Abstract:Music signals are an important form for people to express their feelings and communicate each other.A system to produce music signals is a nonlinear dynamic one with time delay.It is difficult to analyze nonlinear characteristics of music signals with the tradition means.Here, a music signal was divided into parts with the section of a musical composition, local characteristics of a music signal were analyzed and then its whole characteristics were summarized and speculated.Through calculations, the power spectrum and Lyapunov exponent of a music signal were analyzed.The results showed that the music signal has weak chaotic characteristics; the music signal has a complex internal structure after the correlation dimension calculation; classic piano pieces have more consistent features and their internal structures are more complex compared with those of Disco and other kinds of music; the nonlinear characteristics of music signals are stable after the correlation dimension calculation with the definite difference method.
赵志成,方力先. 基于混沌理论的音乐信号非线性特征研究[J]. 振动与冲击, 2019, 38(3): 39-43.
ZHAO Zhicheng,FANG Lixian . Nonlinear characteristics of music signals based on chaos theory. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(3): 39-43.
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