文献类型：期刊文献

英文题名：Design and performance limit of near-field broadband IIR beamformers

作者：He, Qi[1];Feng, Zhiguo[2];Li, Zhibao[3];Yiu, Ka Fai Cedric[4]

机构：[1]Hong Kong Polytech Univ, Shenzhen Res Inst, Shenzhen, Peoples R China;[2]Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang, Guangdong, Peoples R China;[3]Cent South Univ, Sch Math & Stat, Changsha, Hunan, Peoples R China;[4]Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China

年份：2025

卷号：167

外文期刊名：DIGITAL SIGNAL PROCESSING

收录：SCI-EXPANDED(收录号：WOS:001523132200002)、、EI(收录号：20252618677051)、Scopus(收录号：2-s2.0-105008941399)、WOS

基金：This paper is supported by the Research Grants Council (RGC) of Hong Kong 15203923, PolyU Grant (1-WZ0E, 4-ZZPT) , the CAS AMSS-PolyU Joint Laboratory in Applied Mathematics, the Natural Science Foundation of Hunan Province (2022JJ30675) , the Natural Science Foundation of Changsha (kq2202068) and the Natural Science Foundation of China (12271526) .

语种：英文

外文关键词：Beamformer; IIR filter; Performance limit

外文摘要：This paper considers the design of near-field broadband beamformer based on IIR filters, performing both spatial and frequency filtering. The design problem is formulated as an optimal minimax problem to minimize the error between the desired response and the actual response. To demonstrate the theoretical advantage of the proposed IIR-based beamformer over conventional FIR designs, we introduce a novel performance limit analysis framework in which the filter length is treated as an arbitrary design parameter. This performance limit can be efficiently computed by solving a sequence of functional optimization subproblems. A key theoretical contribution of this work is the proof that both FIR and IIR beamformers converge to the same performance bound. However, the proposed IIR structure achieves this bound with significantly fewer filter coefficients. This finding provides valuable guidance for selecting appropriate filter lengths in practical applications. Furthermore, we propose a novel reduced structure in which all array elements share a common feedback section, offering additional simplification without sacrificing performance. The proposed method is evaluated by means of a room simulation model for various reverberation times. Numerical experiments have shown that the optimal value of the IIR design method can approach the limit faster than FIR-based beamformers, and all reduced structures achieved significant reduction in terms of filter lengths comparing with FIR beamformers in the performance limit.