:Using recursive Kalman filtering method, R fluctuation state positioning is realized, so as to obtain fetus wink
When heart rate;
Wherein, the method that the state-space model of single channel stomach wall Fetal ECG signal is built in step S2 is as follows:
The present invention is estimated as target with fetal heart frequency, the position of fetus R ripples need to be only tracked, therefore, only with regard to Fetal ECG R ripples
Modeling, described with single gaussian kernel function, but for stomach wall FECG, by the position of foetus, gestational age, uterine myoelectricity and electrode
Larger change, especially P ripples, T ripples between by shooting generally be present in the influence of the factors such as configuration, parent electrocardio waveform.In order to
The preferably dynamic change of tracking parent electrocardio waveform, the present invention is classified as P ripples, three parts of QRS complex waves and T ripples are entered respectively
Row modeling, and expand in state vector, corresponding waveform parameter is constrained with this, so as to build a kind of Fetal ECG of six states
Signal dynamics model:
In formula,For the instantaneous phase of k moment Fetal ECGs,For the instantaneous heart rate of k moment Fetal ECGs,For k
The instantaneous phase of moment parent electrocardio,For the instantaneous heart rate of k moment parent electrocardios, δ is sampling time interval, the k+1 moment
Fetal ECG R ripples are modeled with a Gaussian function, are expressed as Rk+1,Point
Not Wei Fetal ECG R ripples correspond to amplitude, width and the center of gaussian kernel function, k+1 moment parent electrocardio P ripples and T wavelength-divisions
It is not modeled with two gaussian kernel functions, is expressed as Pk+1And Tk+1, k+1 moment parent electrocardios QRS complex uses three Gausses
Kernel function is modeled, and is expressed as Ck+1, αi,kAnd bi,k, i ∈ { P1,P2,Q,R,S,T1,T2It is respectively each waveform of parent electrocardio
The amplitude and width of corresponding gaussian kernel function,Respectively
The center of gaussian kernel function is corresponded to for each waveform of parent electrocardio,For Gaussian noise;
The observation model for obtaining system by the Fetal ECG signal dynamics model is:
In formula,Noise is measured for Fetal ECG phase,Noise, S are measured for parent electrocardio phasekFor the fetus heart
Electric signal measurement sample, υS,kTo measure noise;
It can be seen that the observation model of system is linear model, and dynamic model is nonlinear model, makes XkExpression state is sweared
Amount, YkRepresent observation vector, UkRepresent system noise, VkRepresent to measure noise, function f and g describe system equation and observation respectively
Equation, then the state-space model of stomach wall Fetal ECG signal be:
Further, systematic parameter initialization is to carry out the premise of waveform estimation, that is, determines disposal and the side of state vector
Difference and the average and variance of system noise and observation noise, it is contemplated that the terseness of parameter initialization algorithm, and initial parameter
Required precision is not high, is intentionally clapped without being precisely separating out, therefore, single channel singular value decomposition SVD side is used in the present embodiment
Method, parent electrocardio and Fetal ECG are extracted, its averaging model is obtained, using static Gaussian function modeling method, so as to obtain height
This nuclear parameter estimate, in step S2 systematic parameter initialization include parent population parameter initialization and fetus parameter initialization, wherein,
Parent population parameter initialization specifically includes:R ripple detections are carried out to the electrocardiosignal after pretreatment, obtain parent instantaneous heart rate
Average and variance, while electrocardiosignal is converted into phase field from time domain, so as to obtain the instantaneous phase of parent electrocardio
The Gauss nuclear parameter that the average heart of parent is clapped and the average heart is clapped is obtained with single channel singular value decomposition method;
Fetus parameter initialization specifically includes:Removed from the electrocardiosignal after pretreatment the parent electrocardio of extraction into
Point, obtain Fetal ECG according to a preliminary estimate, then R ripple detections are carried out, obtain fetal heart frequencyAverage and variance, while by electrocardio
Signal is converted to phase field from time domain, so as to obtain the instantaneous phase of Fetal ECGWith single channel singular value decomposition side
Method obtains the Gauss nuclear parameter that the average heart of fetus is clapped and the average heart is clapped.
