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V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and
                    Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.1702-1708
                      CAPTURING ECG SIGNALS BY ICA
                            V.K.Srivastava, Dr. Devendra Prasad
   Associate Professor, Deptt. Of Computer Sc.& Engg., HCTM Technical campus, Kaithal, Haryana, India
      Associate Professor, Deptt. Of Computer Sc.& Engg., M.M. University, Ambala, Haryana, India


I. INTRODUCTION
          Study of electrocardiogram (ECG) signals      II. ANALYSIS METHODS
plays a very vital role to diagnose the                          Basically our works depend on the theory
malfunctioning of the heart. Electrocardiogram          of ICA, which was adopted to solve the problem of
(ECG) machine permits deduction of many                 blind source separation [1]. Comon proposed the
electrical and mechanical defects of the heart, by      mathematical      framework      for     Independent
measuring potentials on the body surface. The ECG       Component Analysis (ICA).          Previously ECG
can record non invasive measurements of heart           applications focused mainly on two directions :- De
activity, due to the confounds, created by mixing of    Lathauwer first applied ICA to separate fetal ECG
volume-conducted signals at the body surface            from maternal body surface ECG recordings [2][3],
electrodes, however, a healthy subject could have       successfully addressing a longstanding problem.
abnormal heart rhythm and a known cardiac-              ICA was used to remove the artifacts from ECG
impaired instead of a normal heart rhythm. Thus,        recordings [4]-[6] and also used to remove artifacts
diagnoses, based on visual observations of recorded     from both animal [7] and human [8]. But it also to
ECG signals, may not be accurate. So keeping this,      be noted that they only made use of the conventional
we will use and compare the various methods and         12-lead ECG signal from which only ten channels of
techniques to analyze electronic heart signals. One     recorded data were available for analysis, also, did
such method is ICA which refers to a family of          not instruct subjects to perform multiple activities.
related algorithms that performs blind source           ICA separated components accounting for the QRS
separation, separating the recorded signals into        complex from those accounting for the P-wave and
component signals that are maximally statistically      T-wave. However they were unable to further
independent in some sense. In this research work,       separate P-wave from T-wave. Due to this, more
we propose an approach to make use of independent       reliable methods are designed to collect high-density
component analysis (ICA) techniques to analyze          ECG signals and used ICA to separate the
electronic heart signals recorded using high-density    underlying heart activities.     ICA concept and
montages. Although ICA and principal component          algorithm are as given hereunder:
analysis (PCA), being linear decomposition
technique, have been applied to analyze atrial                   N source signals s={s1(t),…….sn(t)},
activities in ECG. In these studies only conventional   linearly mixed by multiplying a mixing matrix A,
12-lead ECG data were used, and therefore, the          produce N mixture signals x={ x1(t),…….xn(t)} =
number of cardiac sources that could be separated       As. Given the signal mixtures x, we would like to
was limited to 12. Recordings with more channels        recover a version u=Wx. The key assumptions used
have been used by other researchers, but they did       in ICA to solve this problem is that the source
not test the application of ICA to their data. Here,    signals are as statistically independent as possible
98-channel ECG is recorded to facilitate use of ICA-    during the time course of the recordings. Statistical
based spatial filter to separate different heart         independence means the joint probability density
activities. A gradient ascent ICA algorithm is          function (pdf) of the output sources can be
adopted to separate the P-wave, QRS complex, and        factorized to the product of the marginal pdfs of
T-wave. The separated components are further back-      each source :
projected to body surface potential maps. The                    N
experiments are conducted on five subjects to show       p(u) =    p (u )
                                                                 i 1
                                                                        i   i               (1)
the effectiveness of our approach. Results from five
subjects show that P-, QRS-, and T-waves can be
clearly separated from the recordings, confirming                In practice, however, some approximation
that ICA might be an effective and useful tool for      to independence or to related quantities must be
high-density ECG analysis, interpretation and           used for finite data lengths. In our work, we
diagnosis.                                              employed the gradient ascent algorithm as
The rest of the work is divided as given below :        implemented by Makeig [9] based on the infomax
Section II –       Analysis Methods                     algorithm, which has been found to be effective for
Section III-       Methodology                          analysis of biomedical signals.
Section IV-        Results and Analysis                          To evaluate the resulting independent
Section V-         Conclusions & Future work            components, back-projection is used to plot body



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V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and
                    Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.1702-1708
surface projection maps for each component. From        6. LabView software;
the ICA algorithm, we obtained unmixing matrix W.       7. adhesive pads;
The signal mixing matrix will be W-1, i.e., x= W-1u.             The Biosemi system incorporated 128 pin-
Let W-1 (:i) denote ith column of W-1 , and u(i:)       type electrodes designed for EEG recordings with
denote the ith row of u, then the back-projection of    latex head caps dotted with plastic electrode holders
component i,pi is                                       At most, 101 of these were used in our experiments.
pi=W-1(:i)xu(i:).                            (2)        The electrode holders were attached to the skin of
                                                        the chest and back of the subject by adhesive pads.
