Walsh analysis - a convenient preprocessor for period detection in astronomy
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Walsh analysis is practically analogous to Fourier analysis, except that square wave is used instead of the sine one. It has one major advantage over Fourier - it can be performed much faster. This may seem of little importance at first, since computers have gotten to the point where most programmers do not take any care about the size of their code or the speed of their calculations. However, LSST will provide astronomers with huge data sets, and searching for periodicity peaks with high resolution might require enourmous amount of calculations. To perform this analysis in real time (a matter of seconds) it is important to skip non-necessary mathematical operations and focus on applying complex period detection algorithms (such as line fitting, analysis of variance, and others) only in the vicinity of expected peaks, not on all arbitrary periods. To do this efficiently, we propose that Walsh analysis is applied on the data first. A simulation was conducted with artifiucially generated... light curves for the three types of variable stars: RRLyr, Algols and classical cepheids. LSST current baseline cadence (enigma 1189) was used for the timing of samples.
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LSST@Europe2 Conference Book of Abstracts, 2016, 58-Publisher:
- Astronomical Observatory Belgrade
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Inovacioni centarTY - CONF AU - Malović, Miodrag AU - Jevremović, Darko PY - 2016 UR - http://TechnoRep.tmf.bg.ac.rs/handle/123456789/6007 AB - Walsh analysis is practically analogous to Fourier analysis, except that square wave is used instead of the sine one. It has one major advantage over Fourier - it can be performed much faster. This may seem of little importance at first, since computers have gotten to the point where most programmers do not take any care about the size of their code or the speed of their calculations. However, LSST will provide astronomers with huge data sets, and searching for periodicity peaks with high resolution might require enourmous amount of calculations. To perform this analysis in real time (a matter of seconds) it is important to skip non-necessary mathematical operations and focus on applying complex period detection algorithms (such as line fitting, analysis of variance, and others) only in the vicinity of expected peaks, not on all arbitrary periods. To do this efficiently, we propose that Walsh analysis is applied on the data first. A simulation was conducted with artifiucially generated light curves for the three types of variable stars: RRLyr, Algols and classical cepheids. LSST current baseline cadence (enigma 1189) was used for the timing of samples. PB - Astronomical Observatory Belgrade C3 - LSST@Europe2 Conference Book of Abstracts T1 - Walsh analysis - a convenient preprocessor for period detection in astronomy SP - 58 UR - https://hdl.handle.net/21.15107/rcub_technorep_6007 ER -
@conference{ author = "Malović, Miodrag and Jevremović, Darko", year = "2016", abstract = "Walsh analysis is practically analogous to Fourier analysis, except that square wave is used instead of the sine one. It has one major advantage over Fourier - it can be performed much faster. This may seem of little importance at first, since computers have gotten to the point where most programmers do not take any care about the size of their code or the speed of their calculations. However, LSST will provide astronomers with huge data sets, and searching for periodicity peaks with high resolution might require enourmous amount of calculations. To perform this analysis in real time (a matter of seconds) it is important to skip non-necessary mathematical operations and focus on applying complex period detection algorithms (such as line fitting, analysis of variance, and others) only in the vicinity of expected peaks, not on all arbitrary periods. To do this efficiently, we propose that Walsh analysis is applied on the data first. A simulation was conducted with artifiucially generated light curves for the three types of variable stars: RRLyr, Algols and classical cepheids. LSST current baseline cadence (enigma 1189) was used for the timing of samples.", publisher = "Astronomical Observatory Belgrade", journal = "LSST@Europe2 Conference Book of Abstracts", title = "Walsh analysis - a convenient preprocessor for period detection in astronomy", pages = "58", url = "https://hdl.handle.net/21.15107/rcub_technorep_6007" }
Malović, M.,& Jevremović, D.. (2016). Walsh analysis - a convenient preprocessor for period detection in astronomy. in LSST@Europe2 Conference Book of Abstracts Astronomical Observatory Belgrade., 58. https://hdl.handle.net/21.15107/rcub_technorep_6007
Malović M, Jevremović D. Walsh analysis - a convenient preprocessor for period detection in astronomy. in LSST@Europe2 Conference Book of Abstracts. 2016;:58. https://hdl.handle.net/21.15107/rcub_technorep_6007 .
Malović, Miodrag, Jevremović, Darko, "Walsh analysis - a convenient preprocessor for period detection in astronomy" in LSST@Europe2 Conference Book of Abstracts (2016):58, https://hdl.handle.net/21.15107/rcub_technorep_6007 .