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@book{marple:1987, | ||
address = {Australia, Sydney}, | ||
author = {Marple, S. L.}, | ||
publisher = {Prentice Hall}, | ||
title = {Digital Spectral Analysis With Applications}, | ||
year = 1987 | ||
} | ||
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@book{percival:1993, | ||
title={Spectral analysis for physical applications: Multitaper and Conventional Univariate Techniques.}, | ||
author={Percival, Donald B and Walden, Andrew T}, | ||
year={1993}, | ||
publisher={cambridge university press} | ||
} | ||
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@article{harris:1978, | ||
author = {Harris, F. J.}, | ||
doi = {10.1109/PROC.1978.10837}, | ||
issn = {0018-9219}, | ||
journal = {Proceedings of the IEEE}, | ||
month = jan, | ||
number = 1, | ||
pages = {51--83}, | ||
publisher = {IEEE}, | ||
title = {On the use of windows for harmonic analysis with the discrete Fouriertransform}, | ||
url = {http://dx.doi.org/10.1109/PROC.1978.10837}, | ||
volume = 66, | ||
year = 1978 | ||
} | ||
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@article{welch:1967, | ||
author = {Welch, P.}, | ||
journal = {IEEE Transactions on Audio and Electroacoustics}, | ||
volume = 15, | ||
number = 2, | ||
pages = {70--73}, | ||
title = {The use of fast Fourier transform for the estimation of power spectra: a method based on time averaging over short, modified periodograms} | ||
year = 1967 | ||
} | ||
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--- | ||
title: 'Spectrum': Spectral Analysis in Python | ||
tags: | ||
- spectral analysis | ||
- periodogram | ||
- yule-walker | ||
- multi-tapering | ||
- burg | ||
- ARMA | ||
- eigen-values | ||
- tapering windows | ||
authors: | ||
- name: Thomas Cokelaer | ||
orcid: 0000-0001-6286-1138 | ||
affiliation: 1 | ||
affiliations: | ||
- name: Institut Pasteur | ||
index: 1 | ||
date: 2 August 2017 | ||
bibliography: paper.bib | ||
--- | ||
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# Summary | ||
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**Spectrum** is a Python library that includes tools to estimate Power Spectral Densities. Methods | ||
available are based on Fourier transform, parametric methods or eigenvalues analysis. | ||
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- The Fourier methods are based upon correlogram, periodogram and Welch estimates. Standard tapering windows (Hann, Hamming, Blackman) and more exotic ones are available (DPSS, Taylor, ...)[harris:1978],[welch:1967],[marple:1987]. | ||
- The parametric methods are based on Yule-Walker, BURG, MA and ARMA, covariance and modified covariance methods [marple:1987],[percival:1993]. | ||
- Non-parametric methods based on eigen analysis (e.g., MUSIC) and minimum variance analysis are also implemented [marple:1987]. | ||
- Multitapering method is also available [percival:1993] | ||
- Classical tools useful to spectral analysis and more generally signal processing such as window tapering [harris:1978] or transfer function are also available within the library. | ||
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The following image shows the different methods of spectral estimation that are available in **Spectrum**. | ||
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-![https://doi.org/10.6084/m9.figshare.5270866.v1](psd_all.png) | ||
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# References |
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