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Date: Tue, 6 Jun 2017 21:07:51 -0400
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Subject: RE: LF: DK7FC in Todmorden at 2970 Hz
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Paul,

Thanks for your reply below. In available time I'm trying to verify that =
FDTD can be helpful for the ULF tests (and vice versa, that the ULF =
experimental results can validate FDTD for ULF).  So far I've found =
three positive indicators based on Stefan's tests at 2.97 kHz. One =
indicator is correlation of (a) extrapolated signal strength =
Cumiana/Todmorden, adjusted for antenna current (and including error =
margin for estimated sensitivity at Cumiana), with (b) the FDTD =
characteristics in the attached. For that purpose (particularly for =
comparing signal strengths extrapolated from SNR at known integration =
time and estimated receiver sensitivity), should I consider the =
effective integration time of your 9-day stack of 11-hour segments to be =
356400 seconds i.e. bandwidth 2.8 uHz?

Thanks,

Jim AA5BW


-----Original Message-----
From: owner-rsgb_lf_group@blacksheep.org =
[mailto:owner-rsgb_lf_group@blacksheep.org] On Behalf Of Paul Nicholson
Sent: Monday, March 27, 2017 3:54 PM
To: rsgb_lf_group@blacksheep.org
Subject: Re: LF: DK7FC in Todmorden at 2970 Hz


Jim wrote:

 > I=E2=80=99m not sure if Paul=E2=80=99s stacking process is more  > =
akin to coherent integration of the time-domain data

It is.  I'm simply adding the daily signals in the time domain.  A box =
car averaging with a repetition period of 24 hours.  The signal =
(hopefully) adds coherently to sum to 9 times the average amplitude of =
the received signal.  For the plots, I divide by nine (and by the =
average normalisation factor) to give a y axis scale representing the =
average received signal strength.

The signal doesn't integrate so well if I just do a single 9 day =
integration (actually 817200 seconds which is 2017-03-11_13:00 to =
2017-03-21_00:00, 9.45
days) in 1.22 uHz bandwidth.   For this I extract
13:00 to 00:00 each day, padding the gaps with zeros.
The peak is there but S/N not so good, only about
3 sigma.

I haven't been able yet to get anything out of the four 'unused' days =
(17th and 21st to 23rd).

 > Hard to imagine a tougher frequency range than the  > neighborhood of =
2970 Hz.

The average sferic energy is less here, so the sferic blanker is having =
to do less work - typically about
5% blanking factor.   The threshold doesn't seem
very critical at all.  The signal is amidst a forest
of mains harmonics.   That's not actually a problem
so long as the rx is impeccably linear and the hum doesn't have too many =
sidebands.

Maybe I'm just at an awkward distance where for example ground wave and =
sky wave are often cancelling.  In one respect the propagation ought to =
be simpler - we're below the waveguide cut-off frequency of the higher =
modes.

One problem I have with the very narrow bandwidths (ie less than say =
10uHz) is numerical noise due to limited floating point precision.  This =
certainly happens with the Goertzel algorithm of vtnspec and I have to =
use vtwspec for the long integrations.

--
Paul Nicholson
--

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