基于全相位陷波器解析设计的啸叫去除

黄翔东; 高月

doi:10.11999/JEIT200623

基于全相位陷波器解析设计的啸叫去除

doi: 10.11999/JEIT200623

黄翔东^,,
高月

天津大学电气自动化与信息工程学院天津 300072

基金项目: 国家自然科学基金(61671012)

详细信息

作者简介:
黄翔东：男，1979年生，博士，教授，博士生导师，研究方向为滤波器设计、频谱分析等

高月：女，1996年生，硕士生，研究方向为滤波器设计等

通讯作者:
黄翔东　xdhuang@tju.edu.cn

中图分类号: TN 911.72
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- 被引次数: 0
出版历程
- 收稿日期: 2020-07-27
- 修回日期: 2020-12-15
- 网络出版日期: 2021-01-05
- 刊出日期: 2021-10-18

Howling Removal Based on Analytical Design of All-phase Notch Filter

Xiangdong HUANG^,,
Yue GAO

School of Electrical and Information Engineering, Tianjin University, Tianjin 300072, China

Funds: The National Natural Science Foundation of China (61671012)

摘要

摘要: 为了快速且精准地抑制助听器中的啸叫效应，该文提出一种中心频率可以精确控制的全相位有限脉冲响应(FIR)陷波器解析设计。首先，为了获得较高的陷波精度，引入了整数部分m和小数部分λ来控制陷波的中心频率。然后，设计了一个偶对称的闭式解析式来计算陷波器系数。最后，为了保证输出信号的连续性和线性相位，进行数据延拓和截取操作。该陷波器具有线性传输特性，避免了非线性失真。为了检验陷波器的滤波性能，将其应用在助听器中去除啸叫。实验结果表明，该滤波器在啸叫频率下的衰减值可达–330 dB，信噪比达22 dB，输出波形质量好，算法复杂度低，鲁棒性高，具有一定的应用前景。
- 闭式FIR陷波器 /
- 中心频率可控 /
- 线性相位
Abstract: In order to quickly and accurately suppress the howling effect in hearing aids, this paper presents an analytical design of all-phase Finite Impulse Response(FIR) notch filter with explicit controllable center frequency. Firstly, to obtain the higher accuracy, integer m and decimal λ are introduced to control the central frequency of the notch filter. Then, an even symmetric closed-form analytic formula is designed to complete the design of the notch filter, which shows that the proposed notch filter has linear transmission characteristics and avoids nonlinear distortion. Finally, data extension and interception are carried out to ensure the continuity and linear phase of the output signal. Herein, the proposed notch filter is inserted into hearing aid to suppress the howling for the sake of verifying its performances. The experimental results show that the attenuation value of the proposed filter at the howling frequency can reach –330 dB, and the SNR is 22 dB. Moreover, the proposed filter is of good output waveform quality, low algorithm complexity and high robustness, and it has a certain application prospect.
- Closed-form Finite Impulse Response (FIR) notch /
- Controllable central frequency /
- Linear-phase

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图 1 子滤波器${{\boldsymbol{g}}_1{'}}$和${{\boldsymbol{g}}_2{'}}$的传输曲线(N=16, m=3)

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图 2 点通滤波器传输曲线(N=16, m=3, λ=0.3)

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图 3 陷波器传输曲线(N=16, m=3, λ=0.3)

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图 4 含陷波器的助听器模型图

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图 5 传统陷波器频率响应图

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图 6 本文提出的闭式FIR陷波器频率响应图

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图 7 经IIR陷波器滤波的信号波形图

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图 8 经闭式FIR陷波器滤波的信号波形图

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图 9 经闭式FIR陷波器滤波的信号波形图及子段放大图

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表 1 啸叫频率f₀与SNR(N=32)

f₀(Hz) SNR(dB) f₀(Hz) SNR(dB)

1290 21.2816 2490 22.1826
1590 21.9162 2790 22.1217
1890 21.9733 3090 22.0438
2190 22.1121 3390 22.0071

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表 2 陷波器阶数N与SNR(f₀=1590 Hz)

阶数N SNR(dB) 阶数N SNR(dB)

32 21.9162 256 22.4311
64 21.8347 512 22.8120
128 21.7462 1024 20.9697

下载: 导出CSV

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