提出2ch-AFC算法的可辨识性新条件,提升麦克风-扬声器反馈消除稳定性。
Identifiability Conditions for Acoustic Feedback Cancellation with the Two-Channel Adaptive Feedback Canceller Algorithm
- 基于前向路径滤波器阶数高于AR模型阶数实现反馈路径可辨识。
- 推导出相关矩阵逆的条件数可作为可辨识性监测指标。
- 适用于需要稳定反馈消除的语音通信与音频系统设计。
在麦克风与扬声器共处同一声学环境的应用中,扬声器信号可能反馈至麦克风,形成闭环系统,导致系统不稳定。为消除这种声学耦合,预测误差法(PEM)反馈消除算法通过假设输入信号可用自回归(AR)模型建模,来识别扬声器到麦克风的反馈路径。先前研究表明,当麦克风到扬声器的前向路径具有足够时变性或非线性,或前向路径延迟等于或超过AR模型阶数时,该框架可正确识别反馈路径。本文证明,对于特定的PEM算法——两通道自适应反馈消除器(2ch-AFC),该延迟条件可推广为基于可逆性的新条件:当前向路径前馈滤波器阶数大于AR模型阶数时,即可实现可辨识性。此外,2ch-AFC中使用的相关矩阵逆的条件数可作为可辨识性的实时监测指标。
原文摘要 · Abstract (English)
In audio signal processing applications with a microphone and a loudspeaker within the same acoustic environment, the loudspeaker signals can feed back into the microphone, thereby creating a closed-loop system that potentially leads to system instability. To remove this acoustic coupling, prediction error method (PEM) feedback cancellation algorithms aim to identify the feedback path between the loudspeaker and the microphone by assuming that the input signal can be modelled by means of an autoregressive (AR) model. It has previously been shown that this PEM framework and resulting algorithms can identify the feedback path correctly in cases where the forward path from microphone to loudspeaker is sufficiently time-varying or non-linear, or when the forward path delay equals or exceeds the order of the AR model. In this paper, it is shown that this delay-based condition can be generalised for one particular PEM-based algorithm, the so-called two-channel adaptive feedback canceller (2ch-AFC), to an invertibility-based condition, for which it is shown that identifiability can be achieved when the order of the forward path feedforward filter exceeds the order of the AR model. Additionally, the condition number of inversion of the correlation matrix as used in the 2ch-AFC algorithm can serve as a measure for monitoring the identifiability.
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