About the Series |
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xi | |
Preface |
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xiii | |
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xv | |
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1 A Short Introduction to MATLAB® |
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1 | (10) |
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1 | (1) |
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1 | (1) |
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1 | (1) |
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2 | (3) |
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1.4.1 Algebraic Operations |
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2 | (1) |
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3 | (1) |
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4 | (1) |
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5 | (1) |
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5 | (1) |
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6 | (1) |
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1.7 Scripts and Functions |
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6 | (1) |
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1.8 Working with Binary Files |
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7 | (4) |
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1.8.1 Saving to and Loading from Binary Files |
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7 | (2) |
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1.8.2 Saving and Loading Signals Using mat Files |
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9 | (1) |
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9 | (1) |
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1.8.3.1 Unknown Data Type |
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9 | (1) |
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1.8.3.2 Unknown Number of Channels |
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10 | (1) |
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11 | (24) |
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2.1 Stochastic and Deterministic Signals, Concepts of Stationarity and Ergodicity |
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11 | (3) |
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14 | (4) |
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2.2.1 The Sampling Theorem |
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14 | (1) |
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15 | (2) |
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17 | (1) |
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2.3 Linear Time Invariant Systems |
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18 | (3) |
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2.4 Duality of Time and Frequency Domains |
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21 | (7) |
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2.4.1 Continuous Periodic Signal |
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22 | (1) |
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2.4.2 Infinite Continuous Signal |
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22 | (1) |
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2.4.3 Finite Discrete Signal |
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23 | (1) |
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2.4.4 Basic Properties of Fourier Transform |
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23 | (1) |
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2.4.5 Power Spectrum: The Plancherel Theorem and Parse-val's Theorem |
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24 | (1) |
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25 | (1) |
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2.4.7 Uncertainty Principle |
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26 | (2) |
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28 | (5) |
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2.5.1 The Null and Alternative Hypothesis |
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28 | (1) |
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28 | (1) |
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2.5.3 Multiple Comparisons Problem |
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29 | (2) |
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2.5.3.1 Correcting the Significance Level |
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31 | (1) |
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2.5.3.2 Parametric and Non-Parametric Statistical Maps |
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31 | (1) |
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2.5.3.3 False Discovery Rate |
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32 | (1) |
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2.6 Surrogate Data Techniques |
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33 | (2) |
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3 Single Channel (Univariate) Signal |
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35 | (68) |
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35 | (8) |
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37 | (4) |
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3.1.2 Changing the Sampling Frequency |
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41 | (1) |
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42 | (1) |
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42 | (1) |
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43 | (5) |
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3.2.1 Hidden Markov Model |
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43 | (2) |
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45 | (3) |
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48 | (16) |
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3.3.1 Analytic Tools in the Time Domain |
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48 | (1) |
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3.3.1.1 Mean Value, Amplitude Distributions |
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48 | (1) |
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3.3.1.2 Entropy and Information Measure |
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48 | (1) |
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3.3.1.3 Autocorrelation Function |
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49 | (1) |
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3.3.2 Analytic Tools in the Frequency Domain |
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50 | (1) |
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3.3.2.1 Estimators of Spectral Power Density Based on Fourier Transform |
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50 | (1) |
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3.3.2.2 Choice of Windowing Function |
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51 | (5) |
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3.3.2.3 Parametric Models: AR, ARMA |
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56 | (8) |
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3.4 Non-Stationary Signals |
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64 | (29) |
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3.4.1 Instantaneous Amplitude and Instantaneous Frequency |
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64 | (2) |
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3.4.2 Analytic Tools in the Time-Frequency Domain |
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66 | (1) |
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3.4.2.1 Time-Frequency Energy Distributions |
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66 | (3) |
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3.4.2.2 Time-Frequency Signal Decompositions |
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69 | (17) |
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3.4.3 Cross-Frequency Coupling |
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86 | (1) |
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3.4.3.1 Models of Phase-Amplitude Coupling |
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87 | (1) |
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3.4.3.2 Evaluation of Phase-Amplitude Coupling |
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88 | (5) |
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3.5 Non-Linear Methods of Signal Analysis |
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93 | (10) |
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95 | (1) |
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3.5.2 Correlation Dimension |
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95 | (2) |
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3.5.3 Detrended Fluctuation Analysis |
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97 | (1) |
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98 | (1) |
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99 | (1) |
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3.5.6 Approximate, Sample, and Multiscale Entropy |
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99 | (2) |
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3.5.7 Limitations of Non-Linear Methods |
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101 | (2) |
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4 Multiple Channels (Multivariate) Signals |
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103 | (34) |
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4.1 Cross-Estimators: Cross-Correlation, Cross-Spectra, Coherence |
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103 | (3) |
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4.2 Multivariate Autoregressive Model (MVAR) |
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106 | (2) |
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4.2.1 Formulation of MVAR Model |
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106 | (2) |
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4.2.2 MVAR in the Frequency Domain |
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108 | (1) |
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4.3 Measures of Directedness |
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108 | (10) |
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4.3.1 Estimators Based on the Phase Difference |
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108 | (1) |
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109 | (1) |
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4.3.2.1 Granger Causality |
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109 | (1) |
