Fast Time-Varying Exponentiated Convolution Methods for Generative Direction Dependent Reverberation

📅 2026-09-21
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🤖 AI Summary
本文提出了一种时变指数卷积方法,用于生成方向依赖的混响和修改频谱衰减场,以解决多麦克风测量成本高和数据集小的问题。
📝 Abstract
Spherical harmonic encoded acoustic sound-fields capture directional characteristics of room impulse responses that are useful for accurate spatial audio reproduction. However, high costs of multi-microphone measurements and numerical simulations motivate alternative data-set augmentation and synthetic data generation methods that supplement small collections. This paper introduces time-varying exponentiated convolution methods that transform both Gaussian noise and impulse responses into reverberation and modified spectral-decay fields respectively. We derive two recursive and fast convolution algorithms that extend into the spherical harmonic domain, model smooth reverberation time distributions with non-stationary Gaussian processes, and realize an optimal filter design. Experiments evaluate computational performance, and validate out-of-distribution generated impulse responses.
Problem

Research questions and friction points this paper is trying to address.

Time-Varying Exponentiated Convolution
Spherical Harmonic
Reverberation
Data-Set Augmentation
Synthetic Data Generation
Innovation

Methods, ideas, or system contributions that make the work stand out.

time-varying exponentiated convolution
spherical harmonic domain
non-stationary Gaussian processes
optimal filter design
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