Because single-channel electrodes allocation plan needs to change with position of foetus situation, and the fetus heart that different electrode positions obtain
Electrical parameter is widely different.Under normal circumstances, single channel Fetal Heart Rate Monitoring is carried out every time, is required for carrying out the initial of systematic parameter
Change.But because the parameter initialization time is short, generally only about 10 hearts are needed to clap, so only existing 10 seconds or so in the incipient stage
Time delay, after electrode configuration is stable, you can realize On-line Estimation, algorithm real-time is unaffected.Therefore, as a kind of preferable
Technical scheme, the electrocardiogram (ECG) data of 10 seconds is chosen in step S22 in systematic parameter initialization procedure.
From the state-space model of stomach wall Fetal ECG signal, system dynamics model has obvious non-linear.
When said system model has enough precision, EKF filter (Extended Kalman Filtering, EKF) can
To provide more accurately state estimation.Therefore, in the estimation of adult's ecg wave form, tiny characteristic extraction and segmentation, EKF estimates
Meter method obtains in-depth study and application.However, in the processing of stomach wall electrocardio, because fetal in utero rotation etc. causes stomach wall
The perturbation of Fetal ECG model structure, cause Fetal ECG signal dynamics model and described non-linear stomach wall Electrocardiograph not
It can match completely.In addition it is electric caused by the random sexual act of myoelectricity noise, parent caused by its exterior interference noise uterine contractile
The non-stationaries such as pole contact noise.This requires that filtering system possesses very strong adaptive tracing ability, and EKF filter
Electrocardiosignal method for dynamic estimation poor robustness under framework.On the one hand, the rough error that EKF is brought to observation model uncertainty
Interference robust is very poor;On the other hand, when system reaches stable state, its gain tends to minimum, will now lose to being mutated shape
The ability of tracking of state, it is difficult to the processing system model perturbed problem of itself;EKF filter algorithm is to initial parameter simultaneously
Dependence it is also larger.
The uncertain problem of system model in estimating for Nonlinear Dynamic, the present invention use a kind of Strong tracking filter side
Method (Strong Tracking Filter, STF), this method is by introducing the fading factor of time-varying, dynamic regulation gain matrix,
So that wave filter has preferable robustness to model uncertainty and computation complexity is suitable with EKF, so as to improve to the heart
The dynamic tracking capabilities of electrical waveform.
Further, Strong tracking filter method is specially in step S3:
For the nonlinear state equation of the state-space model of Fetal ECG signal, EKF filter recursive estimation
Algorithm is:
In formula,For the priori estimates of state vector,For the posterior estimate of state vector, KkFor adjustable gain
Battle array,For the covariance matrix of prior estimate,For the covariance matrix of Posterior estimator, RkFor observation noise variance, QkFor shape
State noise variance, rkFor the information after renewal, i.e., new breath, Ak、Bk、Ck、DkFor Fetal ECG signal condition spatial model
Jacobin matrixes,
In EKF filter recursive Estimation Algorithm, new breath vector r at different moments is forcedkIt is orthogonal, i.e., it is simultaneously full
The following two equations of foot:
Try to achieve the adjustable gain battle array K for meeting above formulak, you can obtain Strong tracking filter method.
However, for nonlinear system, using orthogonality principle, it is difficult accurate meet to make residual sequence constantly orthogonal.To subtract
Few amount of calculation, generally use approximate data.A kind of suboptimum strong tracking filter of the multiple time-varying fading factor of band is proposed in the present embodiment
Ripple algorithm, past data are faded using the fading factor of time-varying, by the association side for adjusting state forecast error in real time
Poor battle array, to weaken influence of the old data to current filter value.
Predicting covariance battle arrayCalculating process it is as follows:
Λ (k+1)=diag { λ1(k+1),…,λn(k+1)}
In formula, forgetting factor 0.95≤ρ≤0.995.
In order to further verify the remarkable result of the present invention, the present embodiment has carried out further experiment and analysis.
At present, the PostgreSQL database for being available for stomach wall Fetal ECG signal transacting to study has three:Belgian Univ Louvain
The abdomen of Daily databases, the non-invasive Fetal ECG database of Uni de Valencia Estudi Genera of Spain and Polish University of Silesia
Wall and direct Fetal ECG database.The first two database includes some stomach wall Fetal ECG data acquiring and recordings, is the most
Conventional measured data, for verifying the efficiency of Fetal ECG separation and Extraction algorithm.But the two databases are not all to bid
Accurate Fetal ECG waveform or Fetal Instantaneous Heart Rate.This causes the algorithm performance based on measured data to be analyzed also in naked eyes sight
The level examined, the quantitative research of algorithm performance must be realized using artificial synthesized data.
