isla-uh/libquantum

Standardized Gabor atom representations with minimal time-frequency uncertainty.

libquantum

Description

Standardized time-frequency representations built on Gabor uncertainty principle for logarithmic constant Q base 2 (binary) frequency bands of quantized order N.

NOTE: Requirements upgraded to run on Apple M1 Silicon chip with the RedVox SDK version 3.1.0 or later. Please read the notes on requirements.txt

Refer to the open access publications:

• Garces (2020), Quantized Constant-Q Gabor Atoms for Sparse Binary Representations of Cyber-Physical Signatures

• Garces (2013), On Infrasound Standards, Part 1 Time, Frequency, and Energy Scaling

For the GT blast pulse, refer to:

• Garcés, M. A. (2019). Explosion Source Models, Chapter in Infrasound Monitoring for Atmospheric Studies, Second Edition, Springer

• Schnurr, J. M., K. Kim, M. A. Garcés, A. Rodgers (2020). Improved parametric models for explosion pressure signals derived from large datasets, Seism. Res. Lett.

• Kim, K, A. R. Rodgers, M. A. Garces, and S. C. Myers (2021). Empirical Acoustic Source Model for Chemical Explosions in Air, Bulletin of the Seismological Society of America

Recommended reading in chronological order:

• Gabor, D. Theory of Communication, Part 3. Electr. Eng. 1946, 93, 445–457.
• Shannon, C.E. The Mathematical Theory of Communication; University of Illinois Press: Urbana, IL, USA, 1998; [1949 first ed].
• Harris, F. J. On the Use of Windows for Harmonic Analysis with the Discrete Fourier Transform, Proceedings of the IEEE, 1978, 66 (1), 51-83.
• Cohen, L. Time-Frequency Analysis, Prentice-Hall, NI 07458, 1995.
• Stockwell, R. G., Mansina, L, and R. P. Lowe. Localization of the Complex Spectrum: The S Transform. Signal Processing, IEEE Transactions, 1996, 44 no. 4, 998-1001.
• Mallat, S. A Wavelet Tour of Signal Processing: The Sparse Way, 3rd ed.; Academic Press: Cambridge, MA, USA, 2009 [1998 first ed].

Installation

pip install libquantum

More details in the Installation guide.

Examples

Full examples can be found in the examples documentation.

API Documentation

Check the API Documentation.

Resources

• Found an issue? Submit a bug report.
• Apache License