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Appendix B - CD Tools










                              CD tools include both didactical Microsoft Excel files and installable programs for
                              assisting in PR design.



                              B.l Adaptive Filtering

                              The ECG 5OHz.xZs file allows one to perform adaptive filtering of  a 50Hz noise
                              signal  added  to  an  electrocardiographic  signal  (ECG),  using  an  LMS  linear
                              discriminant (two-input linear neural  network). The user can change the learning
                              rate  and  other  parameters of  the  filter  in  order  to  get  insight  into  the  learning
                              properties of the gradient descent method.
                                Variables:

                                T      Time in seconds                   ECG     Original ECG signal
                                sin    50 Hz sinusoidal noise             nG     Noise gain
                                t      Target signal: ECG + noise         eta    Learning factor
                                n  1, n2  Discriminant inputs            r       Discriminant output
                                wl, w2  Weights                          e       Error signal
                                phi    Phase angle of discriminant inputs
                                g      Amplitude factor of discriminant inputs

                              Author: JP Marques de S5, Engineering Faculty, Oporto University.



                              B.2 Density Estimation

                              The Parzen.xls file allows one  to  perform  experiments of  density estimation on
                              data with log norm distribution, using the Parzen window method. The user can see
                              the effect of  changing the window  width  and the number of  training samples. A
                              worksheet containing  the  values of  feature ARM for the first two classes of  the
                              Cork Stoppers  dataset allows one to perform  a Bayesian classification based  on
                              Parzen window estimation of the distributions.

                              Author: JP Marques de SB, Engineering Faculty, Oporto University.
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