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Published byDaisy Allison Modified over 9 years ago
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Time/frequency analysis of some MOST data F. Baudin (IAS) & J. Matthews (UBC)
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Just few words about time/frequency analysis Classical Fourier transform: FT[S(t)]( )= S(t) e i t dt Windowed Fourier transform: WFT[S(t)]( ,t 0 ) = S(t) W(t-t 0 ) e i t dt If W(t) = gaussian => Gabor transform If W(t, ) => wavelet transform
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Just a drawing about time/frequency analysis
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MOST data Equ [roAp] Oph [red giant] Boo [Post MS] Procyon [MS]
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Equ : a simple case?
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Equ : a simple case of beating Confirmation with simulation: modulation due to beating
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Oph : a more interesting case
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Signal + sine wave of constant amplitude => noise estimation
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Oph : a more interesting case Temporal modulation not due to noise: which origin?
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[ Boo] Noise : not so interesting but…
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Instrumental periodicities (CCD temperature?)
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Procyon: variability of the signal?
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Procyon: variability of the signal T < 10 days T > 10 days
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Procyon: variability of the signal T < 10 days T > 10 days
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Conclusion Time/Frequency analysis allows : variation with time of the (instrumental) noise [ Boo, Procyon] simple interpretation (beating) of amplitude modulation [ Equ] evidence of temporal variation of modes of unknown origin [ Oph]
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[Procyon] Noise : not so interesting but…
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