          The column vector W-1 (:i) represents the     The active Ag/AgCl electrodes do not require skin
relative (signed) weight of the ith component in        preparation, but do require electrode gel to act as a
each body surface channel. The back-projection          conductor between the skin and the electrodes. The
map of each component may be plotted for each           signals recorded at the electrodes are synchronously
subject. The computation of back-projection maps        converted to 24-bit digital format at 256 Hz per
is strongly reminiscent of more general body surface    channel, and are saved in a computer.
potential mapping (BSPM) techniques, as is the use
of high density electrodes. In BSPM, 32 to 256          B. Procedures
ECG electrodes are used to recird the body surface                 The experiments were performed on five
potential field created by the beating heart. The       electrocardiographically normal volunteer subjects
BSPM system has been used in several hundreds of        as approved by an Institutional Review Board. We
patient recording representing most common cardiac      started each experiment by attaching 36–49
diseases such as is chemic heart disease and            electrode wells to the chest and an equal number to
ventricular and supraventricular arrhythmias [30]–      the back of the subject. Then, after an adequate
[32]. The main advantage of BSPM, compared to           amount of electrode gel was injected into each well,
12-lead ECG, is the ability to visualize the cardiac    the electrodes were plugged in. Three additional
potential distribution across the whole thorax.         electrodes were placed on the subject’s left arm,
Several methods have been proposed for detecting        right arm, and left leg as unipolar limb leads to form
the vulnerability to life-threatening arrhythmias       the Wilson central terminal, and a grounding node
from BSPM recordings and from near-equivalent           electrode was placed on the subject’s waist before
magnetocardiographic signals [30], [31]. In such        the electrodes are connected to the recording
methods, the signals from each channel are analyzed     system. A DRL circuit is used in order to minimize
by signal processing methods such as beat-locked        the artifacts. The DRL circuit is able to read what it
averaging, late potential analysis, spectral            believes to be noise (usually common mode noise)
turbulence analysis, QRST integral analysis, and        and feeds a very small amount of electricity back
spatial parameter mapping. High-density ECG             into the body to actively negate this noise. This
recording makes more signals available for analysis,    technique is highly effective and has been used in
necessitating automated signal processing methods,      medical recording devices such as ECG and EEG.
and making the method more robust to individual         Subjects were recorded in a relaxed standing
channel noise or dropouts. However, different from      position. Although a supine position is ideal in ECG
previous methods, we visualize the back-projection      recording, it was not used in this case because of the
of each individual ECG source to the body surface,      risk of damage to the electrodes placed on the back
obtained by ICA decomposition, instead of               of the subject. Subjects were asked to do the
visualizing the sum of these sources, i.e., the whole   following four kinds of activities:
recorded body surface signals. The back-projected       1) Stand still and breathe normally for 90 s. This
component maps may reflect properties of each            was used as a baseline for comparison to
ECG signal component, providing us with more                signals recording, during the other activities.
information about different heart activities            2) Breathe in and hold the breath for intervals of 10
compared to BSPM visualizations of the whole            s during a period of 90 s. This was
signal mixtures.                                            used to tire the cardiac muscles so that the
                                                        contractions of the various muscles would
III. EXPERIMENTS                                            begin to separate as shown in the wave forms.
A. Equipments and Setup                                 3) Maintain a horse stance for 60 s, followed by
         Our experiments use BioSemi’s Active           ECG recording. This exercise was used
Two base system. A list of the main necessary              to tire subjects so that their heart would beat
equipment is as follows :                               faster and the differing cardiac muscles
1. 16 x 8-channel amplifier/converter modules;             contractions would allow better ICA separations.
2. 4 x 32 pin-type electrodes;                          4) Lean toward different orientations. One subject
3. Packer Signa electrode gel;                          was asked to lean forward and to the
4. 128 electrode holders;                                   left, and the other four subjects were asked to
5. Common mode sense (CMS)/driven right                 lean to all four cardinal orientations
leg(DRL) electrodes;                                        (forward, backward, left, and right). Ninety-



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V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and
                    Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.1702-1708
second recordings were made during each                  frequency in pass band 40 Hz. Fig. 2 shows some
   orientation.                                          recorded raw mixture signals from subject 1. The
          Only the last 50 s recording of each ECG       left portions of the two figures show the wave forms
recording is analyzed, to avoid the higher noise         during standing still, and the right portions the wave
levels in the early phase of the recordings. We used     forms following the horse stance. Notice that the
multiple activity conditions to make the heart           electrodes on the chest receive much stronger
perform slightly differently based on the concept        signals than those on the back. This is reasonable
that ICA could then pick up the subtle differences in    since the human heart is closer to the front of the
activity patterns, and thereby better decompose the      body.
recorded signals into different components
accounting for P-waves, QRS complex, and T-
waves.
IV. EXPERIMENTAL RESULTS AND
ANALYSIS
          We performed six experiments on five
subjects, with 72 electrodes (two 6 × 6
matrices on the chest and the back) and 98
electrodes (two 7 × 7        matrices on the chest and
the back), respectively. Two experiments on subject
1 were performed to verify the stability of our
results. the 98 electrodes (or channels) are numbered
as shown in Fig. 1—note that the left and right
orientations on the chest and back are reversed so
they can form a circle around the body.

                                                         Fig.2 Subject 1 mixture waveforms. (a) Still
                                                         standing. (b) Horse stance.

                                                         A-Separated Components
                                                                  The ICA algorithm was then applied to the
                                                         recorded signals concatenated across all recordings
                                                         for each subject. By definition, W is a square matrix;
                                                         therefore, 72 and 98 components were produced,
                                                         respectively. However, for each subject, only a few
                                                         of them had relatively large amplitudes and
                                                         meaningful waveforms. We believe that the rest
                                                         account for breath related and other noise, and thus,
                                                         ignored them in further analysis. From the results,
                                                         we made the following observations:
                                                         1) The ICA algorithm was able to identify and
                                                         separate the overlapping spatial projections of the P-
                                                         wave, QRS complex, and T-wave. In the
                                                         experiments for all subjects, the T-wave is clearly
                                                         separated from the QRS complex. P-waves are
                                                         identified in three out of five subjects—through
                                                         observing the original recorded signals, we
                                                         confirmed that in the two cases where P-waves are
Fig.1                                                    not separated, the P-waves have very small
LAYOUTS OF                                               magnitude and thus are buried in noise. We believe
ELECTRODES                                               this is reasonable because QRS complex, which
         In the 6 × 6 case, they are arranged in a       reflects the depolarization of the ventricles, is a
similar fashion. For the first subject, five activities    complicated process that may consist of multiple
are recorded: still standing, holding breath, horse      heart activities. The separation results confirmed
stance, and leaning forward and left; for the other      that high-quality solutions can be obtained using a
four subjects, seven activities are recorded,            dense channel array. Only the conventional 12-lead
including the additional leaning backward and            ECG signals were used in [5]. In their experiments,
rightward poses. The recorded raw data were first         P-waves and T-waves could not be separated, and
processed by two-way least square finite impulse          the separation of T-waves from QRS-complex is not
response (FIR) filtering, with the low-edge               as clear as ours. This suggests that high-density
frequency in pass band 0.1 Hz and the high-edge          channels are beneficial in separation. We tried



                                                                                              1704 | P a g e
V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and
                    Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.1702-1708
reducing the number of channels in our experiments         wave was also decomposed to two components,
in [33]. We showed that using 12 or 24 channels, the       suggesting that the T-wave probably does not have a
ICA algorithm is still able to separate different          spatially fixed source.
