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Generating coherence-constrained multisensor signals using balanced mixing and spectrally smooth filters.

Daniele Mirabilii1, Sebastian J Schlecht2, Emanuël A P Habets1

  • 1International Audio Laboratories Erlangen, a joint institution of the Friedrich-Alexander-University Erlangen-Nürnberg (FAU) and Fraunhofer IIS, Am Wolfsmantel 33, 91058 Erlangen, Germany.

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This study introduces new methods for generating synthetic multichannel noise signals with controlled spatial coherence. The proposed techniques improve the spectral smoothness and mix balance of the mixing matrix, reducing errors in generated coherence.

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Area of Science:

  • Acoustics
  • Signal Processing
  • Mathematical Physics

Background:

  • Spatial properties of noise fields are defined by spatial coherence functions.
  • Synthetic multichannel noise signals with specific spatial coherence can be created by mixing uncorrelated signals.
  • The mixing matrix, crucial for signal generation, is typically derived from spatial coherence matrix decomposition.

Purpose of the Study:

  • To address limitations in existing Choleski and eigenvalue decomposition methods for obtaining the mixing matrix.
  • To analyze and enhance key properties of the mixing matrix: spectral smoothness and mix balance.
  • To propose novel methods for improved spatial coherence function generation.

Main Methods:

  • Analysis of spectral smoothness (variation across frequency) and mix balance (signal contribution) of the mixing matrix.
  • Development of three new methods based on the unitary Procrustes solution to optimize these properties.
  • Performance evaluation using objective measures to compare proposed methods against existing ones.

Main Results:

  • The proposed unitary Procrustes-based methods enhance both spectral smoothness and mix balance of the mixing matrix.
  • Objective performance evaluations confirm significant improvements in the generated mixing matrix.
  • A direct correlation was found: increased spectral smoothness of the mixing matrix leads to reduced error between target and generated spatial coherence.

Conclusions:

  • The novel methods offer superior control over spatial coherence in synthetic noise signals.
  • Enhanced spectral smoothness is a key factor in accurately reproducing target spatial coherence functions.
  • These advancements provide more reliable tools for applications requiring precise spatial noise field simulation.