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112   Control theory in biomedical engineering


          and their durations. It uses the functions developed in the WFDB toolbox
          developed by Silva and Moody (2014) and it has proved its effectiveness in
          several researches (Soria and Martı ´nez, 2009).
             The first step in the Wavedet algorithm is to detect the QRS complexes
          of each heartbeat, as it is shown in Fig. 7. In fact, the QRS complex is the
          most repeating peak in the ECG signal. It corresponds to the depolarization
          of the right and left ventricles. It is mainly used to determine a patient’s
          arrhythmias. Moreover, the high amplitude of the QRS complex facilitates
          its detection relative to other waves (De Chazel et al., 2004). Once the com-
          plex QRS is identified, R, S, P and T waves are deduced, as shown in Figs. 8
          and 9, respectively.
             Once the ECG waves have been delineated, other measures, such as
          duration, can be calculated. In fact, six equations (Eqs. (1)–(6)) are used
          to measure the duration between waves (P, Q, R, S and T) by using each
          wave’s beginning (on) and end (off ) (De Chazel et al., 2004).


                             Intervalle_PR ¼ QRS  P off                 (1)
                                                 on
                               Intervalle_PT ¼ T on  P off              (2)
                                                                        (3)
                               Intervalle_ST ¼ T on  S off
                               Intervalle_QT ¼ T on  Q off              (4)



                   140
                                                          Signal
                   120                                    QRS complex
                   100
                    80
                   Voltage(mV)  60
                    40

                    20
                     0
                   –20
                   –40
                   –60
                          0.5   1    1.5  2    2.5  3    3.5   4
                                           Time(s)
          Fig. 7 QRS complex detection for recording 100 from MIT-BIH arrhythmia database.
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