1/f功率谱的红外突变解释
An explanation of infrared catastrophe of 1/f power spectra
摘要：
Chen [1]建立了1/f功率谱与声频幂律耗散之间的内在联系，并相应地提出了1/f功率谱的所谓红外突变的两种解释。本说明是一项直接的后续行动。主要进展是将有限持续时间声信号的1/f功率谱和幂律耗散联系起来，然后，我们在1/f功率谱中分解出Mandelbrot [2]预测的增广函数。红外灾难之谜的解决是这项研究的一个简单的副产品。在附录中，我们对间歇性湍流的1/f功率谱指数作了简要的评论。
英文摘要：
Chen [1] builds the intrinsic link between the 1/f power spectra and the acoustic frequency power law dissipation and, accordingly, presents two explanations of the so-called infrared catastrophe of the 1/f power spectra. This note is an immediate follow-up. The major progress is to connect the 1/f power spectra and the power law dissipation of an acoustic signal of finite duration, and then, we factor out the augmented function in the 1/f power spectra, predicted by Mandelbrot [2]. The resolution of the infrared catastrophe puzzle is an easy byproduct of this research. In the appendix, we give a brief comment on the exponent of the 1/f power spectra of intermittent turbulence.
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