DECIBELS:
The decibel is not a measure of a particular electrical unit and
therefore figures that are expressed as a decibel are completely
meaningless unless they are related to a particular reference. A
decibel is actually one tenth of a Bel and is derived from the
logarithmic ratio of two voltages or current or power levels: One of
these levels
must
be
measured to act as the reference point in order that the other level
(or levels) can be expressed as dB relative to that point.
So; Decibels (dBs) represent a RATIO of one voltage to another, or one
power to another at the same impedance. Decibels can be either a
positive figure representing gain or a negative figure representing a
loss.
Here is a table of decibel relationships:
| Voltage
Loss |
Power
Loss |
dB |
Voltage
Gain |
Power
Gain |
| 1.000 |
1.000 |
0 |
1.000 |
1.000 |
| 0.981 |
0.977 |
0.1 |
1.012 |
1.023 |
| 0.977 |
0.955 |
0.2 |
1.023 |
1.047 |
| 0.966 |
0.933 |
0.3 |
1.035 |
1.072 |
| 0.955 |
0.912 |
0.4 |
1.047 |
1.096 |
| 0.944 |
0.891 |
0.5 |
1.059 |
1.122 |
| 0.933 |
0.871 |
0.6 |
1.072 |
1.148 |
| 0.912 |
0.832 |
0.8 |
1.096 |
1.202 |
| 0.891 |
0.794 |
1.0 |
1.122 |
1.259 |
|
|
1 |
|
|
| 0.794 |
0.631 |
2.0 |
1.259 |
1.585 |
| 0.708 |
0.501 |
3.0 |
1.413 |
1.995 |
| 0.631 |
0.398 |
4.0 |
1.585 |
2.512 |
| 0.562 |
0.316 |
5.0 |
1.778 |
3.162 |
| 0.501 |
0.251 |
6.0 |
1.995 |
3.981 |
| 0.447 |
0.200 |
7.0 |
2.239 |
5.012 |
| 0.398 |
0.159 |
8.0 |
2.512 |
6.310 |
| 0.355 |
0.126 |
9.0 |
2.818 |
7.943 |
| 0.316 |
0.100 |
10.0 |
3.162 |
10 |
|
|
1 |
|
|
| 0.200 |
0.0398 |
14.0 |
5.01 |
25.1 |
| 0.100 |
0.0100 |
20.0 |
10 |
100 |
|
|
|
|
|
dBs are added to represent the total gain or the total loss, while
the gain or losses that are expressed as fractions must be multiplied.
e.g. a power gain of 2.5 dB is dealt with thus: 2.0 dB plus 0.5 dB i.e.
1.585 X 1.122 = 1.778
Examples:
+
3dB
=
2 x
the power (or twice the loss, for example when dealing with feeder
losses) or 1.4 times the voltage
+ 6dB
=
4 x
the power or
2 x
the voltage or approximately
1
"S" point
+
9dB
=
8 x
the power or
3 x
the voltage
+10dB
=
10 x the
power or
3.16 x
the voltage or approximately
1.5
"S" points
+20dB
=
100 x the
power or
10 x
the voltage or approximately
6
"S" points
Transmitter
Power
Transmitter power is often expressed in Watts, but in amateur radio it
is common to find transmitter power expressed in
dBW. This is the power in decibels relative to one Watt.
e.g. if a transmitter is quoted as having an
output of 6dBW then that would be the same as saying that the power is
4 watts. If a transmitter is quoted as having a power of 14 dBW the
10dBW figure (i.e. 10 watts) is multiplied by the 4dBW
figure (i.e. 2.5 watts): 10W x 2.5 = 25 Watts.
Here is a table showing the conversion between dBW and Watts:
| dBW |
Power
in Watts |
|
dBW |
Power in Watts |
| 0 |
1 |
|
16 |
40 |
| 1 |
1.25 |
|
17 |
50 |
| 2 |
1.6 |
|
18 |
63 |
| 3 |
2.0 |
|
19 |
79 |
| 4 |
2.5 |
|
20 |
100 |
| 5 |
3.2 |
|
21 |
126 |
| 6 |
4 |
|
22 |
158 |
| 7 |
5 |
|
23 |
200 |
| 8 |
6.3 |
|
24 |
251 |
| 9 |
8 |
|
25 |
316 |
| 10 |
10 |
|
26 |
398 |
| 11 |
13 |
|
27 |
501 |
| 12 |
16 |
|
28 |
631 |
| 13 |
20 |
|
29 |
794 |
| 14 |
25 |
|
30 |
1,000 |
| 15 |
32 |
|
40 |
10,000 |
VSWR
Chart Showing
Percentage of Forward and Reflected Power at Various VSWR's:
|
| VSWR |
Forward Power
% |
Reflected
Power
% |
| 1.5 : 1 |
96 |
4 |
| 2 :1 |
89 |
11 |
| 2.5 : 1 |
82 |
18 |
| 3 : 1 |
75 |
25 |
| 3.5 : 1 |
70 |
30 |
| 4 : 1 |
64 |
36 |
| 4.5 : 1 |
60 |
40 |
| 5 : 1 |
56 |
44 |
| 6 : 1 |
50 |
50 |
| 7 : 1 |
44 |
56 |
| 8 : 1 |
40 |
60 |
| 9 : 1 |
36 |
64 |
| 10 : 1 |
33 |
67 |
|
|