components, though the quality is compromised.             4) Note that the components accounting for the QRS
Also,the positions of these 12 or 24 channels should       com- plex have different peak latencies (in the
be carefully chosen to obtain good results. This           figure, they have been sorted in ascending order).
requires further investigation.                            This could represent a wave propagation sequence.
2) Recordings during or following a variety of                       Thus, further analysis of these components
activities are highly useful for successful ICA            should prove useful, particularly modeling of the
source      separation.     Decomposing       different    physical positions of the sources that produce these
combinations of recordings associated with different       components. To show that our experimental results
activities showed that recordings during or                could be stably reproduced, we conducted the same
following at least three activities were needed to         experiments on subject 1 once more. The same
separate the T-waves, and that decomposing more            analysis was performed on the obtained data. Very
recordings produced better separation. We believe          similar components were obtained from both
this is because different sources exhibit different        experiments. To evaluate this similarity, we
behaviors under various circumstances, For                 calculated the peak time difference of the related
example, the shape of the T-waves and their latency        components from both experiments, with respect to
relative to the QRS complex were different for             the peak time of the first component. The results are
different activities. In addition, since ICA must learn    shown in Table I.
the relatively large unmixing matrix, more data are        TABLE 1
required to decompose more channels.                For              PEAK TIME DIFFERENCE FOR TWO
example, to separate 100 channels, ICA must learn          EXPERIMENTSON SUBJECT 1
100 × 100 unmixing weights, typically requiring            Compon 1 2               3     4     5     6    7
some multiple of this many data points (e.g., some         ent
multiple of 40 s using 256 Hz sampling). For               Experime 0 11. 23. 39. 45. 59. 252.
successful decomposition of 100 or more EEG                nt 1         m 2         2     0     5     4    4
channels, the scaling factor may be 30 or more. An                      s    ms ms ms ms ms ms
equivalent requirement, for our recordings, would          Experime 0 15. 28. 41. 45. 63. 257.
call for using 11–20 min or more of data. Here, our        nt 2         m 8         8     3     7     1    9
best results were obtained by concatenating all the                     s    ms ms ms ms ms ms
recordings for the subject (in all, 4–6 min of data). It
is true that concatenating multichannel ECG data                    The peak latency difference among
acquired with different conditions can potentially         components in the two experiments, reflecting the
introduce more components. However, such a                 propagation speed of the cardiac waves, are very
variety is good to create differences in the               close except for the second and third components.
composition of QRS complex or other ECG feature            Thus, our results were reproduceable. The
waveforms. For example, the interval between Q             discrepancy on the second and third components
and S waves may be changed in different recording          may be due to the different body conditions or due
conditions. Thus, when ICA sees the variability of         to numerical errors, which need to be further
the Q-S interval, it may separate these two important      investigated.
features into two or more different components.
However, if we only decompose channel ECG data             B. Back Projection
with single condition, wherein the Q-S interval is                  The     back-projections      of    different
pretty much fixed, then we would not be able to             components are computed according to (2) and
separate the S-wave from the Q. As a result, this          compared with the original channel waveforms. The
helps us to more consistently decompose the ECG            purpose is to show that the separated components
recordings into more independent components. To            account for different sections of the cardiac cycle.
be able to see more independent components is              We find that each component accounts for different
exactly the purpose here. Accordingly, to be able to       parts of QRS complex, confirming that ICA
acquire more ECG channels would also be essential          separates sources of different sections of the cardiac
to increase the possibility to cover the components        cycle. As an example, the back-projection maps for
we potentially increased by concatenating ECG              each meaningful component of subject 2 are plotted.
channel data recorded in different conditions.             In the leftmost column, the column vectors W−1 (:,
3)Typically, ICA separated seven to eight different        i), which represent (signed) weight of the ith
meaningful components from the original                    component in each body surface channel, are
waveforms. Multiple components accounted for the           plotted. For each vector, the 98 elements are
QRS components, indicating that the QRS complex            organized, reflecting their physical locations in the
is generated by a collection of underlying sources or      chest and back of the subjects. The differing
by a moving wave of activity. For subject 2, the T-        weights, proportional to different potential values in


                                                                                                1705 | P a g e
V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and
                    Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.1702-1708
the body surface, are mapped to different colors,         method is still in its infancy. Fruitful directions for
where red represents the largest magnitude and blue       further research include the following:
represent the smallest one. When plotting, we use         1) We design experiments to record high-density (98
finer grid rather than the original two 7 × 7 matrices    channels) ECG from the body surface. The recorded
and interpolate the values in order to obtain smooth      signals have high quality and are stable when
maps. For each component, we also show the 3-D            subjects do various activities. Moreover, multi-
maps, together with the estimated dipole vectors that     channel recording is necessary to use ICA to
point from the most negative potential position to        separate underlying components.
the most positive potential position. The left 3-D         2) We employ a gradient ascent ICA algorithm to
map is shown from the front view and the right one        separate signal components from the recorded body
from a side view. The most right column shows the         surface mixtures. For all five subjects, we are able to
time course of the most relevant independent              separate the somewhat different but highly
component. In most of the maps, the weights are           overlapping projections to the body surface of the P-
concentrated in the right frontal chest, as expected.     wave, QRS complex, and T-wave, and to recover
Furthermore, portion of the chest and back receiving      the continuous signals projecting from their cardiac
the most concentrated signal is different for different   generators, demonstrating that our method is
components. The maximal projection of the                 effective for identifying individual sources of ECG
different QRS components moves downward and               signals.
the ensuing T-wave projection maximum is still            3) Our approach appears promising for
lower. This is consistent with the physiological          distinguishing between different underlying cardiac
understanding of the origins of these features. The       conditions, compared to traditional ECG analysis.
