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1 Mathematical Methods of Signal Processing in Neuroscience |
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1 | (14) |
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1 | (1) |
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1.2 Nonstationarity of Neurophysiological Data |
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2 | (2) |
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1.3 Wavelets in Basic Sciences and Neuroscience |
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4 | (1) |
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1.4 Automatic Processing of Experimental Data in Neuroscience |
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5 | (1) |
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1.5 Brain-Computer Interfaces |
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6 | (1) |
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7 | (3) |
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10 | (5) |
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2 Brief Tour of Wavelet Theory |
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15 | (60) |
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2.1 From Fourier Analysis to Wavelets |
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16 | (10) |
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2.2 Continuous Wavelet Transform |
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26 | (35) |
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2.2.1 Main Definitions. Properties of the Continuous Wavelet Transform |
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26 | (5) |
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31 | (3) |
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2.2.3 Numerical Implementation of the Continuous Wavelet Transform |
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34 | (10) |
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2.2.4 Visualisation of Wavelet Spectra. Wavelet Spectra of Model Signals |
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44 | (7) |
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2.2.5 Phase of the Wavelet Transform |
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51 | (10) |
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2.3 Discrete Wavelet Transform |
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61 | (10) |
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2.3.1 Comparison of the Discrete and Continuous Wavelet Transforms |
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61 | (3) |
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64 | (7) |
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71 | (4) |
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3 Analysis of Single Neuron Recordings |
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75 | (44) |
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75 | (1) |
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3.2 Wavelet Analysis of Intracellular Dynamics |
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76 | (8) |
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3.2.1 Interference Microscopy and Subcellular Dynamics |
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76 | (2) |
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3.2.2 Modulation of High Frequency Oscillation by Low Frequency Processes |
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78 | (1) |
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3.2.3 Double Wavelet Transform and Analysis of Modulation |
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79 | (2) |
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3.2.4 Modulation of Spike Trains by Intrinsic Neuron Dynamics |
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81 | (3) |
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3.3 Information Encoding by Individual Neurons |
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84 | (15) |
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3.3.1 Vibrissae Somatosensory Pathway |
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84 | (2) |
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3.3.2 Classification of Neurons by Firing Patterns |
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86 | (1) |
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3.3.3 Drawbacks of the Traditional Approach to Information Processing |
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87 | (1) |
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3.3.4 Wavelet Transform of Spike Trains |
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88 | (3) |
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3.3.5 Dynamical Stability of the Neuronal Response |
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91 | (3) |
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3.3.6 Stimulus Responses of Trigeminal Neurons |
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94 | (5) |
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3.4 Wavelet Coherence for Spike Trains: A Way to Quantify Functional Connectivity |
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99 | (16) |
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3.4.1 Wavelet Coherence of Two Point Processes |
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100 | (1) |
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3.4.2 Measure of Functional Coupling Between Stimulus and Neuronal Response |
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101 | (2) |
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3.4.3 Functional Connectivity of Gracilis Neurons to Tactile Stimulus |
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103 | (12) |
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115 | (4) |
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4 Classification of Neuronal Spikes from Extracellular Recordings |
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119 | (56) |
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119 | (1) |
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4.2 General Principles of Spike Sorting |
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120 | (2) |
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4.3 Spike Detection Over a Broadband Frequency Activity |
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122 | (3) |
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125 | (3) |
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4.5 Principal Component Analysis as Spike-Feature Extractor |
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128 | (4) |
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128 | (2) |
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130 | (2) |
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4.6 Wavelet Transform as Spike-Feature Extractor |
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132 | (3) |
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4.6.1 Wavelet Spike Classifier |
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133 | (1) |
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133 | (2) |
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4.7 Wavelet Shape-Accounting Classifier |
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135 | (2) |
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4.8 Performance of PCA Versus WT for Feature Extraction |
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137 | (3) |
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4.9 Sensitivity of Spike Sorting to Noise |
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140 | (4) |
