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1 | (86) |
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2 | (1) |
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1.2 Discrete- and Continuous-Time Determinist Signals |
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2 | (21) |
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4 | (5) |
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9 | (3) |
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1.2.3 Downsampling and Decimation |
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12 | (1) |
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1.2.4 Anti-Aliasing Filter (AAF) |
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12 | (2) |
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14 | (3) |
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1.2.6 Delta Modulation (DM) |
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17 | (3) |
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1.2.7 Sigma-Delta (Σ -- Δ) Modulation |
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20 | (3) |
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1.3 Discrete- and Continuous-Time Random Signals |
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23 | (64) |
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28 | (6) |
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1.3.2 Monte Carlo Simulation |
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34 | (12) |
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46 | (3) |
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49 | (8) |
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1.3.5 Power Spectrum Density (PSD) |
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57 | (12) |
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1.3.6 Signal Space Representation |
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69 | (13) |
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1.3.7 Mean-Square Sense Sampling Theorem |
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82 | (5) |
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2 Linear and Nonlinear Systems |
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87 | (50) |
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2.1 Linear Systems Theory |
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87 | (17) |
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89 | (2) |
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2.1.2 Response of Linear Systems to Random Signals |
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91 | (13) |
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2.2 Response of Nonlinear Systems to Random Signals |
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104 | (16) |
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2.2.1 Nonlinear Processing of Gaussian Signals |
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105 | (8) |
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2.2.2 Nonlinear Processing of WSS Gaussian Processes |
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113 | (4) |
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2.2.3 Output PSD of DM Devices with WSS Gaussian Input |
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117 | (3) |
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2.3 Systems with Signal + Noise |
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120 | (17) |
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2.3.1 Signal-to-Noise Ratio (SNR) |
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124 | (2) |
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2.3.2 Matched and Optimum Filtering |
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126 | (11) |
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137 | (38) |
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3.1 Electrocardiogram (ECG) |
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138 | (6) |
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139 | (2) |
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141 | (1) |
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141 | (1) |
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141 | (1) |
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142 | (1) |
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142 | (2) |
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3.2 Electroencephalogram (EEG) |
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144 | (27) |
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169 | (1) |
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170 | (1) |
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170 | (1) |
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170 | (1) |
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170 | (1) |
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171 | (1) |
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171 | (4) |
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4 Signal Processing Methods for Biological Signals |
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175 | (102) |
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176 | (3) |
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176 | (2) |
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178 | (1) |
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179 | (7) |
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179 | (1) |
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4.2.2 Entropy and Negentropy |
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180 | (3) |
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183 | (3) |
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4.3 "Distance" Between Two PDFs |
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186 | (14) |
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4.3.1 Kolmogorov-Smirnov (KS) Distance |
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187 | (1) |
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4.3.2 Hellinger Distance (HD) |
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187 | (1) |
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4.3.3 Kullback-Leibler (KL) Divergence |
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188 | (12) |
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4.4 Detection and Estimation Methods |
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200 | (77) |
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4.4.1 Signal Detection Using Hypothesis Testing (HT) |
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200 | (8) |
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4.4.2 Specificity and Sensitivity |
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208 | (30) |
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4.4.3 Parameter Estimation |
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238 | (14) |
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4.4.4 Whittle Likelihood Test (WLT) |
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252 | (6) |
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4.4.5 Frequency Estimation |
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258 | (19) |
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5 Signal Decomposition Methods |
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277 | (100) |
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5.1 Principle Component Analysis |
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277 | (11) |
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5.2 Independent Component Analysis |
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288 | (13) |
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291 | (10) |
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5.3 Wavelet Decomposition (WD) |
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301 | (76) |
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5.3.1 Short Term Fourier Transform (STFT) |
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302 | (12) |
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5.3.2 Continuous WT (CWT) |
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314 | (12) |
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326 | (1) |
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326 | (4) |
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5.3.5 Wavelet Series Expansion (WSE) |
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330 | (4) |
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5.3.6 Discrete Wavelet Transform (DWT) |
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334 | (7) |
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5.3.7 Efficient Realization of DWT |
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341 | (7) |
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5.3.8 Signal Synthesis Using DWT |
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348 | (29) |
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6 References and Concluding Remarks |
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377 | (3) |
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6.1 Signals, Systems (Linear), Digital Signal Processing |
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377 | (1) |
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6.2 Random Signals, System Response to Random Signals, and Detection/Estimation Theory |
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378 | (1) |
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379 | (1) |
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6.4 Principle and Independent Component Analysis |
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379 | (1) |
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379 | (1) |
References |
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380 | |