Computes standardized time-frequency representations (TFRs) for power, information, and entropy, built on the Gabor wavelets with minimal time-frequency uncertainty with logarithmic constant-Q base 2 (binary) scales and frequency bands of quantized order N.
All algorithms are based on FFTs for computational efficiency. The short-term Fourier transform (STFT) is included as the baseline TFR. Algorithms for the Continuous Wavelet Transform (CWT), Discrete Wavelet Transform (DWT), and Stockwell Transform (STX) are provided.
Refer to the open access publications:
Recommended background 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].
pip install quantum-infernoMore details will be placed in the Installation guide.
Full examples can be found in the examples documentation.
Check the API Documentation.
- Found an issue? Submit a bug report.
- MIT License