njit-etd2003-081 - New Jersey Institute of Technology

njit-etd2003-081 - New Jersey Institute of Technology njit-etd2003-081 - New Jersey Institute of Technology

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TABLE OF CONTENTS (Continued) Chapter Page 3.15.16 Weighted Pair-Group Centroid 119 3.15.17 Ward's Method 120 3.15.18 Two-way Joining 120 3.15.19 K-means Clustering 122 3.15.20 Computations 123 3.15.21 Interpretation of Results 123 4 METHODS 124 4.1 Experiment Protocol 124 4.1.1 Study Procedure 124 4.1.2 Data Acquisition Procedure 125 4.2 Data Analysis 131 4.2.1 Wigner Time Frequency Analysis 131 4.2.2 Power Spectrum Analysis of Heart Rate Variability 132 4.2.3 Power Spectrum Analysis of Blood Pressure Variability 134 4.2.4 Coherence and Weighted-coherence of HR and Respiration 135 4.2.5 Coherence and Weighted-coherence of HR and Blood Pressure 136 4.2.6 Partial Coherence 136 4.2.7 Time-Frequency Analysis 137 4.2.8 System Identification Analysis 142 4.2.9 Analysis of Generation of broadband Respiration Signal 142 xii

TABLE OF CONTENTS (Continued) Chapter Page 4.2.10 Principal Component Analysis 145 4.2.11 Cluster Analysis 148 5 RESULTS 149 5.1 Spectral Analysis 149 5.2 Time Frequency Analysis 158 5.2.1 Time Frequency Analysis Applied to Sine Waves 158 5.2.2 Time Frequency Analysis of Heart Rate Variability 165 5.2.3 Time Frequency Analysis (WL) of COPD HRV data 171 5.2.4 Best Distribution of TF Representation for HRV Study 175 5.2.5 Best Wavelet Selection for HRV TFR 176 5.2.6 Vagal Tone and Sympathovagal balance of COPD subjects 180 5.2.7 Time Frequency Analysis (Wavelet) of BPV 188 5.3 Coherence/Partial Coherence of Heart Rate Variability 199 5.4 Cardiovascular System Models for Normal Subjects 215 5.5 Cardiovascular System Models for COPD Subjects 225 5.6 PCA 227 5.7 Cluster Analysis 234 6 CONCLUSIONS 237 6.1 Future Work 241 APPENDIX A EXERCISE PHYSIOLOGY 242

TABLE OF CONTENTS<br />

(Continued)<br />

Chapter<br />

Page<br />

4.2.10 Principal Component Analysis 145<br />

4.2.11 Cluster Analysis 148<br />

5 RESULTS 149<br />

5.1 Spectral Analysis 149<br />

5.2 Time Frequency Analysis 158<br />

5.2.1 Time Frequency Analysis Applied to Sine Waves 158<br />

5.2.2 Time Frequency Analysis <strong>of</strong> Heart Rate Variability 165<br />

5.2.3 Time Frequency Analysis (WL) <strong>of</strong> COPD HRV data 171<br />

5.2.4 Best Distribution <strong>of</strong> TF Representation for HRV Study 175<br />

5.2.5 Best Wavelet Selection for HRV TFR 176<br />

5.2.6 Vagal Tone and Sympathovagal balance <strong>of</strong> COPD subjects 180<br />

5.2.7 Time Frequency Analysis (Wavelet) <strong>of</strong> BPV 188<br />

5.3 Coherence/Partial Coherence <strong>of</strong> Heart Rate Variability 199<br />

5.4 Cardiovascular System Models for Normal Subjects 215<br />

5.5 Cardiovascular System Models for COPD Subjects 225<br />

5.6 PCA 227<br />

5.7 Cluster Analysis 234<br />

6 CONCLUSIONS 237<br />

6.1 Future Work 241<br />

APPENDIX A EXERCISE PHYSIOLOGY 242

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