On the subject of "S" meters
An "S" meter is fitted to some radio's (Communication Receivers)
to allow the user to determine the signal strength
of the transmission being received.
But what does this all mean?
As a guide; S9 on the S meter scale is reckoned to be equal to
a potential of 50 uV signal voltage at the receivers aerial input.
Also each "S" point is said to represent a 6 db change (up or down).
A 6 db change coincidentally represents a doubling (or halving)
of a voltage before/after the aforesaid change.
Recalling the well known textbook formula:
db = 20 log v2/v1 ........... substituting values
= 20 log2
= 20 x 0.3010
= 6 db
Therefore the relationship of "S" meter reading to input signal voltage obeys the law
uV = k 2 s [k is a constant] (derivation shown soon!)
That is; because of the signal voltage doubling for each increase in "S" point
the signal voltage is directly proportional to the base 2 raised to an exponent being the "S" number.
To bring this into some perspective:
If 50 uV represents S9, then substituting in the above formula
50 = k x 2 9
therefore k =50/512
To obtain (say) the signal voltage corresponding to S4 we can substitute in the above formula
uV = k 2 s
= 50/512 x 2 4
= 1.5625 uV
Constructing a table of values based on the above we get:
Therefore: as you can see, each change in "S" point represents a doubling (or halving)
of its immediate predecessor, all referenced to S9 being 50 uV
(Some archaic texts suggest S9 as being 100uV),
but the principle is still the same.
SIMPLE REALLY !
"S" meter based on S9 representing 50uV