麦克风阵列幅相误差校准的最小二乘系统辨识研究

高自跑; 柳小勤; 王之海

doi:10.13433/j.cnki.1003-8728.20220087

麦克风阵列幅相误差校准的最小二乘系统辨识研究

doi: 10.13433/j.cnki.1003-8728.20220087

昆明理工大学机电工程学院, 昆明 650504

基金项目:

国家自然科学基金项目 51875272

云南省教育厅科学研究基金项目 2018JS025

详细信息

作者简介:
高自跑(1994-), 硕士研究生, 研究方向为基于三维声强的传声器精确校准, 2517944259@qq.com

通讯作者:
柳小勤, 副教授, 硕士生导师, liuxqsmile@gmail.com

中图分类号: TN06;TB52
计量
- 文章访问数: 99
- HTML全文浏览量: 69
- PDF下载量: 20
- 被引次数: 0
出版历程
- 收稿日期: 2020-02-29
- 刊出日期: 2023-07-25

Study on Least Squares System Identification for Gain-phase Errors Calibration of Microphone Array

School of Mechanical and Electrical Engineering, Kunming University of Science and Technology, Kunming 650504, China

摘要

摘要: 阵列幅相误差显著降低了麦克风阵列的声源定位算法性能，研究了一种麦克风阵列幅相误差有源宽带近场校准方法。该方法采用一个校准源，线性正弦扫频信号作为激励信号，它先对阵列接受到的信号进行幅值和相位补偿，以阵列中的一个阵元作为参考阵元，把参考阵元与待校准阵元当作单输入单输出线性系统，然后通过递推最小二乘(RLS)系统辨识算法获得用于通道校准的FIR滤波器。用三维声强探头阵列进行校准和声源定位实验，验证了所提出的校准方法实用有效。
- 校准 /
- 麦克风阵列 /
- 幅相误差 /
- 递推最小二乘系统辨识 /
- 声源定位
Abstract: Array gain-phase errors significantly degrade the performance of the sound source localization algorithms based on microphone array. An active broadband near-field calibration method is studied for microphone array gain-phase errors. This method uses only one calibration source, and uses a linear sinusoidal sweep signal as the excitation signal. Firstly, it performs amplitude and phase compensation on the signals received by the array. One element in the array is used as the reference element, and the reference element and the element to be calibrated are regarded as a single-input-single-output linear system. Then, several FIR filters for channel calibration are obtained by the recursive least squares (RLS) system identification algorithm. The calibration and sound source localization experiments were carried out with a three-dimensional sound intensity probe array, and the proposed calibration method was verified to be practical and effective.
- calibration /
- microphone array /
- gain-phase errors /
- recursive least squares system identification /
- sound source localization

HTML全文

图 1 三维声强探头麦克风阵列

Figure 1. 3D sound intensity probe microphone array

下载: 全尺寸图片幻灯片

图 2 麦克风阵列校准实验装置

Figure 2. Experimental setup for microphone array calibration

下载: 全尺寸图片幻灯片

图 3 FIR滤波器的频率特性曲线

Figure 3. Frequency characteristic curve for the FIR filter

下载: 全尺寸图片幻灯片

图 4 声源定位实验装置

Figure 4. Experimental setup for sound source localization

下载: 全尺寸图片幻灯片

图 5 声源方位角误差直方图

Figure 5. Histogram of sound source azimuth angle error

下载: 全尺寸图片幻灯片

表 1 相位失配校准结果

Table 1. Phase mismatch calibration results

参数名		频率/Hz
参数名		500	1 000	1 500	2 000
	理论值	0	0	0	0
麦克风2与麦克风1相位差/(°)	校准前	-3.643 1	-6.146 9	-4.187 5	-3.987 4
	校准后	-1.806 1	-2.457 9	0.712 5	1.107 6

	理论值	18.494 1	36.988 2	55.482 3	73.976 4
麦克风3与麦克风1相位差/(°)	校准前	14.911 3	34.865 4	50.031 4	71.211 5
	校准后	16.431 3	37.699 4	53.622 4	74.538 5

	理论值	18.494 1	36.988 2	55.482 3	73.976 4
麦克风4与麦克风1相位差/(°)	校准前	20.541 2	39.364 4	57.312 2	79.154 2
	校准后	16.919 2	36.009 4	54.006 2	74.787 2

下载: 导出CSV

参考文献(17)

