njit-etd2003-081 - New Jersey Institute of Technology
njit-etd2003-081 - New Jersey Institute of Technology njit-etd2003-081 - New Jersey Institute of Technology
TABLE OF CONTENTS (Continued) Chapter Page 3.2 The Uncertainty Principle 47 3.3 The Analytic Signal and Instantaneous Frequency 48 3.4 Properties of Time-Frequency Distributions 50 3.5 Covariance and Invariance 52 3.6 Comparison of Time-Frequency Distributions 53 3.6.1 Short Time Fourier Transform 53 3.6.2 Wigner Distribution 56 3.6.3 The Choi-William (Exponential Distribution) 62 3.7 The Wavelet Transform 65 3.7.1 Continuous Wavelet Transform 67 3.7.2 Parseval Relation of Wavelet Transform 73 3.7.3 Discrete Wavelet Transform 74 3.8 Power Spectral Analysis of I-IRV 77 3.9 Power Spectral Analysis of Blood Pressure 85 3.10 Coherence Analysis 87 3.11 Weighted-coherence 91 3.12 Partial Coherence Analysis 92 3.12.1 Multivariate Analysis 92 3.12.2 Partial Spectral 92 3.13 System Identification 95
TABLE OF CONTENTS (Continued) Chapter Page 3.13.1 Estimating Transfer Functions of Non-linear Systems 96 3.13.2 The ARX Models 101 3.14 Principal Component Analysis 107 3.14.1 Basic Concepts of PCA 109 3.15 Cluster Analysis 112 3.15.1 Joining (Tree Clustering) 113 3.15.2 Hierarchical Tree 113 3.15.3 Distance Measures 114 3.15.4 Euclidian Distance 115 3.15.5 Squared Euclidian Distance 116 3.15.6 City Block (Manhattan) Distance 116 3.15.7 Chebychev Distance 116 3.15.8 Power Distance 116 3.15.9 Percent Disagreement 117 3.15.10 Amalgamation or Linkage Rules 117 3.15.11 Single Linkage (Nearest Neighbor) 118 3.15.12 Complete Linkage (Furthest Neighbor) 118 3.15.13 Unweighted Pair-Group Average 118 3.15.14 Weighted Pair-Group Average 119 3.15.15 Unweighted Pair-Group Centroid 119 xi
- Page 1 and 2: Copyright Warning & Restrictions Th
- Page 3 and 4: ABSTRACT TIME-FREQUENCY INVESTIGATI
- Page 5 and 6: TIME-FREQUENCY INVESTIGATION OF HEA
- Page 7 and 8: APPROVAL PAGE TIME-FREQUENCY INVEST
- Page 9 and 10: BIOGRAPHICAL SKETCH (Continued) D.A
- Page 11 and 12: ACKNOWLEDGMENT The author wishes to
- Page 13: TABLE OF CONTENTS Chapter Page 1 IN
- Page 17 and 18: TABLE OF CONTENTS (Continued) Chapt
- Page 19 and 20: TABLE OF CONTENTS (Continued) Chapt
- Page 21 and 22: LIST OF FIGURES Figure Page 2.1 The
- Page 23 and 24: LIST OF FIGURES (Continued) Figure
- Page 25 and 26: LIST OF FIGURES (Continued) Figure
- Page 27 and 28: ABBREVIATIONS A ABP Arterial Blood
- Page 29 and 30: ABBREVIATIONS (Continued) P PID Pro
- Page 31 and 32: 2 mortality and sudden death. [2] B
- Page 33 and 34: 4 1) Patients with severe pulmonary
- Page 35 and 36: 6 examined for determining the inte
- Page 37 and 38: 8 identified using principal compon
- Page 39 and 40: 1 0 1. Present the application of t
- Page 41 and 42: 12 1.3 Outline of the Dissertation
- Page 43 and 44: CHAPTER 2 PHYSIOLOGY BACKGROUND Bio
- Page 45 and 46: 16 Figure 2.2 The systemic and pulm
- Page 47 and 48: 18 illustrated in Figure 2.3. The i
- Page 49 and 50: 20 2.2 Blood Pressure The force tha
- Page 51 and 52: 22 2.4 The Nervous System Human beh
- Page 53 and 54: 24 The sympathetic nerve fibers lea
- Page 55 and 56: 26 Without these sympathetic and pa
- Page 57 and 58: 28 center in the medulla, which con
- Page 59 and 60: 30 Figure 2.6 Autonomic innervation
- Page 61 and 62: 32 average heart rate was measured
- Page 63 and 64: 34 However, they do note that there
TABLE OF CONTENTS<br />
(Continued)<br />
Chapter<br />
Page<br />
3.13.1 Estimating Transfer Functions <strong>of</strong> Non-linear Systems 96<br />
3.13.2 The ARX Models 101<br />
3.14 Principal Component Analysis 107<br />
3.14.1 Basic Concepts <strong>of</strong> PCA 109<br />
3.15 Cluster Analysis 112<br />
3.15.1 Joining (Tree Clustering) 113<br />
3.15.2 Hierarchical Tree 113<br />
3.15.3 Distance Measures 114<br />
3.15.4 Euclidian Distance 115<br />
3.15.5 Squared Euclidian Distance 116<br />
3.15.6 City Block (Manhattan) Distance 116<br />
3.15.7 Chebychev Distance 116<br />
3.15.8 Power Distance 116<br />
3.15.9 Percent Disagreement 117<br />
3.15.10 Amalgamation or Linkage Rules 117<br />
3.15.11 Single Linkage (Nearest Neighbor) 118<br />
3.15.12 Complete Linkage (Furthest Neighbor) 118<br />
3.15.13 Unweighted Pair-Group Average 118<br />
3.15.14 Weighted Pair-Group Average 119<br />
3.15.15 Unweighted Pair-Group Centroid 119<br />
xi
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