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4.9.1 Impact of High/Low Frequency Noise on PCA and WT |
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140 | (2) |
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4.9.2 Proper Noise Filtering May Improve Spike Sorting |
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142 | (2) |
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4.10 Optimal Sorting of Spikes with Wavelets and Adaptive Filtering |
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144 | (7) |
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4.10.1 Noise Statistics and Spike Sorting |
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145 | (1) |
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4.10.2 Parametric Wavelet Sorting with Advanced Filtering |
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146 | (5) |
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4.11 Spike Sorting by Artificial Neural Networks |
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151 | (9) |
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152 | (2) |
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4.11.2 Artificial Neural Networks |
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154 | (2) |
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4.11.3 Training the Artificial Neural Network |
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156 | (1) |
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4.11.4 Algorithm for Spike Sorting Using Neural Networks |
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157 | (3) |
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4.12 Artificial Wavelet Neural Networks for Spike Sorting |
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160 | (11) |
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4.12.1 Structure of Wavelet Neural Networks |
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161 | (1) |
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4.12.2 Wavelet Neural Networks |
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161 | (10) |
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171 | (4) |
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5 Analysis of Gamma-Waves in Multielectrode LFP Recordings |
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175 | (36) |
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175 | (2) |
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5.2 Disentanglement of Raw LFP Recordings into Pathway-Specific Generators |
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177 | (7) |
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5.2.1 LFP Recordings and Current-Source-Density Analysis |
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177 | (3) |
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5.2.2 Decomposition of LFPs into Pathway-Specific Generators |
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180 | (4) |
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5.3 Localization and Quantification of Gamma Waves in the Schaffer-Generator by Wavelet Analysis |
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184 | (8) |
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5.3.1 Method for Detecting Gamma Waves |
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184 | (4) |
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5.3.2 Elementary Micro-fEPSPs in Ongoing Schaffer Activity |
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188 | (2) |
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5.3.3 Detected Gamma Events Help to Establish Causal Relations Between CA3 and CA1 Pyramidal Cells |
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190 | (2) |
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5.4 Improved Identification of Micro-fEPSP Events |
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192 | (8) |
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5.4.1 Distortion of Micro-fEPSP Events by Wavelet Method |
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192 | (1) |
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5.4.2 Likelihood Enhanced Wavelet (LeW) Method |
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193 | (7) |
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5.5 Bilateral Integration of Gamma-Parsed Information |
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200 | (6) |
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5.5.1 Experimental Recordings and Retrieval of Bilateral Micro-fEPSP Events |
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202 | (1) |
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5.5.2 Analysis of Bilateral CA3-CA1 Pathways |
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203 | (3) |
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206 | (2) |
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208 | (3) |
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6 Wavelet Approach to the Study of Rhythmic Neuronal Activity |
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211 | (32) |
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211 | (1) |
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6.2 Basic Principles of Electroencephalography |
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212 | (4) |
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6.2.1 Electrical Biopotential: From Neuron to Brain |
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213 | (1) |
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6.2.2 Application of EEG in Epilepsy Research |
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214 | (2) |
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6.3 General Principles of Time-Frequency Analysis of EEG |
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216 | (13) |
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6.3.1 The Need for Mathematical Analysis of EEG |
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216 | (1) |
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6.3.2 Time-Frequency Analysis of EEG: From Fourier Transform to Wavelets |
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217 | (4) |
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6.3.3 Time-Frequency Analysis of Spike-Wave Discharges by Means of Different Mother Wavelets |
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221 | (8) |
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6.4 Applications of Wavelets in Electroencephalography |
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229 | (6) |
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6.4.1 Time-Frequency Analysis of EEG Structure |
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230 | (1) |
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6.4.2 Automatic Detection of Oscillatory Patterns and Different Rhythms in Pre-recorded EEG |
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230 | (1) |
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6.4.3 Classification of Oscillatory Patterns |
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231 | (1) |
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6.4.4 Real-Time Detection of Oscillatory Patterns in EEG |
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231 | (1) |
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6.4.5 Multichannel EEG Analysis of Synchronization of Brain Activity |
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232 | (1) |
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6.4.6 Artifact Suppression in Multichannel EEG Using Wavelets and Independent Component Analysis |
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232 | (1) |
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6.4.7 Study of Cognitive Processes |
