Identification of Room Acoustic Impulse Responses via Kronecker Product Decompositions

有限冲激响应 脉冲响应 计算机科学 克罗内克产品 脉冲(物理) 算法 维纳滤波器 混响 收敛速度 话筒 无限冲激响应 计算复杂性理论 自适应滤波器 系统标识 滤波器(信号处理) 数学 数字滤波器 克罗内克三角洲 声学 数学分析 计算机网络 频道(广播) 电信 物理 声压 量子力学 计算机视觉 数据库 度量(数据仓库)
作者
Laura-Maria Dogariu,Jacob Benesty,Constantin Paleologu,Silviu Ciochină
出处
期刊:IEEE/ACM transactions on audio, speech, and language processing [Institute of Electrical and Electronics Engineers]
卷期号:30: 2828-2841 被引量:18
标识
DOI:10.1109/taslp.2022.3202128
摘要

The identification of room acoustic impulse responses represents a challenging problem in the framework of many important applications related to the acoustic environment, like echo cancellation, noise reduction, and microphone arrays, among others. In this context, the main issues are related to the long length of such impulse responses and their time-variant nature. These raise significant difficulties in terms of the convergence rate, computational complexity, and accuracy of the solution. Recently, a decomposition-based approach was developed for the identification of low-rank systems, which can also be applied (to some extent) for the identification of acoustic impulse responses. This approach exploits the nearest Kronecker product decomposition of the impulse response and solves a high-dimension system identification problem using a combination of low-dimension solutions (provided by shorter filters), thus gaining in terms of both performance and complexity. Nevertheless, it does not consider the intrinsic nature of the room acoustic impulse responses, which contain specific components (e.g., early reflections and late reverberation) that can be very different in nature. In this paper, we propose an improved decomposition-based method (via the Kronecker product) that takes into account these specific components and processes them separately, in order to better exploit their important low-rank features. Following this approach, an iterative Wiener filter is firstly developed, followed by a recursive least-squares (RLS) algorithm designed in the same framework. Both solutions outperform the conventional benchmarks, i.e., the conventional Wiener filter and the RLS algorithm, respectively. Moreover, they achieve superior performances as compared to the recently developed versions based on the nearest Kronecker product decomposition, also owning lower computational complexities than their previous counterparts. Simulations are performed in the framework of acoustic echo cancellation and the obtained results support the performance features of the proposed algorithms.
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