Tech Talk continues after
the Wednesday evening net. The subject this past Wednesday
was "defining dB" or at least it was supposed to be. Some
technical difficulties caused parts of the discussion to be
lost. If you wonder what you missed, here it is in print.
This was from an article which originally appeared in the Sept.
06 issue of the SARS newsletter.
At Monday's SARS meeting, Arnie N6APA demonstrated a new
miniaturized "fox" that he had recently bought. This device was
about the size of a Bic Lighter and was programmed to send a CW
message and a series of tones on a particular frequency.
When asked what power output the device produced he looked it up
and said "12 dBm". (I think that was the number) but how does
one relate that to the power produced by a typical ham radio?
The conversion is really quite simple once you understand a few
terms. Firstly, dBm stands for Decibels in miliwatts, so one dBm
is one miliwatt.
Let's look at some dB tables. In the handbook they look pretty
complicated but you only need to remember 4 values and you can
do power conversions like an expert, even in your head.
The values you need to remember are, on the power side (we'll
talk about the voltage and current side later) are one, three,
six and 10. That's all; 1, 3, 6 and 10
Here's what those numbers represent in decibels:
One is a gain in power of about 20%, or more exactly 1.259. If
you multiply one miliwatt (one dBm) times 1.259 you get 1.259
miliwatts. So far so good, right? If you feel like rounding your
numbers for simplicity, no one will care because the difference
is so small unless you're in a lab it won't matter. One dB is
"about" 20% so a gain of 1 dBm produces "about" 1.2 miliwatts.
The next number we remember is 3 dB. 3 dB represents a power
gain of 1.995 or nearly 200%. If we have a gain of 3 dBm, we are
looking at nearly 2 milliwatts.
Now we take the next memory position: 6 dB. 6 dB represents a
power gain of 3.981 or nearly 400%. If we have a gain of 6 dBm,
we see nearly 4 miliwatts.
And finally we need to remember 10 dB. 10 dBm represents a power
gain of 10 times or 1000%. A gain of 10 dBm delivers a
blistering 10 miliwatts.
Can you see something to compare to this in the Ham world? My
hand held radio on low power puts out 300 miliwatts. How many
dBm would that be?
Ok, we see that 10 dBm is 10 miliwatts, so if we have another 10
dB gain, that's 10 times 10 or 100 miliwatts.
in other words, 20 dBm is 100 miliwatts. If we add 6 dB to that,
making 26 dBm we would have 400 miliwatts. That's MORE power
than my hand held produces, so how many dB do I need to subtract
from 400 miliwatts to get to 300? Let's do it the easy way and
go back to 20 dBm. We said that 20 dBm was equivalent to 100
miliwatts. Let's instead of adding 6 dB to that, add only 3 dB.
Remember what 3 dB is? Yep double. So 23 dBm is about 200
miliwatts. (199.5 to be exact).
Ok, we're getting there. Let's add one dB to 199.5 miliwatts. Do
you remember that one dB is "about 20%" or exactly 1.259?
Multiplying 199.5 mW times 1.259 gives us 251 miliwatts (21
dBm). Let's add one more dB. 251 mW times 1.259 gives us 316
miliwatts and that's about as close as we can get without using
a scientific calculator but isn't that good enough? The next
time you're in a computer store, grab a wireless device and look
at the power output. It will usually be in dBm and if it's
running in the max it should say something like 400 dBm. Can you
do that in your head? One times 10 is 10 times 10 is 100 times 4
(6 dB) is 400. Wow! that device is running 400 miliwatts.
So, what is Arnie's fox running at 12 dBm? One times 10 is 10
times 1.259 (one dB) is 12.59 miliwatts. Close enough?
in Summary: one dB is 1.259 or about 20%...3 dB is 1.995 or
roughly double.....6 dB is 3.981 or just about 4 times and 10 dB
is an even ten times the value.
If you want to see the entire table go to the September 2006
newsletter and print out the page on defining dB. You will
notice that the values on the far right are V2/V1 or I2/I1 and
they are different. Why? Because power is derived from BOTH
voltage and current (P=IxE) but if you want to do voltage gains
in your head you still need only remember 4 key points. Check it
out.
How about decibel loss? It's the same 4 numbers but in a
different format. In my General course I introduce the
reciprocal which is one of the most useful arithmetic functions
you can use. Any time you divide a number into 1, you get it's
reciprocal. Take 3 dB for example. Divide 1.995 into 1 and you
get .5012. When you look on the gain side of the dB chart you
will see that .5012, which is the reciprocal of 1.995 just
happens to be -3, or a loss of 3 dB.
Loss calculations are pretty important when you're dealing with
antennas. Antennas can produce gain, which offsets the loss
caused by the feedline. Anytime you come out on the positive
side of these dB calculations you will be radiating more power
than your transmitter is producing. Pretty cool.
By now you are probably familiar
with "Google Earth" and if so you are also aware of a
number of Amateur Radio related features offered by this amazing
program. I recently heard a ham in Missouri talking to a
mobile station in Lake County and she was actually following
along using the APRS overlay. Even though the satellite
photos are a few years old, a station running an APRS setup will
appear on them just as if they were new. Fascinating!
But here's a fairly new application: Viewing the
ionosphere in near-real-time and seeing how the total electron
count, from solar radiation is affecting propagation at any
given time. Pretty to look at too even if the band is
dead.
Here's the website of the Space Environment Corporation
where you can see the Google Earth feature demonstrated and get
a download if you should need it.
If you already have Google Earth installed, go to the link
above and click on Total Electron Count to see the overlay in
action.
Thanks Howard, K6IA