QRS complex represents the depolarization of the          Although results of applying ICA to high-density
ventricle, while the T wave indicates the                 ECG show great promise, the analysis method is
repolarization of the ventricle.           Since the      still in its infancy. Fruitful directions for further
depolarization needs to spread from the                   research include the following.
atrioventricular (AV) node to all parts of the            1) Determining the best placements for the
ventricles, the electrical sources effectively moves      electrodes. One possibility is to place more
downward, as reflected in the body surface                electrodes on the chest closer to the heart and fewer
projection maps for the different components              on other body locations. However, non uniform
accounting for the QRS complex.                           placement should be based on more knowledge and
                                                          understanding of heart physiology.
V. DISCUSSION AND FUTURE WORK                             2) The relationship between the number of
          Here, we report a novel experimental            electrodes, the length of the recording, and the
approach to collecting stable, high-density ECG           performance of source separation (and subsequent
signals and application of ICA to separate spatially      source      localization)    should      be     studied
fixed and temporally independent source activities        systematically. In preliminary experiments, we
from the recorded signals. The major contributions        attempted to reduce the number of electrodes, but
of this research are as follows.                          found the results to be inferior [33]. We plan to
1) We design experiments to record high-density (98       perform a more comprehensive study to assess the
channels) ECG from the body surface. The recorded         performance of ICA as a function of the number of
signals have high quality and are stable when             sensors since in actual clinical applications, it is
subjects do various activities. Moreover, multi-          preferable to reduce the number of channels if
channel recording is necessary to use ICA to              possible, as this would reduce both the time required
separate underlying components.                           and the cost of the supplies and equipment.
2) We employ a gradient ascent ICA algorithm to           3) It is of importance to discover to what extent
separate signal components from the recorded body         different cardiac sources can be decomposed using
surface mixtures. For all five subjects, we are able      recordings during or following different activities.
to separate the somewhat different but highly             Currently, we use seven conditions in our
overlapping projections to the body surface of the P-     experiments; from these, components accounting for
wave, QRS complex, and T-wave, and to recover             the P-wave, QRS complex, and T-wave could be
the continuous signals projecting from their cardiac      separated. It should be interesting to determine
generators, demonstrating that our method is              whether these components are ―atomic,‖ i.e.,
effective for identifying individual sources of ECG       whether each of them is generated by a single
signals.                                                  cardiac source, and consequently, cannot be further
3) Our approach appears promising for                     decomposed. Possible ways of testing this
distinguishing between different underlying cardiac       conjecture include adding additional activities to the
conditions, compared to traditional ECG analysis.         experiments, acquiring more data, or comparing
          Although results of applying ICA to high-       results of different algorithms for decomposing the
density ECG show great promise, the analysis              mixed body surface signals.




                                                                                                1706 | P a g e
V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and
                    Applications (IJERA) ISSN: 2248-9622 www.ijera.com
                     Vol. 2, Issue 5, September- October 2012, pp.1702-1708
4) Finally, sources obtained from body surface                  Eng., vol. 48, no. 9, pp. 660–669, Jun.
recordings by ICA might be verified more directly               2001.
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to collaborate with electro-physiologists to analyze            ―Noninvasive localization of the site of
simultaneous high-density surface ECG and intra-                origin of paced cardiac activation in human
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comparison may not prove straightforward. If our         [12]   S. Makeig, T. Jung, A. Bell, D.