Recently, the database that Polish University of Silesia provides carries out disclosure on Physionet, and the database is given first
The Fetal ECG signal from fetal scalp synchronous recording is gone out, data acquisition is in 5 pregnant woman, without chest electrode, four stomach walls
Electrode is configured centered on navel, and scalp electrode synchronizes collection, sample rate 1KHz, resolution ratio 16, pregnancy period 38-41
Week, record duration 5 minutes.Scalp Fetal ECG directly gathers from fetus body surface, can obtain the Fetal ECG ripple of complete display
Shape, as shown in Fig. 2 can obtain accurate Fetal Instantaneous Heart Rate by positioning R ripples, this is checking stomach wall fetal heart frequency algorithm for estimating
Provide a reference well.Therefore, the present embodiment utilizes stomach wall using scalp Fetal ECG data in the database as reference
Electrocardiogram (ECG) data record just set forth herein fetal heart frequency algorithm for estimating progress quantitative evaluation.
The present embodiment chooses the first passage that Fetal ECG is most weak in No. four record and carries out test of heuristics.Fig. 2 (a), (b)
It sets forth the scalp Fetal ECG waveform of original stomach wall Fetal ECG signal and synchronous acquisition.It can be seen that original abdomen
There is serious myoelectricity noise and baseline drift in wall electrocardio, corresponding with the scalp Fetal ECG signal of synchronous acquisition, can see
Fetal ECG to stomach wall collection is very faint, and the particularly the 3rd to the 6th fetus heart is clapped almost completely by myoelectricity noise and parent
Electrocardio is flooded, as shown in circle in Fig. 2 (a).
EKF recursive Estimation Algorithms and Strong tracking filter first compared with the waveform estimation of parent electrocardio and Fetal ECG R ripples
The performance of algorithm.Fig. 3, Fig. 4 respectively illustrate the comparison diagram of the estimation of stomach wall Fetal ECG EKF waveforms and the estimation of strong tracking waveform.
Display parent electrocardio EKF waveform estimated result figures in Fig. 3 (a).It can see near Fig. 3 sample points 6000, due to the parent heart
Electric QRS complex itself causes the waveform tracking of parent electrocardio and Fetal ECG to occur by the influence of fight change and myoelectricity noise
Multiple similar impulse waveforms be present, R ripples positioned and very big interference, serious shadow be present in larger error, the fetus R ripples of EKF estimations
Instantaneous Fetal Heart Rate estimation is rung (in figure shown in circle).On the other hand, strong tracking change of the estimation to parent electrocardio waveform and dry
Disturbing noise has very strong robustness, Fetal ECG and parent electrocardio waveform can be accurately estimated, as shown in Fig. 4 circles.Together
When, even if when fetus R ripples are covered by parent electrocardio T ripples or QRS complex waves completely, Strong tracking filter method proposed by the present invention can
To efficiently separate parent electrocardio and Fetal ECG R ripples, as shown in Fig. 4 square frames.
Further, the present embodiment is started with quantitative evaluation EKF recursive Estimation Algorithms and strong tracking filter from fetal heart frequency
Performance.Fig. 5 gives pair of the positioning of scalp Fetal ECG R ripples and the positioning of stomach wall Fetal ECG R ripples under strong tracking filter
Than figure, it is seen that the two can be accurately positioned R crest values.Fig. 6 is scalp Fetal Instantaneous Heart Rate and abdomen under strong tracking filter
The comparison diagram of wall Fetal Instantaneous Heart Rate, it will be seen from figure 6 that the stomach wall Fetal Instantaneous Heart Rate that single channel obtains surrounds scalp tire
Youngster's instantaneous heart rate fluctuates up and down, and the two maximum difference is no more than 4 and clapped/point (beat per minute, BPM).Their the average heart
Rate is sufficiently close to, and differs only by 0.0785BPM.
