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第 43 卷 第 6 期          王晓楠等: 多项式结构恒定束宽波束形成器的高效稀疏化设计                                         1217


             现有稀疏算法相比,所提稀疏算法在满足旁瓣响应                              [6] Barfuss H, Bachmann M, Buerger M, et al. Design of ro-
             约束要求的同时,表现出了更佳的期望方向信号无                                bust two-dimensional polynomial beamformers as a con-
                                                                   vex optimization problem with application to robot audi-
             失真特性。
                                                                   tion[C]//2017 IEEE Workshop on Applications of Signal
                                                                   Processing to Audio and Acoustics. IEEE, 2017: 106–110.
             6 结论                                                [7] 薛晗, 陈华伟, 张展, 等. 多项式结构宽带波束形成器的性能
                                                                   分析及其改进 [J]. 声学学报, 2022, 47(3): 293–308.
                 本文提出了一种多项式结构恒定束宽波束形                               Xue Han, Chen Huawei, Zhang Zhan, et al. Performance
                                                                   analysis and improvement of polynomial broadband
             成器的高效稀疏化设计方法,在现有稀疏算法的基
                                                                   beamformers[J]. Acta Acustica, 2022, 47(3): 293–308.
             础上,通过引入求解自由度更高的 MSRV 设计,改                           [8] Wang T, Chen H. Robust design of Farrow-structure-
             善了多项式结构波束形成器的恒定束宽性能,同时                                based steerable broadband beamformers with sparse tap
                                                                   weights via convex optimization[J]. EURASIP Journal on
             利用迭代加权 ℓ 1 范数进行抽头稀疏优化,并采用
                                                                   Audio, Speech, and Music Processing, 2015, 2015(1): 14.
             ADMM 求解算法进一步提高了优化的效率。研究                             [9] Frank A, Ben-Kish A, Cohen I. Constant-beamwidth
             结果表明,相较于现有稀疏算法,所提稀疏算法在                                linearly  constrained  minimum  variance  beam-
                                                                   former[C]//2022 30th European Signal Processing Con-
             不同指向角度下的主瓣频率不变特性更优,同时也
                                                                   ference. IEEE, 2022: 50–54.
             保持了良好的设计鲁棒性。另外,将具有更高求解                             [10] 鄢社锋, 王文侠. 交替迭代多约束波束优化设计 [J]. 声学学
             自由度的 MSRV设计与抽头稀疏优化问题结合,有                              报, 2021, 46(6): 896–904.
                                                                   Yan Shefeng, Wang Wenxia.  Design of multiply con-
             利于挖掘更多潜在的稀疏抽头。对比现有的利用经
                                                                   strained beamformer via alternating direction method of
             典 CVX 工具箱进行优化的稀疏设计,本文提出的                              multipliers[J]. Acta Acustica, 2021, 46(6): 896–904.
             ADMM 稀疏设计方法取得了更高的稀疏度,且优                            [11] Xue H, Chen H, Wang X. Design of robust polynomial
                                                                   beamformers using worst case performance optimization
             化求解的耗时可以降低两个数量级。
                                                                   via alternating direction method of multipliers[J]. IEEE
                                                                   Sensors Journal, 2023, 23(7): 7690–7704.
                                                                [12] Wang W, Yan S, Mao L. Time-domain frequency-invariant
                            参 考     文   献
                                                                   beampattern synthesis via alternating direction method
                                                                   of multipliers[J]. The Journal of the Acoustical Society of
              [1] Son P L. Irregular microphone array design for broadband  America, 2020, 147(5): 3372–3375.
                 beamforming[J]. Signal Processing, 2022, 193: 108431.  [13] Liu Y, Zhang L, Ye L, et al. Synthesis of sparse arrays
              [2] 李涛, 蒋小勇, 周胜增. 基于宽带稳健 STMV 波束形成的相关                with frequency-invariant-focused beam patterns under ac-
                 检测方法 [J]. 声学技术, 2019, 38(5): 600–603.             curate sidelobe control by iterative second-order cone pro-
                 Li Tao, Jiang Xiaoyong, Zhou Shengzeng. Correlation de-  gramming[J]. IEEE Transactions on Antennas and Prop-
                 tection based on wideband robust STMV beamforming[J].  agation, 2015, 63(12): 5826–5832.
                 Technical Acoustics, 2019, 38(5): 600–603.     [14] Yang J, Lin J, Shi Q, et al. An ADMM-based approach to
              [3] Wang X, Cohen I, Chen J, et al. On robust and high  robust array pattern synthesis[J]. IEEE Signal Processing
                 directive beamforming with small-spacing microphone ar-  Letters, 2019, 26(6): 898–902.
                 rays for scattered sources[J]. IEEE/ACM Transactions on  [15] Horn R A, Johnson C R. Matrix analysis[M]. Cambridge:
                 Audio, Speech, and Language Processing, 2019, 27(4):  Cambridge University Press, 2012.
                 842–852.                                       [16] Oliveira D E, Wolkowicz H, Xu Y. ADMM for the SDP re-
              [4] 任维怡, 陈华伟, 鲍彧. 稳健宽带波束形成器设计的低阶统计                   laxation of the QAP[J]. Mathematical Programming Com-
                 量法 [J]. 应用声学, 2015, 34(5): 413–424.               putation, 2018, 10(4): 631–658.
                 Ren Weiyi, Chen Huawei, Bao Yu.  Design of robust  [17] Bala J, Lakhwani K. Single image desmogging using
                 broadband beamformers based on lower-order statistics  oblique gradient profile prior and variational minimiza-
                 method[J]. Journal of Applied Acoustics, 2015, 34(5):  tion[J]. Multidimensional Systems and Signal Processing,
                 413–424.                                          2020, 31(4): 1259–1275.
              [5] Bao Y, Chen H. A chance-constrained programming ap-  [18] Chen H, Ser W, Zhou J. Robust nearfield wideband beam-
                 proach to the design of robust broadband beamform-  former design using worst case mean performance opti-
                 ers with microphone mismatches[J]. IEEE/ACM Transac-  mization with passband response variance constraint[J].
                 tions on Audio, Speech, and Language Processing, 2018,  IEEE Transactions on Audio, Speech, and Language Pro-
                 26(12): 2475–2488.                                cessing, 2012, 20(5): 1565–1572.
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