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process, it would likely be quickly accepted into               separation of auditory event-related brain
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Jq2517021708

  • 1. V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1702-1708 CAPTURING ECG SIGNALS BY ICA V.K.Srivastava, Dr. Devendra Prasad Associate Professor, Deptt. Of Computer Sc.& Engg., HCTM Technical campus, Kaithal, Haryana, India Associate Professor, Deptt. Of Computer Sc.& Engg., M.M. University, Ambala, Haryana, India I. INTRODUCTION Study of electrocardiogram (ECG) signals II. ANALYSIS METHODS plays a very vital role to diagnose the Basically our works depend on the theory malfunctioning of the heart. Electrocardiogram of ICA, which was adopted to solve the problem of (ECG) machine permits deduction of many blind source separation [1]. Comon proposed the electrical and mechanical defects of the heart, by mathematical framework for Independent measuring potentials on the body surface. The ECG Component Analysis (ICA). Previously ECG can record non invasive measurements of heart applications focused mainly on two directions :- De activity, due to the confounds, created by mixing of Lathauwer first applied ICA to separate fetal ECG volume-conducted signals at the body surface from maternal body surface ECG recordings [2][3], electrodes, however, a healthy subject could have successfully addressing a longstanding problem. abnormal heart rhythm and a known cardiac- ICA was used to remove the artifacts from ECG impaired instead of a normal heart rhythm. Thus, recordings [4]-[6] and also used to remove artifacts diagnoses, based on visual observations of recorded from both animal [7] and human [8]. But it also to ECG signals, may not be accurate. So keeping this, be noted that they only made use of the conventional we will use and compare the various methods and 12-lead ECG signal from which only ten channels of techniques to analyze electronic heart signals. One recorded data were available for analysis, also, did such method is ICA which refers to a family of not instruct subjects to perform multiple activities. related algorithms that performs blind source ICA separated components accounting for the QRS separation, separating the recorded signals into complex from those accounting for the P-wave and component signals that are maximally statistically T-wave. However they were unable to further independent in some sense. In this research work, separate P-wave from T-wave. Due to this, more we propose an approach to make use of independent reliable methods are designed to collect high-density component analysis (ICA) techniques to analyze ECG signals and used ICA to separate the electronic heart signals recorded using high-density underlying heart activities. ICA concept and montages. Although ICA and principal component algorithm are as given hereunder: analysis (PCA), being linear decomposition technique, have been applied to analyze atrial N source signals s={s1(t),…….sn(t)}, activities in ECG. In these studies only conventional linearly mixed by multiplying a mixing matrix A, 12-lead ECG data were used, and therefore, the produce N mixture signals x={ x1(t),…….xn(t)} = number of cardiac sources that could be separated As. Given the signal mixtures x, we would like to was limited to 12. Recordings with more channels recover a version u=Wx. The key assumptions used have been used by other researchers, but they did in ICA to solve this problem is that the source not test the application of ICA to their data. Here, signals are as statistically independent as possible 98-channel ECG is recorded to facilitate use of ICA- during the time course of the recordings. Statistical based spatial filter to separate different heart independence means the joint probability density activities. A gradient ascent ICA algorithm is function (pdf) of the output sources can be adopted to separate the P-wave, QRS complex, and factorized to the product of the marginal pdfs of T-wave. The separated components are further back- each source : projected to body surface potential maps. The N experiments are conducted on five subjects to show p(u) =  p (u ) i 1 i i (1) the effectiveness of our approach. Results from five subjects show that P-, QRS-, and T-waves can be clearly separated from the recordings, confirming In practice, however, some approximation that ICA might be an effective and useful tool for to independence or to related quantities must be high-density ECG analysis, interpretation and used for finite data lengths. In our work, we diagnosis. employed the gradient ascent algorithm as The rest of the work is divided as given below : implemented by Makeig [9] based on the infomax Section II – Analysis Methods algorithm, which has been found to be effective for Section III- Methodology analysis of biomedical signals. Section IV- Results and Analysis To evaluate the resulting independent Section V- Conclusions & Future work components, back-projection is used to plot body 1702 | P a g e
  • 2. V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1702-1708 surface projection maps for each component. From 6. LabView software; the ICA algorithm, we obtained unmixing matrix W. 7. adhesive pads; The signal mixing matrix will be W-1, i.e., x= W-1u. The Biosemi system incorporated 128 pin- Let W-1 (:i) denote ith column of W-1 , and u(i:) type electrodes designed for EEG recordings with denote the ith row of u, then the back-projection of latex head caps dotted with plastic electrode holders component i,pi is At most, 101 of these were used in our experiments. pi=W-1(:i)xu(i:). (2) The electrode holders were attached to the skin of the chest and back of the subject by adhesive pads. The column vector W-1 (:i) represents the The active Ag/AgCl electrodes do not require skin relative (signed) weight of the ith component in preparation, but do require electrode gel to act as a each body surface channel. The back-projection conductor between the skin and the electrodes. The map of each component may be plotted for each signals recorded at the electrodes are synchronously subject. The computation of back-projection maps converted to 24-bit digital format at 256 Hz per is strongly reminiscent of more general body surface channel, and are saved in a computer. potential mapping (BSPM) techniques, as is the use of high density electrodes. In BSPM, 32 to 256 B. Procedures ECG electrodes are used to recird the body surface The experiments were performed on five potential field created by the beating heart. The electrocardiographically normal volunteer subjects BSPM system has been used in several hundreds of as approved by an Institutional Review Board. We patient recording representing most common cardiac started each experiment by attaching 36–49 diseases such as is chemic heart disease and electrode wells to the chest and an equal number to ventricular and supraventricular arrhythmias [30]– the back of the subject. Then, after an adequate [32]. The main advantage of BSPM, compared to amount of electrode gel was injected into each well, 12-lead ECG, is the ability to visualize the cardiac the electrodes were plugged in. Three additional potential distribution across the whole thorax. electrodes were placed on the subject’s left arm, Several methods have been proposed for detecting right arm, and left leg as unipolar limb