Single channel stomach wall Fetal ECG data and the scalp electrocardiogram (ECG) data of 1 minute is randomly selected in the database, is carried out
Strong tracking fetal heart frequency is estimated.Remove the jitter section of front and back end, Fig. 7 (a) is the stomach wall tire that continuous 100 hearts are clapped in 1 minute
Youngster's instantaneous heart rate estimation condition, Fig. 7 (b) are the scalp Fetal Instantaneous Heart Rate estimation condition that continuous 100 hearts are clapped in 1 minute, Fig. 8
For stomach wall Fetal Instantaneous Heart Rate and scalp Fetal Instantaneous Heart Rate comparison diagram.It can be seen that, generally, estimate from Fig. 7 (a) and Fig. 7 (b)
The stomach wall fetal heart frequency of meter has tracked scalp fetal heart frequency well, but certain fluctuation be present, particularly the 40th heart clap with
60th heart fluctuates larger between clapping, and error is all within 5BPM.Fig. 9 is that the correlation of stomach wall Fetal Heart Rate and scalp Fetal Heart Rate is surveyed
Examination, it is seen that stomach wall Fetal Heart Rate has correlation well with scalp Fetal Heart Rate.
Because stomach wall Fetal ECG instantaneous heart rate has certain fluctuation, fetal heart frequency in every 10 seconds is put down for this
, the Fetal Heart Rate and scalp fetal heart frequency of stomach wall fetus segmental averaging are analyzed again.Choose 5 minutes single channel stomach walls
Fetal ECG is tested with scalp Fetal ECG data.Figure 10 gives the experimental result of 5 minutes, divides as seen from Figure 10
After Duan Pingjun, stomach wall fetal heart frequency is more smooth, more close with scalp fetal heart frequency.Figure 11 gives scalp fetal heart frequency
With the Error Graph of stomach wall fetal heart frequency, the error provided in Figure 11 is standard deviation.It can be seen that both segmental averaging errors all exist
Within 2BPM.
Summary, from the point of view of experimental result in terms of fetus R ripples waveform tracking and fetal heart frequency estimation two, the present invention proposes
Fetal ECG robust processing method effectively can reliably recover fetus R ripple waveforms from single channel maternal abdominal electrocardio,
Realize being accurately positioned for fetus R ripples, the Fetal Instantaneous Heart Rate and segmental averaging heart rate of acquisition and the scalp fetus heart of synchronous acquisition
Rate is sufficiently close to, and most errors are less than 2BPM, and worst error is no more than 5BPM, is supervised suitable for family's fetal heart frequency dynamic
Shield.
In above-described embodiment of the application, by providing a kind of single channel maternal abdominal fetal heart frequency for domestic monitoring
Robust estimation method, Holistic modeling is carried out using parent electrocardio as a part for Fetal ECG, abdomen is established from waveform morphology angle
Wall Fetal ECG signal condition spatial model, Fetal ECG R ripples and parent electrocardio waveform are realized with Strong tracking filter method
Recurrence estimation, and peak value positioning is carried out to the Fetal ECG R ripples waveform of estimation, so as to obtain Fetal Instantaneous Heart Rate.
It should be pointed out that it is limitation of the present invention that described above, which is not, the present invention is also not limited to the example above,
What those skilled in the art were made in the essential scope of the present invention changes, is modified, adds or replaces, and also should
Belong to protection scope of the present invention.