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4.3.2.2 Granger Causality Index and Granger-Geweke Causality |
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110 | (1) |
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4.3.2.3 Directed Transfer Function |
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111 | (4) |
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4.3.2.4 Partial Directed Coherence |
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115 | (1) |
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4.3.2.5 Directed Coherence |
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116 | (2) |
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4.4 Non-Linear Estimators of Dependencies between Signals |
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118 | (7) |
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4.4.1 Kullback-Leibler Entropy, Mutual Information |
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118 | (1) |
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119 | (2) |
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4.4.3 Generalized Synchronization and Synchronization Likelihood |
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121 | (1) |
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4.4.4 Phase Synchronization (Phase Locking Value) |
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122 | (1) |
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4.4.5 Testing the Reliability of the Estimators of Directedness |
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123 | (2) |
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4.5 Comparison of the Multichannel Estimators of Coupling between Time Series |
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125 | (4) |
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4.5.1 Bivariate versus Multivariate Connectivity Estimators |
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125 | (2) |
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4.5.2 Linear versus Non-Linear Estimators of Connectivity |
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127 | (1) |
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4.5.3 The Measures of Directedness |
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128 | (1) |
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4.6 Multivariate Signal Decompositions |
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129 | (8) |
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4.6.1 Principal Component Analysis (PCA) |
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129 | (1) |
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129 | (1) |
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129 | (1) |
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4.6.1.3 Possible Applications |
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130 | (1) |
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4.6.2 Independent Components Analysis (ICA) |
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130 | (1) |
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130 | (1) |
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4.6.2.2 Estimation of ICA |
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131 | (1) |
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132 | (1) |
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4.6.2.4 Possible Applications |
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132 | (1) |
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4.6.3 Common Spatial Patterns |
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133 | (1) |
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4.6.4 Multivariate Matching Pursuit (MMP) |
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134 | (3) |
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5 Application to Biomedical Signals |
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137 | (152) |
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137 | (94) |
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5.1.1 Generation of Brain Signals |
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139 | (1) |
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140 | (3) |
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5.1.3 EEG Measurement, Electrode Systems |
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143 | (2) |
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5.1.4 MEG Measurement, Sensor Systems |
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145 | (1) |
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5.1.5 Elimination of Artifacts |
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145 | (4) |
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5.1.6 Analysis of Continuous EEG Signals |
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149 | (1) |
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5.1.6.1 Single Channel Analysis |
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150 | (1) |
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151 | (1) |
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5.1.6.3 Connectivity Analysis of Brain Signals |
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152 | (4) |
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5.1.6.4 Influence of Volume Conduction on Connectivity Measures |
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156 | (1) |
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5.1.6.5 Graph Theoretical Analysis |
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157 | (3) |
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5.1.6.6 Sleep EEG Analysis |
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160 | (9) |
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5.1.6.7 Analysis of EEG in Epilepsy |
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169 | (9) |
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5.1.6.8 EEG in Monitoring and Anesthesia |
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178 | (1) |
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5.1.7 Analysis of Epoched EEG Signals |
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179 | (3) |
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5.1.7.1 Analysis of Phase-Locked Responses |
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182 | (7) |
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5.1.7.2 In Pursuit of Single Trial Evoked Responses |
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189 | (5) |
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5.1.7.3 Applications of Cross-Frequency Coupling |
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194 | (2) |
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5.1.7.4 Analysis of Non-Phase-Locked Responses |
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196 | (19) |
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5.1.7.5 Analysis of EEG for Applications in Brain-Computer Interfaces |
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215 | (3) |
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5.1.8 fMRI Derived Time Series |
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218 | (3) |
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5.1.8.1 Relation between EEG and fMRI |
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221 | (4) |
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5.1.9 Near-Infrared Spectroscopy Signals |
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225 | (6) |
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231 | (30) |
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231 | (1) |
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5.2.1.1 Measurement Standards |
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231 | (1) |
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5.2.1.2 Physiological Background and Clinical Applications |
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232 | (3) |
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5.2.1.3 Processing of ECG |
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235 | (6) |
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5.2.2 Heart Rate Variability |
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241 | (1) |
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5.2.2.1 Time-Domain Methods of HRV Analysis |
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242 | (1) |
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5.2.2.2 Frequency-Domain Methods of HRV Analysis |
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243 | (1) |
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5.2.2.3 Non-Linear Methods of HRV Analysis |
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244 | (7) |
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251 | (2) |
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5.2.4 Magnetocardiogram and Fetal Magnetocardiogram |
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253 | (1) |
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5.2.4.1 Magnetocardiogram |
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253 | (4) |
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257 | (1) |
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5.2.5 Ballistocardiogram, Seismocardiogram, Photoplethys-mogram |
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258 | (1) |
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259 | (2) |
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261 | (17) |
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5.3.1 Measurement Techniques and Physiological Background |
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261 | (4) |
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5.3.2 Quantification of EMG Features |
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265 | (1) |
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5.3.3 Decomposition of Needle EMG |
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266 | (3) |
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269 | (1) |
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5.3.4.1 Surface EMG Decomposition |
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270 | (8) |
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278 | (8) |
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278 | (3) |
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5.4.2 Otoacoustic Emissions |
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281 | (5) |
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5.5 Multimodal Analysis of Biomedical Signals |
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286 | (3) |
Bibliography |
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289 | (60) |
Index |
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349 | |