Contents

• Introduction
• Plane Wave Sampling Theory
  • Only Planar and Spherical Arrays Can Work Perfectly
  • Fractional Delay
  • A Synthesis Scenario
  • Quantized Angles of Arrival
  • Four-Quadrant PBAP
  • Polygonal PBAP (PPBAP)
  • Circular PBAP Truncates to VBAP
  • Wrapped Polygonal PBAP (WPPBAP)
  • Combining Line Arrays to make Polygons
  • Increasing the Number of Source Angles
  • Continuous Angles of Arrival
  • Covering the Spatial Hearing Frequency Range
  • Delaying High Frequencies to Suppress Aliasing via Precedence Effect
  • Finite-Array Correction
  • A Four-Inch Grid Implementation
  • Extension from a 2D Listening Plane to 3D
  
  
• Huygens Arrays (HA)
  • Linear Huygens Arrays
  • Sampling Spreading Loss
  • Virtual Sources in Front of the Array
  • Undersampled Huygens Arrays become VBAP
  • More General Huygens Arrays
  • Interpolation Accuracy
  • Evolving Radiation Pattern (Sampling Kernel) due to Diffraction
  • Specific Sample Shapes (Speaker Radiation Patterns)
  
  
• Multiresolution Spatial Sampling Arrays
  • Multiresolution Coaxial Drivers Array
  • Multiresolution Line Array
  • Multiresolution Sampling Considerations
  • Multiresolution Speaker Systems
  • Four-Way Huygens Arrays
  • Huygens Octave Panels (HOP)
  • Five-Band HOPs
  • Upper, Middle, and Lower HOPs
  • Nominal Design Guidelines
  • An Equilateral Triangle Design Example
  
  
• Conclusions and Future Work
• Acknowledgments
• Relevant Software
  • Soundfield Synthesis (SFS) in Matlab
  • PBAP in FAUST, Integer Delays
  
  
• Speakers as Spatial Samples
  • Point-Source Speakers
  • Overlap-Add of Point-Source Frequency Responses
  
  
• Bibliography