  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.
