Linear System Identification in the Short-Time Fourier Transform Domain | p. 1 |
Introduction | p. 2 |
Problem Formulation | p. 4 |
System Identification Using Crossband Filters | p. 6 |
Crossband Filters Representation | p. 6 |
Batch Estimation of Crossband Filters | p. 8 |
Selecting the Optimal Number of Crossband Filters | p. 11 |
System Identification Using the MTF Approximation | p. 14 |
The MTF Approximation | p. 14 |
Optimal Window Length | p. 15 |
The Cross-MTF Approximation | p. 18 |
Adaptive Estimation of Cross-Terms | p. 19 |
Adaptive Control Algorithm | p. 20 |
Experimental Results | p. 22 |
Crossband Filters Estimation | p. 23 |
Comparison of the Crossband Filters and MTF Approaches | p. 23 |
CMTF Adaptation for Acoustic Echo Cancellation | p. 25 |
Conclusions | p. 28 |
Appendix | p. 28 |
References | p. 29 |
Identification of the Relative Transfer Function between Sensors in the Short-Time Fourier Transform Domain | p. 33 |
Introduction | p. 33 |
Identification of the RTF Using Multiplicative Transfer Function Approximation | p. 34 |
Problem Formulation and the Multiplicative Transfer Function Approximation | p. 35 |
RTF Identification Using Non-Stationarity | p. 36 |
RTF Identification Using Speech Signals | p. 37 |
Identification of the RTF Using Convolutive Transfer Function Approximation | p. 38 |
The Convolutive Transfer Function Approximation | p. 39 |
RTF Identification Using the Convolutive Transfer Function Approximation | p. 40 |
Relative Transfer Function Identification in Speech Enhancement Applications | p. 41 |
Blocking Matrix | p. 42 |
The Transfer Function Generalized Sidelobe Canceler | p. 44 |
Conclusions | p. 45 |
References | p. 46 |
Representation and Identification of Nonlinear Systems in the Short-Time Fourier Transform Domain | p. 49 |
Introduction | p. 49 |
Volterra System Identification | p. 51 |
Representation of Volterra Filters in the STFT Domain | p. 55 |
Second-Order Volterra Filters | p. 55 |
High-Order Volterra Filters | p. 59 |
A New STFT Model For Nonlinear Systems | p. 61 |
Quadratically Nonlinear Model | p. 61 |
High-Order Nonlinear Models | p. 65 |
Quadratically Nonlinear System Identification | p. 65 |
Batch Estimation Scheme | p. 67 |
Adaptive Estimation Scheme | p. 72 |
Experimental Results | p. 76 |
Performance Evaluation for White Gaussian Inputs | p. 77 |
Nonlinear Undermodeling in Adaptive System Identification | p. 79 |
Nonlinear Acoustic Echo Cancellation Application | p. 81 |
Conclusions | p. 83 |
Appendix | p. 83 |
References | p. 84 |
Variable Step-Size Adaptive Filters for Echo Cancellation | p. 89 |
Introduction | p. 90 |
Non-Parametric VSS-NLMS Algorithm | p. 92 |
VSS-NLMS Algorithms for Echo Cancellation | p. 96 |
VSS-APA for Echo Cancellation | p. 103 |
VFF-RLS for System Identification | p. 106 |
Simulations | p. 112 |
VSS-NLMS Algorithms for AEC | p. 112 |
VSS-APA for AEC | p. 117 |
VFF-RLS for System Identification | p. 121 |
Conclusions | p. 123 |
References | p. 124 |
Simultaneous Detection and Estimation Approach for Speech Enhancement and Interference Suppression | p. 127 |
Introduction | p. 127 |
Classical Speech Enhancement in Nonstationary Noise Environments | p. 129 |
Simultaneous Detection and Estimation for Speech Enhancement | p. 131 |
Quadratic Distortion Measure | p. 134 |
Quadratic Spectral Amplitude Distortion Measure | p. 137 |
Spectral Estimation Under a Transient Noise Indication | p. 140 |
A Priori SNR Estimation | p. 142 |
Experimental Results | p. 144 |
Simultaneous Detection and Estimation | p. 146 |
Spectral Estimation Under a Transient Noise Indication | p. 147 |
Conclusions | p. 148 |
References | p. 149 |
Speech Dereverberation and Denoising Based on Time Varying Speech Model and Autoregressive Reverberation Model | p. 151 |
Introduction | p. 151 |
Goal | p. 152 |
Technological Background | p. 153 |
Minimum Mean-Squared Error Signal Estimation and Model-Based Approach | p. 154 |
Dereverberation Method | p. 156 |
Heuristic Derivation of Weighted Prediction Error Method | p. 156 |
Reverberation Model | p. 160 |
Clean Speech Model | p. 165 |
Clean Speech Signal Estimator and Parameter Optimization | p. 165 |
Combined Dereverberation and Denoising Method | p. 167 |
Room Acoustics Model | p. 168 |
Clean Speech Model | p. 171 |
Clean Speech Signal Estimator | p. 172 |
Parameter Optimization | p. 173 |
Experiments | p. 179 |
