Fundamentals of Spherical Array Processing - Info and Reading Options

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Intro -- Preface -- Contents -- 1 Mathematical Background -- 1.1 Functions on the Sphere -- 1.2 Spherical Harmonics -- 1.3 Exponential and Legendre Functions -- 1.4 Spherical Fourier Transform -- 1.5 Some Useful Functions -- 1.6 Rotation of Functions -- 1.7 Spherical Convolution and Correlation -- 2 Acoustical Background -- 2.1 The Acoustic Wave Equation -- 2.2 Spherical Bessel and Hankel Functions -- 2.3 A Single Plane Wave -- 2.4 Plane-Wave Composition -- 2.5 Point Sources -- 2.6 Sound Pressure Around a Rigid Sphere -- 2.7 Translations of Fields -- 3 Sampling the Sphere -- 3.1 Sampling Order-Limited Functions -- 3.2 Equal-Angle Sampling -- 3.3 Gaussian Sampling -- 3.4 Uniform and Nearly-Uniform Sampling -- 3.5 Numerical Computation of Sampling Weights -- 3.6 The Discrete Spherical Fourier Transform -- 3.7 Spatial Aliasing -- 4 Spherical Array Configurations -- 4.1 Single Open Sphere -- 4.2 Rigid Sphere -- 4.3 Open Sphere with Cardioid Microphones -- 4.4 Dual-Radius Open Sphere -- 4.5 Robustness to Errors and Numerical Array Design -- 4.6 Design Examples with Robustness Analysis -- 4.7 Spherical Shell Configuration -- 4.8 Other Configurations -- 5 Spherical Array Beamforming -- 5.1 Beamforming Equations -- 5.2 Axis-Symmetric Beamforming -- 5.3 Directivity Index -- 5.4 White Noise Gain -- 5.5 Simple Axis-Symmetric Beamformers -- 5.6 Beamforming Example -- 5.7 Steering Non Axis-Symmetric Beam Patterns -- 6 Optimal Beam Pattern Design -- 6.1 Maximum Directivity Beamformer -- 6.2 Maximum WNG Beamformer -- 6.3 Example: Directivity Versus WNG -- 6.4 Mixed Objectives -- 6.5 Maximum Front--Back Ratio -- 6.6 Dolph-Chebyshev Beam Pattern -- 6.7 Multiple-Objective Design -- 7 Beamforming with Noise Minimization -- 7.1 Beamforming Equations Including Noise -- 7.2 Minimum Variance Distortionless Response -- 7.3 Example: MVDR with Sensor Noise and Disturbance

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