Working Paper Article Version 3 This version is not peer-reviewed

Quantized 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)
Version 3 : Received: 10 August 2020 / Approved: 11 August 2020 / Online: 11 August 2020 (04:21:09 CEST)
Version 4 : Received: 13 August 2020 / Approved: 14 August 2020 / Online: 14 August 2020 (10:14:30 CEST)
Version 5 : Received: 18 August 2020 / Approved: 20 August 2020 / Online: 20 August 2020 (08:27:31 CEST)
Version 6 : Received: 25 August 2020 / Approved: 25 August 2020 / Online: 25 August 2020 (11:43:32 CEST)
Version 7 : Received: 29 August 2020 / Approved: 3 September 2020 / Online: 3 September 2020 (04:28:24 CEST)

A peer-reviewed article of this Preprint also exists.

Garcés, M.A. Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures. Entropy 2020, 22, 936. Garcés, M.A. Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures. Entropy 2020, 22, 936.

Journal reference: Entropy 2020, 22, 936
DOI: 10.3390/e22090936

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

Comments (1)

Comment 1
Received: 11 August 2020
Commenter: Milton Garces
Commenter's Conflict of Interests: Author
Comment: Minor modifications that will facilitate converting into code.
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