Claims (4)
- A kind of 1. single channel maternal abdominal fetal heart frequency robust estimation method for domestic monitoring, it is characterised in that including with Lower step:S1:Signal Pretreatment:The electrocardiosignal of stomach wall fetus is pre-processed, with remove the baseline drift in electrocardiosignal and Hz noise;S2:The state-space model of single channel stomach wall Fetal ECG signal is built, initializes to obtain model by systematic parameter Need the initial value of relevant parameter;S3:Strong tracking waveform is estimated:According to the state-space model of Fetal ECG signal and the model parameter of extraction, with by force with Track filtering method, to realize the recurrence estimation of Fetal ECG R ripples and each waveform of parent electrocardio;S4:Fetus R ripples position:Using recursive Kalman filtering method, R fluctuation state positioning is realized, so as to obtain the instantaneous heart of fetus Rate;Wherein, the method that the state-space model of single channel stomach wall Fetal ECG signal is built in step S2 is as follows:First, the part using parent electrocardio as Fetal ECG, a kind of Fetal ECG signal dynamics model of six states is built:In formula,For the instantaneous phase of k moment Fetal ECGs,For the instantaneous heart rate of k moment Fetal ECGs,For the k moment The instantaneous phase of parent electrocardio,For the instantaneous heart rate of k moment parent electrocardios, δ is sampling time interval, the k+1 moment fetus hearts Electric R ripples are modeled with a Gaussian function, are expressed as Rk+1, Respectively fetus Ecg-r wave corresponds to amplitude, width and the center of gaussian kernel function, and k+1 moment parent electrocardio P ripples and T ripples are respectively with two Gaussian kernel function is modeled, and is expressed as Pk+1And Tk+1, k+1 moment parent electrocardios QRS complex entered using three gaussian kernel functions Row modeling, is expressed as Ck+1, αi,kAnd bi,k, i ∈ { P1,P2,Q,R,S,T1,T2It is respectively that each waveform of parent electrocardio corresponds to Gauss The amplitude and width of kernel function,The respectively parent heart The each waveform of electricity corresponds to the center of gaussian kernel function,For Gaussian noise;The observation model for obtaining system by the Fetal ECG signal dynamics model is:In formula,Noise is measured for Fetal ECG phase,Noise, S are measured for parent electrocardio phasekFor Fetal ECG signal Measure sample, υS,kTo measure noise;Make XkRepresent state vector, YkRepresent observation vector, UkRepresent system noise, VkRepresent to measure noise, function f and g difference System equation and observational equation are described, then the state-space model of stomach wall Fetal ECG signal is:
- 2. the single channel maternal abdominal fetal heart frequency robust estimation method according to claim 1 for domestic monitoring, its It is characterised by, systematic parameter, which initializes, in step S2 includes parent population parameter initialization and fetus parameter initialization, wherein, parent ginseng Number initialization specifically includes:R ripple detections are carried out to the electrocardiosignal after pretreatment, obtain parent instantaneous heart rateAverage With variance, while electrocardiosignal is converted into phase field from time domain, so as to obtain the instantaneous phase of parent electrocardioWith list Passage singular value decomposition method obtains the Gauss nuclear parameter that the average heart of parent is clapped and the average heart is clapped;Fetus parameter initialization specifically includes:The parent electrocardio composition of extraction is removed from the electrocardiosignal after pretreatment, is obtained Obtain Fetal ECG according to a preliminary estimate, then carry out R ripple detections, obtain fetal heart frequencyAverage and variance, while by electrocardiosignal from Time domain is converted to phase field, so as to obtain the instantaneous phase of Fetal ECGObtained with single channel singular value decomposition method The Gauss nuclear parameter that the average heart of fetus is clapped and the average heart is clapped.