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233 | (2) |
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235 | (8) |
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7 Wavelet-Based Diagnostics of Paroxysmal Activity in EEG and Brain-Computer Interfaces for Epilepsy Control |
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243 | (60) |
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243 | (2) |
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7.2 Mother Wavelet Function in the Continuous Wavelet Transform |
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245 | (2) |
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7.3 Detection of Spike-Wave Discharges (Absence Epilepsy) in WAG/Rij Rats |
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247 | (5) |
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7.4 Spindle-Like Oscillations and Spike-Wave Epilepsy |
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252 | (23) |
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7.4.1 Time-Frequency Analysis of Spindle-Like Oscillatory Patterns |
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255 | (7) |
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7.4.2 Wavelet-Based Approach for Detecting Sleep Spindles and 5-9 Hz Oscillations in EEG |
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262 | (3) |
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7.4.3 Classification of Normal and Abnormal Spindle Oscillations by Means of Adaptive Wavelet Analysis |
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265 | (10) |
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7.5 Pro-epileptic Activity and Undeveloped Spike-Wave Seizures in Genetically Prone Subjects |
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275 | (5) |
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7.5.1 Time-Frequency Characteristics of Pro-epileptic Patterns in EEG in WAG/Rij Rats |
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275 | (1) |
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7.5.2 Algorithm for the Automatic Detection of Pro-epileptic Patterns in EEG |
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276 | (4) |
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7.6 Brain-Computer Interface for On-Line Diagnostics of Epileptic Seizures |
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280 | (7) |
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7.6.1 On-Line SWD Detection Algorithm |
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281 | (3) |
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7.6.2 Experimental Verification of the Algorithm and On-Line SWD Diagnostics |
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284 | (3) |
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7.7 Brain Stimulation Brain-Computer Interface for Prediction and Prevention of Epileptic Seizures |
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287 | (7) |
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7.7.1 Precursor Wavelet-Based On-Line Detection |
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287 | (4) |
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7.7.2 Absence Seizure Control by a Brain Computer Interface |
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291 | (3) |
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294 | (9) |
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8 Analysis of Visual Sensory Processing in the Brain and Brain-Computer Interfaces for Human Attention Control |
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303 | (48) |
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303 | (3) |
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8.2 Ambigous Stimuli as a Tool to Study Visual Perception |
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306 | (2) |
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8.3 Local and Integrative Neural Activity During Visual Sensory Processing |
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308 | (16) |
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309 | (6) |
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8.3.2 Functional Connectivity |
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315 | (9) |
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8.4 Visual Sensory Processing and the Human Factors |
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324 | (7) |
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8.4.1 Different Scenarios of Visual Perception |
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325 | (2) |
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8.4.2 Spectral Properties of the Different Scenarios |
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327 | (2) |
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8.4.3 Single-Trial Analysis |
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329 | (2) |
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8.5 BCIs for the Control of Human Condition During Sensory Processing Tasks |
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331 | (13) |
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8.5.1 Wavelet-Based Approach to Estimate Attention in BCI |
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332 | (2) |
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8.5.2 Testing the Feedback Effect |
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334 | (3) |
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8.5.3 Cognitive Load Distribution via BCI |
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337 | (7) |
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344 | (7) |
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9 Analysis and Real-Time Classification of Motor-Related EEG and MEG Patterns |
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351 | (32) |
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9.1 Real and Imagery Movements |
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351 | (9) |
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9.1.1 Wavelet-Transform Modulus Maxima (WTMM) |
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353 | (4) |
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9.1.2 Time--Frequency Analysis |
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357 | (3) |
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9.2 Visual and Kinestetic Motor Imagery |
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360 | (6) |
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362 | (1) |
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362 | (3) |
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9.2.3 Neurophysiological Aspects of Motor Imagery |
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365 | (1) |
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9.3 Age-Related Distinctions in EEG Signals During Execution of Motor Tasks Characterized in Terms of Wavelet Spectra |
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366 | (11) |
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9.3.1 Experimental Study and Motor Brain Response Time Analysis |
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367 | (2) |
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9.3.2 Time-Frequency Analysis of Brain Response on Motor Activity |
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369 | (5) |
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9.3.3 Classification of Wavelet Spectra by Machine Learning Techniques |
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374 | (3) |
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377 | (6) |
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384 | |