3D Sound Field Reproduction via Surface Integral Sampling

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Solution Overview

Problem

Current 3D sound field reproduction techniques face limitations in accurately synthesizing a three-dimensional sound field over an extended listening area, particularly due to constraints in listener positioning and the impractical number of loudspeakers required, which affects sound localization and introduces artifacts like spatial aliasing and diffraction.

Innovation Solution

A method involving denser loudspeaker distribution in the horizontal plane, sampling strategies that account for human auditory perception, and loudspeaker weighting data to optimize sound field reproduction, allowing for a finite set of loudspeakers to create a 3D sound field with improved localization and reduced artifacts.

Engineering Contradictions & Design Principles

VSEngineering Contradiction Analysis

1Manufacturing precision

If a continuous distribution of loudspeakers is used to reproduce the sound field, then the sound field reproduction accuracy is improved, but the number of loudspeakers becomes impractical

Engineering Contradiction:
Improvesound field reproduction accuracyVSAvoidnumber of loudspeakers
Core Design Contradiction:
Manufacturing precisionVSQuantity of substance

Solution Approach 1:

The continuous loudspeaker distribution is segmented into discrete sampling points on the closed surface. The patent applies spatial sampling theorem to select a finite number of loudspeakers that adequately represent the continuous sound field distribution, reducing the impractical number of loudspeakers while maintaining reproduction accuracy through proper sampling density.

Inventive Principle:
Principle #1Segmentation

Solution Approach 2:

The patent changes the parameter of loudspeaker distribution from continuous to discrete sampling. By optimizing the sampling density and distribution of loudspeakers on the closed surface, the system achieves practical implementation while maintaining sound field reproduction accuracy through mathematical modeling of the sound field.

Inventive Principle:
Principle #35Parameter changes

2Device complexity

If the listener position is constrained to the center of the loudspeaker setup, then the sound field reproduction is simplified, but the listening area is limited

Engineering Contradiction:
Improvesound field reproduction complexityVSAvoidlistening area
Core Design Contradiction:
Device complexityVSArea of stationary object

Solution Approach 1:

Instead of constraining the listener to a fixed position at the center, the patent inverts the approach by creating a sound field that is accurate across the entire enclosed volume. The closed surface of loudspeakers surrounds the listener, allowing the sound field to be reproduced accurately at any position within the enclosed space rather than requiring the listener to remain at a specific location.

Inventive Principle:
Principle #13The other way round (Inversion)

Solution Approach 2:

The patent transitions from 2D or 1D loudspeaker arrangements to a 3D closed surface configuration. By distributing loudspeakers on a closed three-dimensional surface, the system creates a volumetric sound field that extends in all directions, enabling accurate sound field reproduction throughout the entire enclosed three-dimensional listening space.

Inventive Principle:
Principle #17Another dimension (Dimensionality change)

3Ease of manufacture

If uniform loudspeaker distribution is used, then the implementation is simplified, but the sound localization accuracy is reduced

Engineering Contradiction:
Improveimplementation simplicityVSAvoidsound localization accuracy
Core Design Contradiction:
Ease of manufactureVSMeasurement precision

Solution Approach 1:

The patent applies non-uniform loudspeaker distribution where the sampling density varies across different regions of the closed surface. Areas requiring higher localization accuracy receive denser speaker placement, while regions with less critical localization requirements have sparser distribution. This local quality variation optimizes sound localization accuracy in critical listening zones while maintaining overall implementation feasibility.

Inventive Principle:
Principle #3Local quality

Applied Scientific Principles

This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.

Function Achieved in This Case

This approach enhances sound field reproduction accuracy and reduces the number of loudspeakers needed, improving sound localization and minimizing perceptual artifacts, while being practical for implementation.

Implementation Method 1

calculating positioning filters using virtual source description data and loudspeaker description data according to a sound field reproduction technique which is derived from a surface integral

Methodology Applied
Scientific EffectWave field synthesis:

Implementation Method 2

sound field reproduction technique which is derived from a surface integral

Methodology Applied
Scientific EffectSurface integral:

Implementation Method 3

The second audio input signals are then modified by loudspeaker weighting data to form third audio input signal

Methodology Applied
Scientific EffectAmplitude modulation:

Implementation Method 4

synthesizing a 3D sound field within a listening area in which none of the loudspeakers are located, said sound field described as emanating from a virtual source

Methodology Applied
Scientific EffectAcoustic wave synthesis:

Data Source

PatentUS9338572B2Method for practical implementation of sound field reproduction based on surface integrals in three dimensions
Publication Date: 2016.05.10 SENNHEISER ELECTRONICS GMBH & CO KG
  • US9338572B2 patent drawing
  • US9338572B2 patent drawing
  • US9338572B2 patent drawing

AI summary

A method for 3D sound field reproduction from a first audio input signal using a plurality of loudspeakers distributed over a loudspeaker surface aiming at synthesizing a 3D sound field within a listening area in which none of the loudspeakers are located with the sound field radiating from a virtual source, includes the steps of calculating positioning filters using virtual source description data and loudspeaker description data according to a sound field reproduction technique derived from a surface integral, applying positioning filter coefficients to filter the first audio input signal to form second audio input signals. Loudspeakers are positioned for a sampling of the loudspeaker surface into second loudspeaker surfaces for which the loudspeaker spacing is smaller for loudspeakers located in the horizontal plane than for elevated loudspeakers.