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1 | (16) |
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1 | (3) |
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1.2 State of the Art in High-Resolution Spatial Sound Reproduction |
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4 | (1) |
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1.3 State of the Art in High-Resolution Spatial Sound Analysis |
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5 | (1) |
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1.4 State of the Art in Adaptive Filtering |
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6 | (4) |
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1.4.1 Frequency-Domain Adaptive Filtering |
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7 | (1) |
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1.4.2 Proportionate Adaptive Filtering Algorithms |
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8 | (1) |
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1.4.3 Model-Based Adaptive Filtering and Post-Processing |
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8 | (1) |
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1.4.4 Convergence Enhancement for Stereo Acoustic Echo Cancellation by a Preprocessing Stage |
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9 | (1) |
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1.5 Overview of This Book |
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10 | (7) |
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11 | (6) |
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Part I Theoretical Multichannel System Identification |
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2 Fundamentals of Adaptive Filter Theory |
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17 | (6) |
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2.1 Signal and System Model |
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17 | (2) |
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2.1.1 Standard Representation |
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17 | (1) |
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2.1.2 Compact Representation |
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18 | (1) |
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2.2 Optimal System Identification in Least-Squares Sense |
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19 | (4) |
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2.2.1 The Wiener--Hopf Equation |
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19 | (1) |
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2.2.2 Derivation of Iterative Estimation Approaches |
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20 | (2) |
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22 | (1) |
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3 Spatio-Temporal Regularized Recursive Least Squares Algorithm |
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23 | (12) |
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3.1 Regularization from a Probabilistic Point of View |
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23 | (2) |
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3.2 Structured Regularization |
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25 | (1) |
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3.3 p,q-norm Constrained Adaptive Filtering |
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25 | (2) |
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3.4 Discussion of Special Cases |
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27 | (3) |
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3.4.1 Multichannel Sparse Adaptive Filtering |
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27 | (2) |
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3.4.2 Efficient Computation of the Regularized Inverse |
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29 | (1) |
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3.5 Ill-Conditioning in Multichannel Adaptive Filtering and Sparseness Constraint |
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30 | (1) |
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31 | (4) |
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33 | (2) |
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4 Sparse Representation of Multichannel Acoustic Systems |
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35 | (20) |
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35 | (13) |
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4.1.1 Prior Knowledge from Physics |
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35 | (8) |
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4.1.2 Incorporating the Prior Knowledge on Spatially Discrete Acoustic Systems |
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43 | (3) |
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4.1.3 Eigenspace Adaptive Filtering |
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46 | (2) |
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48 | (1) |
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4.3 Source-Domain Estimation |
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48 | (3) |
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4.3.1 Permutation Problem |
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50 | (1) |
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4.4 Efficient System Identification in the Source Domain |
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51 | (1) |
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51 | (1) |
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52 | (1) |
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52 | (3) |
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54 | (1) |
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5 Unique System Identification from Projections |
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55 | (12) |
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5.1 Generic Spatially Transformed Adaptive Filtering for Ill-Conditioned Problems |
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55 | (3) |
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5.2 System Eigenspace Estimation |
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58 | (3) |
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5.2.1 Validity of the Estimated Eigenspace |
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60 | (1) |
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61 | (1) |
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61 | (6) |
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5.3.1 Performance Measures |
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61 | (1) |
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62 | (1) |
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62 | (5) |
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Part II Practical Aspects |
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6 Geometrical Constraints |
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67 | (30) |
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6.1 Synthesis of Sound Fields |
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69 | (2) |
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6.2 Analytical Solution to the Synthesis of Sound Figures |
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71 | (6) |
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6.2.1 Mathematical Problem Formulation |
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71 | (1) |
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6.2.2 Conditions for the Synthesis of Sound Figures |
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72 | (5) |
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6.3 Synthesis of Closed Zones of Quiet |
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77 | (4) |
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6.3.1 Approximation of the Driving Functions Based on the Kirchhoff-Helmholtz Integral |
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79 | (1) |
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6.3.2 Analytical Derivation of the Driving Functions |
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79 | (2) |
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6.4 Linear Distribution of Secondary Sources as Limiting Case of a Closed Distribution |
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81 | (8) |
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6.4.1 Linear Secondary Source Distributions |
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81 | (2) |
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6.4.2 Arrays with Convex Geometries as Linear Arrays |
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83 | (1) |
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6.4.3 Example of the Synthesis of Sound Figures on a Line Using Linear Arrays |
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84 | (3) |
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6.4.4 Sound Figures as Functions on Two-Dimensional Manifolds |
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87 | (2) |
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6.5 Simulations and Discussion of Practical Aspects |
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89 | (8) |
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6.5.1 Limitations of the Synthesis of Sound Figures |
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91 | (1) |
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6.5.2 Robustness Due to Practical Aspects |
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91 | (2) |
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93 | (4) |
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7 Acoustic Echo Suppression |
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97 | (12) |
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7.1 Problem Formulation and the Proposed Approach |
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98 | (4) |
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98 | (1) |
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7.1.2 Initial Guess of the Near-End Signal |
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99 | (2) |
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7.1.3 Complexity Reduction for the Massive Multichannel Case |
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101 | (1) |
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7.2 MVDR Processing Stage |
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102 | (2) |
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103 | (1) |
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7.2.2 Distortionless Response |
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104 | (1) |
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104 | (5) |
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7.3.1 Performance Measures |
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104 | (1) |
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105 | (2) |
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107 | (2) |
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109 | (2) |
Appendix A Definitions and Useful Identities |
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111 | (2) |
Appendix B Derivation of the Hessian Matrix for a Least-Squares Problem with Structured Regularization |
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113 | |