- 3. the single channel maternal abdominal fetal heart frequency robust estimation method according to claim 1 for domestic monitoring, its It is characterised by, Strong tracking filter method is specially in step S3:For the nonlinear state equation of the state-space model of Fetal ECG signal, EKF filter recursive Estimation Algorithm For:<mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <msubsup> <mover> <mi>X</mi> <mo>^</mo> </mover> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> </mrow> <mo>-</mo> </msubsup> <mo>=</mo> <mi>f</mi> <mrow> <mo>(</mo> <msubsup> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>k</mi> <mo>+</mo> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>K</mi> <mi>k</mi> </msub> <mo>=</mo> <msubsup> <mi>P</mi> <mi>k</mi> <mo>-</mo> </msubsup> <msubsup> <mi>C</mi> <mi>k</mi> <mi>T</mi> </msubsup> <msup> <mrow> <mo>&lsqb;</mo> <msub> <mi>C</mi> <mi>k</mi> </msub> <msubsup> <mi>P</mi> <mi>k</mi> <mo>-</mo> </msubsup> <msubsup> <mi>C</mi> <mi>k</mi> <mi>T</mi> </msubsup> <mo>+</mo> <msub> <mi>D</mi> <mi>k</mi> </msub> <msub> <mi>R</mi> <mi>k</mi> </msub> <msubsup> <mi>D</mi> <mi>k</mi> <mi>T</mi> </msubsup> <mo>&rsqb;</mo> </mrow> <mrow> <mo>-</mo> <mn>1</mn> </mrow> </msup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> </mrow> <mo>-</mo> </msubsup> <mo>=</mo> <msub> <mi>A</mi> <mi>k</mi> </msub> <msubsup> <mi>P</mi> <mi>k</mi> <mo>+</mo> </msubsup> <msubsup> <mi>A</mi> <mi>k</mi> <mi>T</mi> </msubsup> <mo>+</mo> <msub> <mi>B</mi> <mi>k</mi> </msub> <msub> <mi>Q</mi> <mi>k</mi> </msub> <msubsup> <mi>B</mi> <mi>k</mi> <mi>T</mi> </msubsup> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msub> <mi>r</mi> <mi>k</mi> </msub> <mo>=</mo> <msub> <mi>Y</mi> <mi>k</mi> </msub> <mo>-</mo> <mi>g</mi> <mrow> <mo>(</mo> <msubsup> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>k</mi> <mo>-</mo> </msubsup> <mo>)</mo> </mrow> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>k</mi> <mo>+</mo> </msubsup> <mo>=</mo> <msubsup> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>k</mi> <mo>-</mo> </msubsup> <mo>+</mo> <msub> <mi>K</mi> <mi>k</mi> </msub> <msub> <mi>r</mi> <mi>k</mi> </msub> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <msubsup> <mi>P</mi> <mrow> <mi>k</mi> <mo>+</mo> <mn>1</mn> </mrow> <mo>+</mo> </msubsup> <mo>=</mo> <msubsup> <mi>P</mi> <mi>k</mi> <mo>-</mo> </msubsup> <mo>-</mo> <msub> <mi>K</mi> <mi>k</mi> </msub> <msub> <mi>C</mi> <mi>k</mi> </msub> <msubsup> <mi>P</mi> <mi>k</mi> <mo>-</mo> </msubsup> </mrow> </mtd> </mtr> </mtable> </mfenced>In formula,For the priori estimates of state vector,For the posterior estimate of state vector, KkFor adjustable gain battle array,For the covariance matrix of prior estimate,For the covariance matrix of Posterior estimator, RkFor observation noise variance, QkMade an uproar for state Sound variance, rkFor the information after renewal, i.e., new breath, Ak、Bk、Ck、DkFor the Jacobin squares of Fetal ECG signal condition spatial model Battle array,In EKF filter recursive Estimation Algorithm, new breath vector r at different moments is forcedkIt is orthogonal, i.e., meet simultaneously following Two equations:<mfenced open = "" close = ""> <mtable> <mtr> <mtd> <mfenced open = "{" close = ""> <mtable> <mtr> <mtd> <mrow> <mi>E</mi> <mo>&lsqb;</mo> <msub> <mi>X</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>k</mi> </msub> <mo>&rsqb;</mo> <msup> <mrow> <mo>&lsqb;</mo> <msub> <mi>X</mi> <mi>k</mi> </msub> <mo>-</mo> <msub> <mover> <mi>X</mi> <mo>^</mo> </mover> <mi>k</mi> </msub> <mo>&rsqb;</mo> </mrow> <mi>T</mi> </msup> <mo>=</mo> <mi>min</mi> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow> <mi>E</mi> <mo>&lsqb;</mo> <msub> <mi>r</mi> <mrow> <mi>k</mi> <mo>+</mo> <mi>j</mi> </mrow> </msub> <msup> <msub> <mi>r</mi> <mi>k</mi> </msub> <mi>T</mi> </msup> <mo>&rsqb;</mo> <mo>=</mo> <mn>0</mn> </mrow> </mtd> </mtr> </mtable> </mfenced> </mtd> <mtd> <mrow> <mi>k</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> </mrow> </mtd> <mtd> <mrow> <mi>j</mi> <mo>=</mo> <mn>0</mn> <mo>,</mo> <mn>1</mn> <mo>,</mo> <mn>2</mn> <mo>,</mo> <mn>...</mn> </mrow> </mtd> </mtr> </mtable> </mfenced>Try to achieve the adjustable gain battle array K for meeting above formulak, you can obtain Strong tracking filter method.
- 4. the single channel maternal abdominal fetal heart frequency robust estimation method according to claim 1 for domestic monitoring, its It is characterised by, chooses the electrocardiogram (ECG) data of 10 seconds in step S2 in systematic parameter initialization procedure.
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