  The dissipation of acoustic wave propagation has long been found to obey an
empirical power function of frequency, whose exponent parameter varies through
different media. This note aims to unveil the inherent relationship between
this dissipative frequency power law and 1/f spectral trend. Accordingly, the
1/f spectral trend can physically be interpreted via the media dissipation
mechanism, so does the so-called infrared catastrophe of 1/f spectral trend4.
On the other hand, the dissipative frequency power law has recently been
modeled in time-space domain successfully via the fractional calculus and is
also found to underlie the Levy distribution of media, while the 1/f spectral
trend is known to have simple relationship with the fractal. As a result, it is
straightforward to correlate 1/f spectral trend, fractal, Levy statistics,
fractional calculus, and dissipative power law. All these mathematical
methodologies simply reflect the essence of complex phenomena in different
fashion. We also discuss some perplexing issues arising from this study.
