<< Power spectral densities are a common, convenient, and powerful way to analyze signals. So much so that they are now broadly deployed across the sciences and engineering - from quantum physics to cosmology, and from crystallography to neuroscience to speech recognition. The features they reveal not only identify prominent signal-frequencies but also hint at mechanisms that generate correlation and lead to resonance. Despite their near-centuries-long run of successes in signal analysis, here (AA) show that flat power spectra can be generated by highly complex processes, effectively hiding all inherent structure in complex signals. >>
P. M. Riechers, J. P. Crutchfield. Fraudulent White Noise: Flat power spectra belie arbitrarily complex processes. arXiv:1908.11405v1 [cond-mat.stat-mech] Aug 29, 2019. https://arxiv.org/abs/1908.11405
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