Matching Pursuit Based Adaptive Chirplet Transform (MPACT)

MPACT is an open-source MATLAB® toolbox that implements multi-component chirplet signal analysis

$$s\left( t\right) = {\left( \frac{\alpha }{\pi }\right)} ^{1/4}\exp \left[ -\frac{\alpha }{2}{\left( t-t_{0}\right)} ^{2}\right] \times \exp \left[ j\frac{\beta }{2}{\left( t-t_{0}\right)} ^{2}\right] \exp \left[ j\omega _{0}\left( t-t_{0}\right) \right]$$

using matching pursuit algorithm. The code repository for MPACT is hosted on GitHub at https://github.com/jiecui/mpact.

Installation

1. Copy the files to the directory of your choice, e.g. ~/mpact/
2. Within MATLAB, go the directory where you have copied the files e.g. >> cd(‘~/mpact/’);
3. Add the directory and its subdirectories into MATLAB search path.
4. Type MATLAB command, i.e. >> doc, to bring up MATLAB help browser.
5. Find “Adaptive Chirplet Transform with Matching Pursuit Toolbox” in the section of Supplemental Software.
6. Follow the instructions on the screen.

References

• Cui, J. and D. Wang (2017). "Biosignal Analysis with Matching-Pursuit Based Adaptive Chirplet." arXive (pre-print https://arxiv.org/abs/1709.08328)

• Cui, J. and W. Wong (2006). "The adaptive chirplet transform and visual evoked potentials." IEEE Transactions on Biomedical Engineering 53(7): 1378-1384.

• Cui, J., Wong, W., & Mann, S. (2005). "Time-frequency analysis of visual evoked potentials using chirplet transform." Electronics Letters, 41(4), 217-218. (PDF http://individual.utoronto.ca/jiecui/_private/Time_frequency_chirplet_vep.pdf)

License

MPACT is distributed by the GPL v3 Open Source License.