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Standardized Gabor atom representations with minimal time-frequency uncertainty.

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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:

For the GT blast pulse, refer to:

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