A MISO acoustic echo cancellation algorithm based on a two-layer filter decomposition

作     者：Cao, Zi Yan, Tianci Chen, Jie Chen, Jingdong Benesty, Jacob 

作者机构：Northwestern Polytech Univ Sch Marine Sci & Technol Xian Peoples R China Northwestern Polytech Univ Shenzhen Res & Dev Inst Shenzhen Peoples R China Univ Quebec Quebec City PQ Canada 

出 版 物：《SIGNAL PROCESSING》 (Signal Process)

年 卷 期：2025年第232卷

核心收录：

学科分类：0808[工学-电气工程] 08[工学] 

基　　金：National Key R&D Program of China [2024YFF0505502] Shenzhen Science and Technology Program [JCYJ20230807145600001] National Natural Science Foundation of China TCL science and technology innovation fund 

主　　题：Acoustic echo cancellation Convolutive transfer function Kronecker decomposition RLS algorithm 

摘      要：The recursive least-squares (RLS) algorithm is a promising algorithm in acoustic echo cancellation (AEC) thanks to its fast convergence rate and competitive performance. However, its complexity is rather high, particularly when the system operates in acoustic environments with long acoustic impulse responses. This paper deals with the problem of AEC in a multiple-input and single-output (MISO) audio system, which consists of multiple loudspeakers and a microphone at the receiving room. A method is developed in the short-time-Fourier-transform (STFT) domain, which operates on a subband basis. In every STFT subband, the convolutive-transfer-function (CTF) model is adopted, so the echo path is modeled with a finite impulse response (FIR) filter. A two-layer decomposition (TLD) of the filter matrix is then applied and an RLS-type of algorithm is subsequently deduced to achieve channel identification and echo cancellation. This algorithm is able to achieve echo cancellation performance comparable to RLS algorithm with significantly lower complexity.