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A MUSICAL USE FOR THE HAAR FUNCTION WAVELET

机译:Haar函数小波的音乐用途

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摘要

The utility of the Haar function wavelet has long been dismissed due to its inability to transpose between the time domain and the frequency domain. However, the Haar function possesses attributes that make it an ideal wavelet for certain applications. In this paper, we explore the use of the Haar function as a means to expose aspects of musical tone that are not available through other sound analysis techniques. Specifically, the method presented here was used to identify the differences in the tone of the French Horn created by different acoustically reflective surfaces placed in the near field of the horn bell. The fundamentals of the Haar function wavelet are described and its use as a signal analyzer is explained. Results are shown that demonstrate the effect of two different kinds of sound reflectors constructed for a major North American concert hall.
机译:Haar函数小波的实用性由于无法在时域和频域之间进行转置而早已被摒弃。但是,Haar函数具有使其成为某些应用程序的理想小波的属性。在本文中,我们探索了Haar函数的使用方法,以揭示其他声音分析技术无法提供的音乐音调方面。具体而言,此处介绍的方法用于识别由放置在喇叭铃近场中的不同声反射表面所产生的圆号音调的差异。描述了Haar函数小波的基本原理,并解释了其作为信号分析仪的用途。结果表明,为北美主要音乐厅建造的两种不同类型的声音反射器的效果。

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