P and T wave analysis in ECG signals using Bayesian methods
P and T wave analysis in ECG signals using Bayesian methods
P and T wave analysis in ECG signals using Bayesian methods
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General Introduction<br />
The human heart, a magical muscular pump which is typically about the same size as a<br />
fist, circulates blood through a human’s body all along their life. Despite the tremendous<br />
efforts that have been dedicated to the cardiology study, the heart has not yet revealed all its<br />
secrets. Accord<strong>in</strong>g to a fact sheet released by the World Health Organization <strong>in</strong> September<br />
2011, cardiovascular diseases are still the number one cause of death globally [WHO11].<br />
The electrocardiogram (<strong>ECG</strong>), a graphical representation of temporal differences <strong>in</strong> potential<br />
electrical forces that lead to the cardiac muscle contraction, has been recognized as the<br />
simplest non-<strong>in</strong>vasive method of collect<strong>in</strong>g electrical signal from the beat<strong>in</strong>g heart that provides<br />
extremely useful <strong>in</strong>formation to the doctors. It all started when Augustus D. Waller published<br />
the first human <strong>ECG</strong> recorded with a capillary electrometer <strong>in</strong> 1887. Subsequently, Willem<br />
E<strong>in</strong>thoven, who received the Nobel Prize <strong>in</strong> 1924 for his development of the first lead system<br />
for <strong>ECG</strong> record<strong>in</strong>g, identified the five deflection po<strong>in</strong>ts <strong>in</strong> the cardiac cycle by nam<strong>in</strong>g them P,<br />
Q, R, S <strong>and</strong> T which are still be<strong>in</strong>g used <strong>in</strong> the present st<strong>and</strong>ards (see Fig. 1.7). S<strong>in</strong>ce then a<br />
huge knowledge base has been generated cover<strong>in</strong>g cl<strong>in</strong>ical <strong>and</strong> eng<strong>in</strong>eer<strong>in</strong>g aspects of electrocardiography.<br />
<strong>ECG</strong> <strong>analysis</strong> has become a rout<strong>in</strong>e part of any complete medical evaluation.<br />
In the last few decades electronic recorders have been developed for digital record<strong>in</strong>g of the<br />
<strong>ECG</strong> signal <strong>and</strong> they are available <strong>in</strong> such a compact form that the user can wear them for<br />
<strong>ECG</strong> record<strong>in</strong>g without much of obstruction <strong>in</strong> the rout<strong>in</strong>e activities. S<strong>in</strong>ce a huge volume of<br />
<strong>ECG</strong> data is generated by the wearable <strong>ECG</strong> recorders, automated <strong>methods</strong> are preferred for<br />
<strong>analysis</strong> of the <strong>ECG</strong> signal. On the other h<strong>and</strong>, <strong>in</strong>creas<strong>in</strong>g comfort usually results <strong>in</strong> <strong>signals</strong> with<br />
reduced quality. For <strong>in</strong>stance, electrodes that are <strong>in</strong>corporated <strong>in</strong> garments generally provide<br />
<strong>signals</strong> with a lower signal-to-noise ratio (SNR) <strong>and</strong> more artifacts than contact electrodes<br />
directly glued to the body [GHM07]. Therefore, the development of efficient <strong>and</strong> robust signal<br />
process<strong>in</strong>g <strong>methods</strong> for <strong>ECG</strong> computer-aided detection (CADe) <strong>and</strong> computer-aided diagnosis<br />
(CADx) is a subject of major importance.<br />
Most of the cl<strong>in</strong>ically useful <strong>in</strong>formation <strong>in</strong> <strong>ECG</strong>s can be obta<strong>in</strong>ed from the <strong>in</strong>tervals, amplitudes,<br />
<strong>and</strong> <strong>wave</strong> shapes (morphologies). The QRS complex is the most characteristic <strong>wave</strong>form<br />
of the <strong>ECG</strong> signal. Its high amplitude makes QRS detection easier than other <strong>wave</strong>s. Thus,<br />
it is generally used as a reference with<strong>in</strong> the cardiac cycle. Algorithms for P <strong>and</strong> T <strong>wave</strong>s<br />
detection <strong>and</strong> del<strong>in</strong>eation (determ<strong>in</strong>ation of peaks <strong>and</strong> limits of the <strong>in</strong>dividual P <strong>and</strong> T <strong>wave</strong>s)<br />
usually beg<strong>in</strong> with QRS detection. Search w<strong>in</strong>dows are then def<strong>in</strong>ed before <strong>and</strong> after the QRS<br />
location to seek for the other <strong>wave</strong>s. F<strong>in</strong>ally, an appropriate strategy is used to enhance the<br />
dist<strong>in</strong>ctive features of each <strong>wave</strong> <strong>in</strong> order to f<strong>in</strong>d its peaks <strong>and</strong> limits. Because of the low slope<br />
<strong>and</strong> magnitude of P <strong>and</strong> T <strong>wave</strong>s, as well as the presence of noise, <strong>in</strong>terference, <strong>and</strong> basel<strong>in</strong>e<br />
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