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噪声和音乐的分形维数

Fractal dimension of noise and music

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【作者】 刘娟娟李世昌赵岩雷洪

【Author】 LIU Juanjuan;LI Shichang;ZHAO Yan;LEI Hong;Key Laboratory of Electromagnetic Processing of Materials,Ministry of Education,Northeastern University;School of Metallurgy,Northeastern University;

【通讯作者】 雷洪;

【机构】 东北大学材料电磁过程研究教育部重点实验室东北大学冶金学院

【摘要】 为了辨别噪声和音乐,基于Python语言开发了声音软件SOUND 1.0,对校园内典型的音乐和噪音进行采样,对声音时域信号进行A计权声级分析,并通过傅立叶变换得到频域信号,计算了声音信号的简化盒维数、变分维数和信息维数。研究表明,服务器机房和锯草机械的A计权总声压级分别约为110 dB(A)。噪音时域信号的简化盒维数为1.05~1.12,变分维数为1.38~1.49;音乐的简化盒维数约为1.01~1.41,变分维数为1.32~2.00;噪音频域信号的信息维数为4.14~4.16,音乐频域信号的信息维数为4.09~4.16。

【Abstract】 The sound software SOUND 1.0 based on Python language is developed to distinguish noise from music. The software can sample typical music and noise on campus,and obtain the A-weighted sound level for the acoustic time-domain signal. Then,the frequency-domain signal is obtained by Fourier transform of the time-domain signal,and the simplified box dimension,the variation dimension,and the information dimension of the sound frequency-domain signal are calculated. The results show that,the A-weighted total sound pressure level of the server room and the grass sawing machine is about 110 dB(A). For the noise time domain signal,the simplified box dimension is 1.05~1.12,and the variation dimension is 1.38~1.49. For the music time domain signal,the simplified box dimension is 1.01~1.41,and the variation dimension is 1.32~2.00. For the noise frequency domain signal,the information dimension is 4.14~4.16. For the music frequency domain signal,the information dimension is 4.09~4.16.

【基金】 国家自然科学基金与宝钢联合基金(U1460108)
  • 【文献出处】 辽宁科技大学学报 ,Journal of University of Science and Technology Liaoning , 编辑部邮箱 ,2020年05期
  • 【分类号】TN912.3
  • 【下载频次】104
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