Re: Wanting to take a FFT transform of a irregularly spaced sample
"ashwin .D" <[email protected]> Fri, 15 Apr 2022 15:57:32 +0530
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Robert,
Thanks. I have enclosed the results for your interest. So
x.png is the untrended plot of periodogram vs. frequency. Note the spike
near the low frequency area of the x axis(close to zero). Those I believe
are the atmospheric tides(
https://patarnott.com/atms411/pdf/class2018/atmosTides.pdf__. But the
detrended plot has a richer zoo of frequencies including some higher
frequency ones while at the same time reproducing the atmospheric tides.
I had one final question. In this peer reviewed paper (figure 4)
https://journals.ametsoc.org/view/journals/apme/57/10/jamc-d-17-0250.1.xml
they calculate the phase of the Lomb Scargel periodogram. I checked the
scipy API for that but it does not seem to be available. It is available in
the gatspy/astropy packages
https://stackoverflow.com/questions/49859075/lomb-scargle-phase. Is that
the better way to go then ?
On Wed, Apr 13, 2022 at 8:24 PM Robert Kern <[email protected]> wrote:
> On Wed, Apr 13, 2022 at 10:34 AM ashwin .D <[email protected]> wrote:
>
>> Based on this github issue I had to make one modification -
>> https://github.com/scipy/scipy/issues/13812
>> as shown below. I had to remove the zero frequency
>> signal.lombscargle(minutes,df1.to_numpy().ravel(),freq[1:])
>>
>
> Indeed. Sorry, I have not actually used lombscargle() in anger, and that
> requirement is not mentioned in the docstring (though it is manifest in the
> example).
>
>
>> and the code works just fine now. The interpretation task awaits me now .
>>
>> For the record here is the code -
>>
>> times = df.view(np.int64)/6E10
>>
>>
>> df1 = (data[['Pressure_hPa']])
>>
>> # I also added a 2 to the angular frequency value
>> freq = np.linspace(0, 2*np.pi/300.0,8928//2)
>>
>
> You only want to go up to the Nyquist frequency of the original sampling.
> If `times` is in units of seconds and the sampling period is 5 minutes
> (300s), then the (angular) Nyquist frequency is np.pi/300.
>
> --
> Robert Kern
> _______________________________________________
> SciPy-User mailing list -- [email protected]
> To unsubscribe send an email to [email protected]
> https://mail.python.org/mailman3/lists/scipy-user.python.org/
> Member address: [email protected]
>
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<div dir=3D"ltr">Robert,<div>=C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=A0 =C2=
=A0 Thanks. I have enclosed the results for your interest.=C2=A0 So x.png i=
s the untrended plot of periodogram vs. frequency. Note the spike near the =
low frequency area of the x axis(close to zero). Those I believe are the at=
mospheric tides(<a href=3D"https://patarnott.com/atms411/pdf/class2018/atmo=
sTides.pdf__">https://patarnott.com/atms411/pdf/class2018/atmosTides.pdf__<=
/a>. But the detrended plot has a richer zoo of frequencies including some =
higher frequency ones while=C2=A0at the same time reproducing the atmospher=
ic tides.=C2=A0</div><div><br></div><div>I had one final question. In this =
peer reviewed paper (figure 4) <a href=3D"https://journals.ametsoc.org/view=
/journals/apme/57/10/jamc-d-17-0250.1.xml">https://journals.ametsoc.org/vie=
w/journals/apme/57/10/jamc-d-17-0250.1.xml</a> they calculate the phase of =
the Lomb Scargel periodogram. I checked the scipy API for that but it does =
not seem to be available. It is available in the gatspy/astropy packages=C2=
=A0 <a href=3D"https://stackoverflow.com/questions/49859075/lomb-scargle-ph=
ase">https://stackoverflow.com/questions/49859075/lomb-scargle-phase</a>. I=
s that the better way to go then ?=C2=A0</div></div><br><div class=3D"gmail=
_quote"><div dir=3D"ltr" class=3D"gmail_attr">On Wed, Apr 13, 2022 at 8:24 =
PM Robert Kern <<a href=3D"mailto:[email protected]">robert.kern@gma=
il.com</a>> wrote:<br></div><blockquote class=3D"gmail_quote" style=3D"m=
argin:0px 0px 0px 0.8ex;border-left:1px solid rgb(204,204,204);padding-left=
:1ex"><div dir=3D"ltr"><div dir=3D"ltr">On Wed, Apr 13, 2022 at 10:34 AM as=
hwin .D <<a href=3D"mailto:[email protected]" target=3D"_blank">winash1=
[email protected]</a>> wrote:<br></div><div class=3D"gmail_quote"><blockquote =
class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-left:1px sol=
id rgb(204,204,204);padding-left:1ex"><div dir=3D"ltr"><div>Based on this g=
ithub issue I had to make one modification -=C2=A0<a href=3D"https://github=
.com/scipy/scipy/issues/13812" target=3D"_blank">https://github.com/scipy/s=
cipy/issues/13812</a></div><div>as shown below. I had to remove the zero fr=
equency=C2=A0</div>signal.lombscargle(minutes,df1.to_numpy().ravel(),freq[1=
:])</div></blockquote><div><br></div><div>Indeed. Sorry, I have not actuall=
y used lombscargle() in anger, and that requirement is not mentioned in the=
docstring (though it is manifest in the example).</div><div>=C2=A0</div><b=
lockquote class=3D"gmail_quote" style=3D"margin:0px 0px 0px 0.8ex;border-le=
ft:1px solid rgb(204,204,204);padding-left:1ex"><div dir=3D"ltr"><div>and t=
he code works just fine now. The interpretation task awaits me now .=C2=A0<=
/div><div><br></div><div>For the record here is the code -=C2=A0</div><div>=
<br></div><div>times =3D df.view(np.int64)/6E10<br><br><br>df1 =3D (data[[&=
#39;Pressure_hPa']])<br><br># I also added a 2 to the angular frequency=
value=C2=A0</div><div>freq =3D np.linspace(0, 2*np.pi/300.0,8928//2)</div>=
</div></blockquote><div><br></div><div>You only want to go up to the Nyquis=
t frequency of the original sampling. If `times` is in units of seconds and=
the sampling period is 5 minutes (300s), then the (angular) Nyquist freque=
ncy is np.pi/300.</div><div><br></div></div>-- <br><div dir=3D"ltr">Robert =
Kern</div></div>
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rg" target=3D"_blank">[email protected]</a><br>
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el=3D"noreferrer" target=3D"_blank">https://mail.python.org/mailman3/lists/=
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Member address: <a href=3D"mailto:[email protected]" target=3D"_blank">win=
[email protected]</a><br>
</blockquote></div>
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