With several repeatable ground wave reports on 472kHz WSPR using
my 20m baseline earth-electrode antenna today, I decided it was time
for a recalculation of my ERP based on a formula (for 500kHz) supplied
some years ago by Jim M0BMU. The assumption (from M0BMU, that
I am now unsure is right) is that the noise floor is around 3uV/m in a
2500Hz (WSPR) bandwidth. So, based on the WSPR S/N ratio the field
strength when using the earth-electrodes can be calculated.
G3ZJO at 79km gets me at around -19dB giving my field strength
around 355nV/m.
G3XDV at 61km he gets me around -12dB S/N giving my field
strength around 810nV/m.
M0BMU at 69km he gets me around -30dB S/N giving a field
strength around 100nV/m
ERP Calculations (NB the earth-electrode antenna
behaves like a loop so has directionality that has not been considered)
ERP using G3ZJO's results = (E*d)^2/49; with E = 355nV, d = 79km
ERP = 16uW
ERP using G3XDV's results = (E*d)^2/49; with E = 810nV, d = 61km ERP
= 49uW
ERP using M0BMU's results = (E*d)^2/49; with E =100nV, d = 69km ERP
= 1uW
Now, to me these figures seem far too low, so perhaps
the noise level is much higher than 3uV/m or my maths are wrong?
Certainly the noise floor here is S4- S8 due to SMPSUs and other noise
sources, so higher than 3uV/m.
I think these ERP numbers can be doubled based on ground wave losses
but, even so, the figures appear to be extremely low. My
Marconi antenna is some 8dB (average) better than the earth-electrode
antenna and I am sure the ERP is well above 1mW using this antenna. My
RF into the earth electrodes is 10W.
Conclusions
I am totally puzzled: measuring antenna current on the Marconi I get
ERPs that are an order of magnitude higher yet measured results with
the earth-electrode antenna average just 8dB down on the Marconi. This
suggests ERPs for the earth-electrode antenna in the low mW region,
which I find much more believable. My maths has never been good, so it
is possible I have made mistakes, so I would welcome any corrections.
For now, I am of the view that the ERP is around 5mW for the
earth-electrode antenna and around 30mW with the Marconi, yet measured
results suggest much less.
Any thoughts please?
73s
Roger G3XBM