Preprint Article Version 1 This version is not peer-reviewed

Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures

Version 1 : Received: 9 July 2020 / Approved: 14 July 2020 / Online: 14 July 2020 (05:49:04 CEST)
Version 2 : Received: 14 July 2020 / Approved: 16 July 2020 / Online: 16 July 2020 (06:07:48 CEST)

How to cite: Garces, M. Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures. Preprints 2020, 2020070292 (doi: 10.20944/preprints202007.0292.v1). Garces, M. Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures. Preprints 2020, 2020070292 (doi: 10.20944/preprints202007.0292.v1).

Abstract

Data acquisition by uncalibrated, heterogeneous digital sensor systems such as smartphones present emerging signal processing challenges. Binary metrics are proposed for the quantification of cyber-physical signal characteristics and features, and a highly standardized constant-Q variation of the Gabor atom is developed for use with wavelet transforms. Two different CWT reconstruction schemas are presented and tested under different SNR conditions. A sparse representation of the Nth order Gabor atoms worked well against a test blast synthetic using the wavelet entropy and a comparable entropy-like parametrization of the SNR as the CWT coefficient-weighting functions. The proposed methods should be well suited for dictionary-based machine learning.

Subject Areas

Gabor atoms; wavelet entropy; binary metrics; acoustics; quantum wavelet

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