| 四阶带通箱的自回归滑动平均模型* |
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| 引用本文： | 陈立,田兴,夏洁,沈勇.四阶带通箱的自回归滑动平均模型*[J].应用声学,2020,39(4):618-624. |
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| 作者姓名： | 陈立 田兴 夏洁 沈勇 |
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| 作者单位： | 1. 南京大学声学研究所 近代声学教育部重点实验室 南京 210093,1. 南京大学声学研究所 近代声学教育部重点实验室 南京 210093,1. 南京大学声学研究所 近代声学教育部重点实验室 南京 210093,1. 南京大学声学研究所 近代声学教育部重点实验室 南京 210093 |
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| 摘 要： | 建立扬声器系统的离散时间模型是对其进行数字控制的基础。研究给出了使用LR-2理论优化的四阶带通箱的自回归滑动平均(Autoregressive moving average,ARMA)模型,推导其传递函数方程组,构建其时域差分迭代式,形成离散时间形式的表述,用以描述系统的瞬态行为。实验结果表明,与基于状态空间方程的差分求解方法相比,本文给出的自回归滑动平均模型更为稳定精确,对采样率的要求更低。
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| 关 键 词： | 四阶带通箱 状态空间方程 传递函数 自回归滑动平均模型 LR-2理论 |
| 收稿时间： | 2019/9/18 0:00:00 |
| 修稿时间： | 2020/6/28 0:00:00 |
Autoregressive moving average model of fourth-order band-pass loudspeaker systems |
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| CHEN Li,TIAN Xing,XIA Jie and SHEN Yong.Autoregressive moving average model of fourth-order band-pass loudspeaker systems[J].Applied Acoustics,2020,39(4):618-624. |
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| Authors: | CHEN Li TIAN Xing XIA Jie and SHEN Yong |
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| Institution: | 1. Key Laboratory of Modern Acoustics,MOE,and Institute of Acoustics,Nanjing University,1. Key Laboratory of Modern Acoustics,MOE,and Institute of Acoustics,Nanjing University,1. Key Laboratory of Modern Acoustics,MOE,and Institute of Acoustics,Nanjing University,1. Key Laboratory of Modern Acoustics,MOE,and Institute of Acoustics,Nanjing University |
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| Abstract: | Discrete-time model is the basis for digital controlling the loudspeaker system. An autoregressive moving average (ARMA) model of fourth-order band-pass loudspeaker system improved by LR-2 theory is proposed. Transfer function of the model is presented and then transformed to time domain difference equations to depict the instantaneous status of the loudspeaker system. The experimental results illustrate that, compared with the numerical simulation results from the state-space equation, the ARMA model proposed in this paper is more stable and precise, also shows lower sampling rate requirements. |
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| Keywords: | fourth-order band-pass loudspeaker systems state-space equation transfer function ARMA LR-2 |
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