| Introduction | p. 1 |
| Microphone Array Signal Processing | p. 1 |
| Organization of the Book | p. 5 |
| Classical Optimal Filtering | p. 7 |
| Introduction | p. 7 |
| Wiener Filter | p. 8 |
| Frost Filter | p. 16 |
| Algorithm | p. 16 |
| Generalized Sidelobe Canceller Structure | p. 17 |
| Application to Linear Interpolation | p. 19 |
| Kalman Filter | p. 21 |
| A Viable Alternative to the MSE | p. 25 |
| Pearson Correlation Coefficient | p. 26 |
| Important Relations with the SPCC | p. 26 |
| Examples of Optimal Filters Derived from the SPCC | p. 29 |
| Conclusions | p. 37 |
| Conventional Beamforming Techniques | p. 39 |
| Introduction | p. 39 |
| Problem Description | p. 40 |
| Delay-and-Sum Technique | p. 41 |
| Design of a Fixed Beamformer | p. 46 |
| Maximum Signal-to-Noise Ratio Filter | p. 49 |
| Minimum Variance Distortionless Response Filter | p. 52 |
| Approach with a Reference Signal | p. 54 |
| Response-Invariant Broadband Beamformers | p. 55 |
| Null-Steering Technique | p. 58 |
| Microphone Array Pattern Function | p. 61 |
| First Signal Model | p. 62 |
| Second Signal Model | p. 64 |
| Conclusions | p. 65 |
| On the Use of the LCMV Filter in Room Acoustic Environments | p. 67 |
| Introduction | p. 67 |
| Signal Models | p. 67 |
| Anechoic Model | p. 68 |
| Reverberant Model | p. 68 |
| Spatio-Temporal Model | p. 69 |
| The LCMV Filter with the Anechoic Model | p. 69 |
| The LCMV Filter with the Reverberant Model | p. 73 |
| The LCMV Filter with the Spatio-Temporal Model | p. 75 |
| Experimental Results | p. 78 |
| The LCMV Filter in the Frequency Domain | p. 81 |
| Conclusions | p. 83 |
| Noise Reduction with Multiple Microphones: a Unified Treatment | p. 85 |
| Introduction | p. 85 |
| Signal Model and Problem Description | p. 86 |
| Some Useful Definitions | p. 87 |
| Wiener Filter | p. 89 |
| Subspace Method | p. 92 |
| Spatio-Temporal Prediction Approach | p. 95 |
| Case of Perfectly Coherent Noise | p. 97 |
| Adaptive Noise Cancellation | p. 99 |
| Kalman Filter | p. 100 |
| Simulations | p. 101 |
| Acoustic Environments and Experimental Setup | p. 101 |
| Experimental Results | p. 103 |
| Conclusions | p. 114 |
| Noncausal (Frequency-Domain) Optimal Filters | p. 115 |
| Introduction | p. 115 |
| Signal Model and Problem Formulation | p. 116 |
| Performance Measures | p. 117 |
| Noncausal Wiener Filter | p. 120 |
| Parametric Wiener Filtering | p. 124 |
| Generalization to the Multichannel Case | p. 126 |
| Signal Model | p. 126 |
| Definitions | p. 128 |
| Multichannel Wiener Filter | p. 129 |
| Spatial Maximum SNR Filter | p. 132 |
| Minimum Variance Distortionless Response Filter | p. 134 |
| Distortionless Multichannel Wiener Filter | p. 135 |
| Conclusions | p. 136 |
| Microphone Arrays from a MIMO Perspective | p. 139 |
| Introduction | p. 139 |
| Signal Models and Problem Description | p. 140 |
| SISO Model | p. 141 |
| SIMO Model | p. 141 |
| MISO Model | p. 142 |
| MIMO Model | p. 143 |
| Problem Description | p. 144 |
| Two-Element Microphone Array | p. 144 |
| Least-Squares Approach | p. 145 |
| Frost Algorithm | p. 146 |
| Generalized Sidelobe Canceller Structure | p. 148 |
| N-Element Microphone Array | p. 150 |
| Least-Squares and MINT Approaches | p. 150 |
| Frost Algorithm | p. 152 |
| Generalized Sidelobe Canceller Structure | p. 154 |
| Minimum Variance Distortionless Response Approach | p. 156 |
| Simulations | p. 156 |
| Acoustic Environments and Experimental Setup | p. 156 |
| Conclusions | p. 163 |
| Sequential Separation and Dereverberation: the Two-Stage Approach | p. 165 |
| Introduction | p. 165 |
| Signal Model and Problem Description | p. 165 |
| Source Separation | p. 168 |
| 2 x 3 MIMO System | p. 168 |
| M x N MIMO System | p. 172 |
| Speech Dereverberation | p. 175 |
| Direct Inverse | p. 175 |
| Minimum Mean-Square Error and Least-Squares Methods | p. 177 |
| MINT Method | p. 177 |
| Conclusions | p. 180 |
| Direction-of-Arrival and Time-Difference-of-Arrival Estimation | p. 181 |
| Introduction | p. 181 |
| Problem Formulation and Signal Models | p. 184 |
| Single-Source Free-Field Model | p. 184 |
| Multiple-Source Free-Field Model | p. 185 |
| Single-Source Reverberant Model | p. 186 |
| Multiple-Source Reverberant Model | p. 187 |
| Cross-Correlation Method | p. 188 |
| The Family of the Generalized Cross-Correlation Methods | p. 190 |
| Classical Cross-Correlation | p. 191 |
| Smoothed Coherence Transform | p. 191 |
| Phase Transform | p. 192 |
| Spatial Linear Prediction Method | p. 193 |
| Multichannel Cross-Correlation Coefficient Algorithm | p. 196 |
| Eigenvector-Based Techniques | p. 200 |
| Narrowband MUSIC | p. 201 |
| Broadband MUSIC | p. 203 |
| Minimum Entropy Method | p. 205 |
| Gaussian Source Signal | p. 205 |
| Speech Source Signal | p. 206 |
| Adaptive Eigenvalue Decomposition Algorithm | p. 207 |
| Adaptive Blind Multichannel Identification Based Methods | p. 209 |
| TDOA Estimation of Multiple Sources | p. 211 |
| Conclusions | p. 215 |
| Unaddressed Problems | p. 217 |
| Introduction | p. 217 |
| Speech Source Number Estimation | p. 217 |
| Cocktail Party Effect and Blind Source Separation | p. 218 |
| Blind MIMO Identification | p. 220 |
| Conclusions | p. 222 |
| References | p. 223 |
| Index | p. 237 |
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