leads to form the vulnerability to life-threatening arrhythmias the Wilson central terminal, and a grounding node from BSPM recordings and from near-equivalent electrode was placed on the subject’s waist before magnetocardiographic signals [30], [31]. In such the electrodes are connected to the recording methods, the signals from each channel are analyzed system. A DRL circuit is used in order to minimize by signal processing methods such as beat-locked the artifacts. The DRL circuit is able to read what it averaging, late potential analysis, spectral believes to be noise (usually common mode noise) turbulence analysis, QRST integral analysis, and and feeds a very small amount of electricity back spatial parameter mapping. High-density ECG into the body to actively negate this noise. This recording makes more signals available for analysis, technique is highly effective and has been used in necessitating automated signal processing methods, medical recording devices such as ECG and EEG. and making the method more robust to individual Subjects were recorded in a relaxed standing channel noise or dropouts. However, different from position. Although a supine position is ideal in ECG previous methods, we visualize the back-projection recording, it was not used in this case because of the of each individual ECG source to the body surface, risk of damage to the electrodes placed on the back obtained by ICA decomposition, instead of of the subject. Subjects were asked to do the visualizing the sum of these sources, i.e., the whole following four kinds of activities: recorded body surface signals. The back-projected 1) Stand still and breathe normally for 90 s. This component maps may reflect properties of each was used as a baseline for comparison to ECG signal component, providing us with more signals recording, during the other activities. information about different heart activities 2) Breathe in and hold the breath for intervals of 10 compared to BSPM visualizations of the whole s during a period of 90 s. This was signal mixtures. used to tire the cardiac muscles so that the contractions of the various muscles would III. EXPERIMENTS begin to separate as shown in the wave forms. A. Equipments and Setup 3) Maintain a horse stance for 60 s, followed by Our experiments use BioSemi’s Active ECG recording. This exercise was used Two base system. A list of the main necessary to tire subjects so that their heart would beat equipment is as follows : faster and the differing cardiac muscles 1. 16 x 8-channel amplifier/converter modules; contractions would allow better ICA separations. 2. 4 x 32 pin-type electrodes; 4) Lean toward different orientations. One subject 3. Packer Signa electrode gel; was asked to lean forward and to the 4. 128 electrode holders; left, and the other four subjects were asked to 5. Common mode sense (CMS)/driven right lean to all four cardinal orientations leg(DRL) electrodes; (forward, backward, left, and right). Ninety- 1703 | P a g e
  • 3. V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1702-1708 second recordings were made during each frequency in pass band 40 Hz. Fig. 2 shows some orientation. recorded raw mixture signals from subject 1. The Only the last 50 s recording of each ECG left portions of the two figures show the wave forms recording is analyzed, to avoid the higher noise during standing still, and the right portions the wave levels in the early phase of the recordings. We used forms following the horse stance. Notice that the multiple activity conditions to make the heart electrodes on the chest receive much stronger perform slightly differently based on the concept signals than those on the back. This is reasonable that ICA could then pick up the subtle differences in since the human heart is closer to the front of the activity patterns, and thereby better decompose the body. recorded signals into different components accounting for P-waves, QRS complex, and T- waves. IV. EXPERIMENTAL RESULTS AND ANALYSIS We performed six experiments on five subjects, with 72 electrodes (two 6 × 6 matrices on the chest and the back) and 98 electrodes (two 7 × 7 matrices on the chest and the back), respectively. Two experiments on subject 1 were performed to verify the stability of our results. the 98 electrodes (or channels) are numbered as shown in Fig. 1—note that the left and right orientations on the chest and back are reversed so they can form a circle around the body. Fig.2 Subject 1 mixture waveforms. (a) Still standing. (b) Horse stance. A-Separated Components The ICA algorithm was then applied to the recorded signals concatenated across all recordings for each subject. By definition, W is a square matrix; therefore, 72 and 98 components were produced, respectively. However, for each subject, only a few of them had relatively large amplitudes and meaningful waveforms. We believe that the rest account for breath related and other noise, and thus, ignored them in further analysis. From the results, we made the following observations: 1) The ICA algorithm was able to identify and separate the overlapping spatial projections of the P- wave, QRS complex, and T-wave. In the experiments for all subjects, the T-wave is clearly separated from the QRS complex. P-waves are identified in three out of five subjects—through observing the original recorded signals, we confirmed that in the two cases where P-waves are Fig.1 not separated, the P-waves have very small LAYOUTS OF magnitude and thus are buried in noise. We believe ELECTRODES this is reasonable because QRS complex, which In the 6 × 6 case, they are arranged in a reflects the depolarization of the ventricles, is a similar fashion. For the first subject, five activities complicated process that may consist of multiple are recorded: still standing, holding breath, horse heart activities. The separation results confirmed stance, and leaning forward and left; for the other that high-quality solutions can be obtained using a four subjects, seven activities are recorded, dense channel array. Only the conventional 12-lead including the additional leaning backward and ECG signals were used in [5]. In their experiments, rightward poses. The recorded raw data were first P-waves and T-waves could not be separated, and processed by two-way least square finite impulse the separation of T-waves from QRS-complex is not response (FIR) filtering, with the low-edge as clear as ours. This suggests that high-density frequency in pass band 0.1 Hz and the high-edge channels are beneficial in separation. We tried 1704 | P a g e
