Abstract A well-known problem in speech communication is the occurrence of acoustic echo in hands-free telephony. There are several classical adaptive filters that have been used as a stand alone approach for linear acoustic echo cancellation(AEC). A common assumption in most AEC techniques is that the echo path is linear. However, in real scenarios, owing to distortions introduced by other acoustic artefacts in handheld devices, the echo path is nonlinear. Therefore, there is a need to employ a nonlinear echo canceller. In this paper, a kernel expansion on a family of adaptive filtering algorithms based on least mean square filter is proposed. Kernel methods help model the nonlinear echo path and attain global minimum easily by finding the optimal set of filter weights. The simulations are carried out for speech signal with and without noise under different signal-to-noise ratio values. The results show that the proposed method achieves a significant improvement in a nonlinear acoustic echo cancellation environment in terms of echo return loss enhancement.

中文翻译：

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使用核化自适应滤波器进行非线性回声消除

摘要 语音通信中的一个众所周知的问题是免提电话中出现的回声。有几种经典的自适应滤波器已用作线性声学回声消除 (AEC) 的独立方法。大多数 AEC 技术中的一个常见假设是回声路径是线性的。然而，在实际场景中，由于手持设备中其他声学制品引入的失真，回声路径是非线性的。因此，需要采用非线性回声消除器。本文提出了一种基于最小均方滤波器的自适应滤波算法族的核扩展。核方法有助于对非线性回声路径进行建模，并通过找到最佳滤波器权重集轻松获得全局最小值。在不同信噪比值下对有噪声和无噪声的语音信号进行仿真。结果表明，所提出的方法在回声回波损耗增强方面实现了非线性声学回声消除环境的显着改善。