An explanation of infrared catastrophe of 1/f power spectra

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dc.creatorChen, W.
dc.date2003-05-09
dc.date.accessioned2026-07-07T04:30:10Z
dc.date.available2026-07-07T04:30:10Z
dc.descriptionChen [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.
dc.descriptionWelcome any comments to wenc@simula.no
dc.identifierhttps://arxiv.org/abs/math-ph/0305019
dc.identifierhttp://arxiv.org/abs/math-ph/0305019
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57384
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject26Axx; 26A33; 74Dxx; 60Gxx
dc.titleAn explanation of infrared catastrophe of 1/f power spectra
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