Abstract

Spatial room impulse responses (SRIRs) measured using spherical microphone arrays are seeing increasingly widespread use in reproducing room reverberation effects on three-dimensional surround sound systems (e.g., higher-order ambisonics) through multi-channel SRIR convolution. However, such measured impulse responses inevitably present a non-negligible noise floor, which may lead to a perceptible "infinite reverberation effect" when convolved with an input sound. Furthermore, individual sensor noise and momentary measurement artefacts may additionally corrupt the resulting impulse response. This paper presents a robust SRIR denoising procedure applicable to impulse responses with diffuse late reverberation tails, which can be modeled by a stochastic process. In such cases, the non-decaying frequency-dependent noise floor may be replaced by a synthesized incoherent tail parameterized by the SRIR's energy decay envelope. It is shown that performing such tail re-synthesis in the spherical harmonic domain, using an independent zero-mean Gaussian noise for each component, preserves both the reverberation tail's frequency-dependent decay as well as its spatial coherence properties. The proposed process is then evaluated through its application to SRIRs measured in real-world conditions, and finally some aspects of performance and consistency verification are discussed.

Highlights

  • INTRODUCTIONSpherical microphone arrays (SMAs) enable the directional analysis of a given sound field by sampling it over the

  • The re-synthesis of the late reverberation tail is evaluated here in two steps: the consistency of the energy decay relief (EDR) analysis is first verified on deliberately noised simulations, and results obtained on an spatial room impulse response (SRIR) measured in real-world conditions are subsequently presented

  • This paper has addressed the problem of removing the non-decaying noise floor inevitably present in SRIRs measured with Spherical microphone arrays (SMAs) and replacing it with a valid extension of the exponentially-decaying late reverberation tail

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Summary

INTRODUCTION

Spherical microphone arrays (SMAs) enable the directional analysis of a given sound field by sampling it over the. X2S2 where X 1⁄4 ðh; /Þ is a point on the surface of a sphere with fixed radius r 1⁄4 a [in conformity with ISO 8000-2:2009(E) (2009)], xðf ; X; tÞ is the time-frequency domain representation of the sound field on the sphere, and Yl;mðXÞ are the spherical harmonics of order l 2 Zþ and degree m 2 1⁄2Àl; lŠ. This transform defines the SHD signal coefficients Xl;mðf ; tÞ for each component or mode (l, m). Such is the case in the widespread higher-order ambisonics format, where the center of the sphere is used as the reference point and for which the correcting filters are determined (Daniel and Moreau, 2004)

Previous work
PROPOSED DENOISING PROCESS
Measurement artefact reduction
Reverberation tail analysis and re-synthesis
EDR analysis
Coherence analysis and mixing time estimation
Incoherent tail synthesis
Summary of denoising process
APPLICATION RESULTS
Reverberation tail re-synthesis
Simulated late reverberation tails
Measured SRIR
CONCLUSION
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