Conclusions | p. 180 |
References | p. 181 |
Codebook Approaches for Single Sensor Speech/Music Separation | p. 183 |
Introduction | p. 183 |
Single Sensor Source Separation | p. 185 |
Problem Formulation | p. 185 |
GSMM-Based Source Separation | p. 186 |
AR-Based Source Separation | p. 187 |
Bayesian Non-Negative Matrix Factorization | p. 188 |
Learning the Codebook | p. 190 |
Multi-Window Source Separation | p. 190 |
General Description of the Algorithm | p. 190 |
Choice of a Confidence Measure | p. 191 |
Practical Choice of the Thresholds | p. 192 |
Estimation of the Expansion Coefficients | p. 193 |
Median Filter | p. 193 |
Smoothing Prior | p. 194 |
GMM Modeling of the Amplitude Coefficients | p. 195 |
Experimental Study | p. 195 |
Evaluation Criteria | p. 195 |
Experimental Setup and Results | p. 195 |
Conclusions | p. 196 |
References | p. 197 |
Microphone Arrays: Fundamental Concepts | p. 199 |
Introduction | p. 199 |
Signal Model | p. 200 |
Array Model | p. 202 |
Signal-to-Noise Ratio | p. 203 |
Array Gain | p. 204 |
Noise Rejection and Desired Signal Cancellation | p. 206 |
Beampattern | p. 207 |
Anechoic Plane Wave Model | p. 208 |
Directivity | p. 210 |
Superdirective Beamforming | p. 210 |
White Noise Gain | p. 211 |
Spatial Aliasing | p. 212 |
Monochromatic Signal | p. 215 |
Broadband Signal | p. 217 |
Mean-Squared Error | p. 218 |
Wiener Filter | p. 220 |
Minimum Variance Distortionless Response | p. 221 |
Conclusions | p. 222 |
References | p. 222 |
The MVDR Beamformer for Speech Enhancement | p. 225 |
Introduction | p. 226 |
Problem Formulation | p. 227 |
From Speech Distortion Weighted Multichannel Wiener Filter to Minimum Variance Distortionless Response Filter | p. 230 |
Speech Distortion Weighted Multichannel Wiener Filter | p. 230 |
Minimum Variance Distortionless Response Filter | p. 232 |
Decomposition of the Speech Distortion Weighted Multichannel Wiener Filter | p. 234 |
Equivalence of MVDR and Maximum SNR Beamformer | p. 235 |
Performance Measures | p. 235 |
Performance Analysis | p. 237 |
On the Comparison of Different MVDR Beamformers | p. 237 |
Local Analyzes | p. 239 |
Global Analyzes | p. 241 |
Non-Coherent Noise Field | p. 242 |
Coherent plus Non-Coherent Noise Field | p. 243 |
Performance Evaluation | p. 244 |
Influence of the Number of Microphones | p. 245 |
Influence of the Reverberation Time | p. 245 |
Influence of the Noise Field | p. 247 |
Example Using Speech Signals | p. 249 |
Conclusions | p. 251 |
Appendix | p. 251 |
References | p. 253 |
Extraction of Desired Speech Signals in Multiple-Speaker Reverberant Noisy Environments | p. 255 |
Introduction | p. 256 |
Problem Formulation | p. 259 |
Proposed Method | p. 261 |
The LCMV and MVDR Beamformers | p. 261 |
The Constraints Set | p. 262 |
Equivalent Constraints Set | p. 263 |
Modified Constraints Set | p. 264 |
Estimation of the Constraints Matrix | p. 266 |
Interferences Subspace Estimation | p. 267 |
Desired Sources RTF Estimation | p. 269 |
Algorithm Summary | p. 270 |
Experimental Study | p. 271 |
The Test Scenario | p. 272 |
Simulated Environment | p. 274 |
Real Environment | p. 276 |
Conclusions | p. 277 |
References | p. 278 |
Spherical Microphone Array Beamforming | p. 281 |
Introduction | p. 281 |
Spherical Array Processing | p. 282 |
Regular Beam Pattern | p. 284 |
Delay-and-Sum Beam Pattern | p. 286 |
Dolph-Chebyshev Beam Pattern | p. 288 |
Optimal Beamforming | p. 290 |
Beam Pattern with Desired Multiple Nulls | p. 293 |
2D Beam Pattern and its Steering | p. 295 |
Near-Field Beamforming | p. 297 |
Direction-of-Arrival Estimation | p. 300 |
Conclusions | p. 303 |
References | p. 303 |
Steered Beamforming Approaches for Acoustic Source Localization | p. 307 |
Introduction | p. 307 |
Signal Model | p. 309 |
Spatial and Spatiotemporal Filtering | p. 310 |
Parameterized Spatial Correlation Matrix (PSCM) | p. 311 |
Source Localization Using Parameterized Spatial Correlation | p. 313 |
Steered Response Power | p. 313 |
Minimum Variance Distortionless Response | p. 315 |
Maximum Eigenvalue | p. 316 |
Broadband MUSIC | p. 318 |
Minimum Entropy | p. 320 |
Sparse Representation of the PSCM | p. 326 |
Linearly Constrained Minimum Variance | p. 329 |
Autoregressive Modeling | p. 331 |
Challenges | p. 333 |
Conclusions | p. 334 |
References | p. 335 |
Index | p. 339 |
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