[1]	LU Y, LIU X Q, WU X. Localization error analysis of three-dimensional sound intensity measurement[C]//Proceedings of the 9th International Conference on Modelling, Identification and Control (ICMIC). Kunming: IEEE, 2017: 424-428.
[2]	LIAO F C, LI P, LIU W J. Auditory filter based broadband MUSIC algorithm for sound source localization[J]. Chinese Journal of Acoustics, 2013, 32(4): 439-453.
[3]	褚志刚, 段云炀, 沈林邦, 等. 奇异值分解波束形成声源识别方法[J]. 电子测量与仪器学报, 2014, 28(11): 1177-1184. doi: 10.13382/j.jemi.2014.11.001 CHU Z G, DUAN Y Y, SHEN L B, et al. Singular value decomposition beamforming method for sound source identification[J]. Journal of Electronic Measurement and Instrumentation, 2014, 28(11): 1177-1184. (in Chinese) doi: 10.13382/j.jemi.2014.11.001
[4]	LI W X, LIN J Z, ZHANG Y, et al. Joint calibration algorithm for gain-phase and mutual coupling errors in uniform linear array[J]. Chinese Journal of Aeronautics, 2016, 29(4): 1065-1073. doi: 10.1016/j.cja.2016.04.018
[5]	LIU A F, LIAO G S, ZENG C, et al. An eigenstructure method for estimating DOA and sensor gain-phase errors[J]. IEEE Transactions on Signal Processing, 2011, 59(12): 5944-5956. doi: 10.1109/TSP.2011.2165064
[6]	LIU Y, JIU B, LIU H W. Clutter-based gain and phase calibra-tion for monostatic MIMO radar with partly calibrated array[J]. Signal Processing, 2019, 158: 219-226. doi: 10.1016/j.sigpro.2019.01.011
[7]	DOCLO S. Multi-microphone noise reduction and dereverber-ation techniques for speech applications[D]. Leuven: Katholieke Universiteit Leuven, 2003.
[8]	OLDHAM J R, SAGERS J D, BLOTTER J D, et al. Development of a multi-microphone calibrator[J]. Applied Acoustics, 2009, 70(6): 790-798. doi: 10.1016/j.apacoust.2008.09.013
[9]	TÓTH P, SCHRAM C. Simultaneous calibration of multiple microphones for both phase and amplitude in an impedance tube[J]. Archives of Acoustics, 2014, 39(2): 277-287.
[10]	LECLÈRE Q, PEREIRA A, PEREIRA A, et al. Indirect calibration of a large microphone array for in-duct acoustic measurements[J]. Journal of Sound and Vibration, 2016, 376: 48-59. doi: 10.1016/j.jsv.2016.04.033
[11]	LOWIS C R, JOSEPH P F, SIJTSMA P. A technique for the in situ phase calibration of in-duct axial microphone arrays[J]. Journal of Sound and Vibration, 2010, 329(22): 4634-4642. doi: 10.1016/j.jsv.2010.04.035
[12]	邵学辉, 付永庆, 郑莉. 近场麦克风阵列幅相误差校正技术[J]. 应用科技, 2007, 34(10): 13-16. https://www.cnki.com.cn/Article/CJFDTOTAL-YYKJ200710005.htm SHAO X H, FU Y Q, ZHENG L. Technology of calibration for gains and phases of microphone array in near filed[J]. Applied Science and Technology, 2007, 34(10): 13-16. (in Chinese) https://www.cnki.com.cn/Article/CJFDTOTAL-YYKJ200710005.htm
[13]	XIAO H, SHAO H Z, PENG Q C. A new calibration method for microphone array with gain, phase, and position errors[J]. Journal of Electronic Science and Technology of China, 2007, 5(3): 248-251.
[14]	BUCK M, HAULICK T, PFLEIDERER H J. Self-calibrating microphone arrays for speech signal acquisition: a systematic approach[J]. Signal Processing, 2006, 86(6): 1230-1238. doi: 10.1016/j.sigpro.2005.06.021
[15]	TEAL P D, POLETTI M A. Adaptive phase calibration of a microphone array for acoustic holography[J]. The Journal of the Acoustical Society of America, 2010, 127(4): 2368-2376. doi: 10.1121/1.3336401
[16]	MADHU N, MARTIN R. Low-complexity, robust algorithm for sensor anomaly detection and self-calibration of microphone arrays[J]. IET Signal Processing, 2011, 5(1): 97-103. doi: 10.1049/iet-spr.2009.0164
[17]	YOON Y S, KAPLAN L M, MCCLELLAN J H. TOPS: new DOA estimator for wideband signals[J]. IEEE Transactions on Signal Processing, 2006, 54(6): 1977-1989.