  • 4. V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1702-1708 reducing the number of channels in our experiments wave was also decomposed to two components, in [33]. We showed that using 12 or 24 channels, the suggesting that the T-wave probably does not have a ICA algorithm is still able to separate different spatially fixed source. components, though the quality is compromised. 4) Note that the components accounting for the QRS Also,the positions of these 12 or 24 channels should com- plex have different peak latencies (in the be carefully chosen to obtain good results. This figure, they have been sorted in ascending order). requires further investigation. This could represent a wave propagation sequence. 2) Recordings during or following a variety of Thus, further analysis of these components activities are highly useful for successful ICA should prove useful, particularly modeling of the source separation. Decomposing different physical positions of the sources that produce these combinations of recordings associated with different components. To show that our experimental results activities showed that recordings during or could be stably reproduced, we conducted the same following at least three activities were needed to experiments on subject 1 once more. The same separate the T-waves, and that decomposing more analysis was performed on the obtained data. Very recordings produced better separation. We believe similar components were obtained from both this is because different sources exhibit different experiments. To evaluate this similarity, we behaviors under various circumstances, For calculated the peak time difference of the related example, the shape of the T-waves and their latency components from both experiments, with respect to relative to the QRS complex were different for the peak time of the first component. The results are different activities. In addition, since ICA must learn shown in Table I. the relatively large unmixing matrix, more data are TABLE 1 required to decompose more channels. For PEAK TIME DIFFERENCE FOR TWO example, to separate 100 channels, ICA must learn EXPERIMENTSON SUBJECT 1 100 × 100 unmixing weights, typically requiring Compon 1 2 3 4 5 6 7 some multiple of this many data points (e.g., some ent multiple of 40 s using 256 Hz sampling). For Experime 0 11. 23. 39. 45. 59. 252. successful decomposition of 100 or more EEG nt 1 m 2 2 0 5 4 4 channels, the scaling factor may be 30 or more. An s ms ms ms ms ms ms equivalent requirement, for our recordings, would Experime 0 15. 28. 41. 45. 63. 257. call for using 11–20 min or more of data. Here, our nt 2 m 8 8 3 7 1 9 best results were obtained by concatenating all the s ms ms ms ms ms ms recordings for the subject (in all, 4–6 min of data). It is true that concatenating multichannel ECG data The peak latency difference among acquired with different conditions can potentially components in the two experiments, reflecting the introduce more components. However, such a propagation speed of the cardiac waves, are very variety is good to create differences in the close except for the second and third components. composition of QRS complex or other ECG feature Thus, our results were reproduceable. The waveforms. For example, the interval between Q discrepancy on the second and third components and S waves may be changed in different recording may be due to the different body conditions or due conditions. Thus, when ICA sees the variability of to numerical errors, which need to be further the Q-S interval, it may separate these two important investigated. features into two or more different components. However, if we only decompose channel ECG data B. Back Projection with single condition, wherein the Q-S interval is The back-projections of different pretty much fixed, then we would not be able to components are computed according to (2) and separate the S-wave from the Q. As a result, this compared with the original channel waveforms. The helps us to more consistently decompose the ECG purpose is to show that the separated components recordings into more independent components. To account for different sections of the cardiac cycle. be able to see more independent components is We find that each component accounts for different exactly the purpose here. Accordingly, to be able to parts of QRS complex, confirming that ICA acquire more ECG channels would also be essential separates sources of different sections of the cardiac to increase the possibility to cover the components cycle. As an example, the back-projection maps for we potentially increased by concatenating ECG each meaningful component of subject 2 are plotted. channel data recorded in different conditions. In the leftmost column, the column vectors W−1 (:, 3)Typically, ICA separated seven to eight different i), which represent (signed) weight of the ith meaningful components from the original component in each body surface channel, are waveforms. Multiple components accounted for the plotted. For each vector, the 98 elements are QRS components, indicating that the QRS complex organized, reflecting their physical locations in the is generated by a collection of underlying sources or chest and back of the subjects. The differing by a moving wave of activity. For subject 2, the T- weights, proportional to different potential values in 1705 | P a g e
  • 5. V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1702-1708 the body surface, are mapped to different colors, method is still in its infancy. Fruitful directions for where red represents the largest magnitude and blue further research include the following: represent the smallest one. When plotting, we use 1) We design experiments to record high-density (98 finer grid rather than the original two 7 × 7 matrices channels) ECG from the body surface. The recorded and interpolate the values in order to obtain smooth signals have high quality and are stable when maps. For each component, we also show the 3-D subjects do various activities. Moreover, multi- maps, together with the estimated dipole vectors that channel recording is necessary to use ICA to point from the most negative potential position to separate underlying components. the most positive potential position. The left 3-D 2) We employ a gradient ascent ICA algorithm to map is shown from the front view and the right one separate signal components from the recorded body from a side view. The most right column shows the surface mixtures. For all five subjects, we are able to time course of the most relevant independent separate the somewhat different but highly component. In most of the maps, the weights are overlapping projections to the body surface of the P- concentrated in the right frontal chest, as expected. wave, QRS complex, and T-wave, and to recover Furthermore, portion of the chest and back receiving the continuous signals projecting from their cardiac the most concentrated signal is different for different generators, demonstrating that our method is components. The maximal projection of the effective for identifying individual sources of ECG different QRS components moves downward and signals. the ensuing T-wave projection maximum is still 3) Our approach appears promising for lower. This is consistent with the physiological distinguishing between different underlying cardiac understanding of the origins of these features. The conditions, compared to traditional ECG analysis. QRS complex represents the depolarization of the Although results of applying ICA to high-density ventricle, while the T wave indicates the ECG show great promise, the analysis method is repolarization of the ventricle. Since the still in its infancy. Fruitful directions for further depolarization needs to spread from the research include the following. atrioventricular (AV) node to all parts of the 1) Determining the best placements for the ventricles, the electrical sources effectively moves electrodes. One possibility is to place more downward, as reflected in the body surface electrodes on the chest closer to the heart and fewer projection maps for the different components on other body locations. However, non uniform accounting for the QRS complex. placement should be based on more knowledge and understanding