房间声学系统非线性确定性的替代数据法检测
Detecting the Nonlinear Determinism of a Room Acoustic SystemUsing Surrogates
作者：徐自励(四川大学 电子信息学院,四川 成都 610064)；王一扬(四川大学 电子信息学院,四川 成都 610064)；周激流(四川大学 电子信息学院,四川 成都 610064)
Author：(School of Electronics and Info., Sichuan Univ., Chengdu 610064, China)；(School of Electronics and Info., Sichuan Univ., Chengdu 610064, China)；(School of Electronics and Info., Sichuan Univ., Chengdu 610064, China)
收稿日期：2006-08-03 年卷（期）页码：2007,39(5):155-158
期刊名称：工程科学与技术
Journal Name：Advanced Engineering Sciences
关键字：房间声学系统；非线性确定性；替代数据；假设检验
Key words：room acoustic system; nonlinear determinism; surrogates; hypothesis test
基金项目：国家自然科学基金资助项目(60472096)
中文摘要
实际房间声学系统是否具有非线性确定性是声学信号处理中值得研究的问题。采用替代数据法对实际房间声学系统的非线性确定性进行检测，假设实际系统响应是由平稳高斯随机过程经可逆、静态的非线性函数变换而得到，然后对该假设进行检验。由于实际实验所得的假设检验结果不能拒绝该假设，所以在给定实验条件下利用替代数据法不能得出实际房间声学系统具有非线性确定性的结论。对实际房间声学系统非线性确定性的判定可以通过利用其它的非线性分析技术及改善实验条件作进一步研究。
英文摘要
In acoustic signal processing，it is valuable to determine whether a real room acoustic system is nonlinear deterministic. In order to detect the nonlinear determinism, the method of surrogate is employed. The null hypothesis that a real system response is from a stationary Gaussian linear process distorted by an invertible, static, nonlinear measurement function is made and tested. Since the hypothesis can't be rejected by the experiment result, the nonlinear determinism of the real room acoustic system cannot be determined yet with the method of surrogate under the given experimental condition. Farther detection of the nonlinear determinism of a real room acoustic system will be carried out by employing other nonlinear analysis techniques and improving experimental conditions.
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