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Sparse Time-Frequency representation (Sparse STFT, and Sparse Stockwell transfrom)

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SparseSTFT

Sparse Short Time Fourier Transform (SparseSTFT)

The algorithm is based on the constant window function and optimization in the time-domain with two examples.

Example

The figure shows the result of Demo2.py code.
The top subplot shows the ground motion data recorded by Kik-Net stations at Japan.
The middle subplot is the Sparse TF Representation of seismogram.
The bottom subplot is the reisudal between observed and reconstructed data.

alt text


Take a look at second example (link)

Citation

D. D. Esfahani, Reza & Askari, Radwin & Gholami, Ali. (2018). Sparsity promoting method to estimate the dispersion curve of surface wave group velocity. GEOPHYSICS. 84. 1-40. 10.1190/geo2018-0138.1.

Gholami, Ali. (2013). Sparse Time-Frequency Decomposition and Some Applications. IEEE Transactions on Geoscience and Remote Sensing. 51. 3598-3604. 10.1109/TGRS.2012.2220144.

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