Quantized Information in Spectral Cyberspace

Abstract

The constant-Q Gabor atom is developed for spectral power, information, and uncertainty quantification from time–frequency representations. Stable multiresolution spectral entropy algorithms are constructed with continuous wavelet and Stockwell transforms. The recommended processing and scaling method will depend on the signature of interest, the desired information, and the acceptable levels of uncertainty of signal and noise features. Selected Lamb wave signatures and information spectra from the 2022 Tonga eruption are presented as representative case studies. Resilient transformations from physical to information metrics are provided for sensor-agnostic signal processing, pattern recognition, and machine learning applications.

Acoustic Waves From a Distant Explosion Recorded on a Continuously Ascending Balloon in the Middle Stratosphere

“…The CWT used in this work is constructed according to the standardized constant‐Q variation of the Gabor atom detailed in Garcés (2020), with band order N = 6. The time‐frequency representations in this work are shown in bits, a binary logarithmic unit more natural to digital systems than the traditional decibel (Garcés, 2020, 2023).…”