of heart physiology. V. DISCUSSION AND FUTURE WORK 2) The relationship between the number of Here, we report a novel experimental electrodes, the length of the recording, and the approach to collecting stable, high-density ECG performance of source separation (and subsequent signals and application of ICA to separate spatially source localization) should be studied fixed and temporally independent source activities systematically. In preliminary experiments, we from the recorded signals. The major contributions attempted to reduce the number of electrodes, but of this research are as follows. found the results to be inferior [33]. We plan to 1) We design experiments to record high-density (98 perform a more comprehensive study to assess the channels) ECG from the body surface. The recorded performance of ICA as a function of the number of signals have high quality and are stable when sensors since in actual clinical applications, it is subjects do various activities. Moreover, multi- preferable to reduce the number of channels if channel recording is necessary to use ICA to possible, as this would reduce both the time required separate underlying components. and the cost of the supplies and equipment. 2) We employ a gradient ascent ICA algorithm to 3) It is of importance to discover to what extent separate signal components from the recorded body different cardiac sources can be decomposed using surface mixtures. For all five subjects, we are able recordings during or following different activities. to separate the somewhat different but highly Currently, we use seven conditions in our overlapping projections to the body surface of the P- experiments; from these, components accounting for wave, QRS complex, and T-wave, and to recover the P-wave, QRS complex, and T-wave could be the continuous signals projecting from their cardiac separated. It should be interesting to determine generators, demonstrating that our method is whether these components are ―atomic,‖ i.e., effective for identifying individual sources of ECG whether each of them is generated by a single signals. cardiac source, and consequently, cannot be further 3) Our approach appears promising for decomposed. Possible ways of testing this distinguishing between different underlying cardiac conjecture include adding additional activities to the conditions, compared to traditional ECG analysis. experiments, acquiring more data, or comparing Although results of applying ICA to high- results of different algorithms for decomposing the density ECG show great promise, the analysis mixed body surface signals. 1706 | P a g e
  • 6. V.K.Srivastava, Dr. Devendra Prasad / International Journal of Engineering Research and Applications (IJERA) ISSN: 2248-9622 www.ijera.com Vol. 2, Issue 5, September- October 2012, pp.1702-1708 4) Finally, sources obtained from body surface Eng., vol. 48, no. 9, pp. 660–669, Jun. recordings by ICA might be verified more directly 2001. using intra-cardiac recordings. For this, we will need [10] G. Li, X. Zhang, J. Lian, and B. He, to collaborate with electro-physiologists to analyze ―Noninvasive localization of the site of simultaneous high-density surface ECG and intra- origin of paced cardiac activation in human cardiac recordings from patients, to verify the by means of a 3-D heart model,‖ IEEE source activities obtained by ICA. However, note Trans. Biomed. Eng., vol. 50, no. 9, pp. that direct recordings from the heart surface should 1117–1120, Sep. 2003. differ depending on the size of the electrode and [11] P. Comon, ―Independent component location, and the size of the reference electrode. analysis, a new concept?,‖ Signal Process., Thus, even in this case, performing a ―ground truth‖ vol. 36, pp. 287–314, 1994. comparison may not prove straightforward. If our [12] S. Makeig, T. Jung, A. Bell, D. approach could be validated by this rigorous Ghahremani, and T. Sejnowski, ―Blind process, it would likely be quickly accepted into separation of auditory event-related brain practical clinical diagnosis, since the procedure is responses into independent component noninvasive, the analysis may be automated, and the analysis,‖ Proc. Nat. Acad. Sci. USA, vol. results can be well visualized. 94, pp. 10 979–10 984, 1997. [13] T. Jung, S. Makeig, T. Lee, M. Mckeown, REFERENCES G. Brown, A. Bell, and T. Sejnowski, [1] D. H. Bennett, Cardiac Arrhythmias: ―Independent component analysis of Practical Notes on Interpretation and biomedical signals,‖ in Proc. 2nd Int. Treatment. London, U.K.: Hodder, 2007. Workshop Ind. Compon. Anal. Signal [2] A. Hyvarinen, J. Karhunen, and E. Oja, Separation, 2000, pp. 633–644. Independent Component Analysis. [14] T. Jung, S. Makeig, M. Mackeown, A. Hoboken, NJ: Wiley, 2001. Bell, T. Lee, and T. Sejnowski, ―Imaging [3] J. Rieta, F. Castells, C. Sanchez, V. brain dynamics using independent Zarzoso, and J. Millet, ―Atrial activity component analysis,‖ Proc.IEEE, vol. 89, extraction for atrial fibrillation analysis no. 7, pp. 1107–1122, Jul. 2001. using blind source separation,‖ IEEE [15] L. D. Lathauwer, D. Callaerts, B. D. Moor, Trans. Biomed. Eng., vol. 51, no. 7, pp. and J. Vandewalle, ―Fetal 1176–1186, Jul. 2004. electrocardiogram extraction by source [4] F. Castells, J. J. Rieta, J. Millet, and V. subspace eparation,‖ in Zarzoso, ―Spatiotemporal blind source Proc.IEEE/ATHOS Signal Process. Conf. separation approach to atrial activity High-Order Stat., Girona, Spain, Jun.1995, estimation in atrial tachyarrhythmias,‖ pp. 134–138. IEEE Trans. Biomed. Eng., vol. 52, no. 2, [16] L. D. Lathauwer, B. D. Moor, and J. pp. 258–267, Feb. 2005. Vandewalle, ―Fetal electrocardiogram [5] K. Park, J. Lee, andK. Lee, ―ECG signal extraction by blind source subspace processing using basis function of saparation,‖ IEEE Trans. Biomed.Eng., vol. independent component analysis,‖ in Proc. 47, no. 5, pp. 567–572, May 2000. [17] B. Biomed. Eng., 2005, pp. 425–429. Widrow, J. R. Glover Jr., J. M. McCool, J. [6] F. Castells, P. Laguna, L. Sornmo, A. Kaunitz, C. S. Williams, R. H. Hearn, J. R. Bollmann, and J.M. Roig, ―Principal Zeidler, E. Dong Jr., and R. C. Goodlin, component analysis in ECG signal ―Adaptive noise cancelling: Principles and processing,‖ EURASIP J. Adv. Signal applications,‖ Proc. IEEE, vol. 63, no. 12, Process., vol. 2007, no. 1, pp. 98–98, Jan. pp. 1962–1976, Dec. 1975. 2007 (Article ID 74 580). [18] F. Vrins, V. Vigneron, C. Jutten, and M. [7] J. F. Cardoso and B. H. Laheld, Verleysen, ―Abdominal electrodes analysis ―Equivariant adaptive source separation,‖ by statistical processing for fetal IEEE Trans. Signal Process., vol. 44, no. electrocardiogram extraction,‖ in Proc. 2nd 12, pp. 3017–3030, Dec. 1996. IASTED Int. Conf. Biomed. Eng., Feb. [8] C. Ramanathan, R. Ghanem, P. Jia, K. Ryu, 2004, pp. 244–249. and Y. Ruby, ―Noninvasive [19] R. Sameni,C. Jutten, and M. B. electrocardiographic imaging for cardiac Shamsollahi, ―What ICAprovides for ECG lectrophysiology and arrhythmia,‖ Nat. processing: Application to noninvasive Med., vol. 10, pp. 422–428, 2004. fetal ECG extraction,‖ in Proc.IEEE Int. [9] G. Li and B. He, ―Localization of the site Symp. Signal Process. Inf. Technol., of origin of cardiac activation by means of Vancouver, BC, Canada, Aug. 2006, pp. a heart-model-based electrocardiographic 656–661. imaging approach,‖ IEEE Trans. Biomed. 1707 | P a g e
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