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Ham Radio - RF Units Conversion
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Decibel Conversions. S6 M' ~/ a8 \( }9 f
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dB = 10 log [P2/P1]
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) f; ?' t4 J5 L8 p$ tDecibels relative to Power5 V0 K0 {7 `" o" w
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& i2 A4 ? p, n- dDecibel Conversions
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dB = 20 log [V1/V2]
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Decibels relative to Voltage across same resistance
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Decibel Conversions/ m( m# y$ n, _, A7 X
( S! X* _- I5 [7 ldB = 20 log [I1/I2]
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Decibels relative to Current through same resistance, L2 ?$ F$ b7 c' t* v; B, a
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& x0 M; _' Q0 N) v$ |9 aDecibel Conversions
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dBmV = 20 log [Signal (mV)/1mV]- x1 ?( z8 T9 ^. `
9 n' E. m3 o X7 h+ XDecibels relative to one microvolt across same resistance
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! ^* ~9 F: y, g# i9 S Q& VDecibel Conversions
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) q- Q) z: {' r3 g" [dBm = 10 log [Signal (mW)/1mW]
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' i' T# v$ B1 j# i$ i, wDecibels relative to one milliwatt
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3 w# v6 H+ u: U3 p9 y- YDecibel Conversions+ `0 v% @$ `+ j9 ?( l: N+ @
0 Z/ [* ]) u* Q1 L/ Q) U! KdBmA = 20 log [Signal (mA)/1mA]
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) T: ` x4 }: F) |* z* E1 wDecibels relative to one microamp through same resistance
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Power Conversions
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0 D8 K3 F: S( J [dBm = dBw + 30" v* |" k0 z7 g' F4 Z5 _
9 ^! u" F; _* j. z: R( ^6 `! yConversion from dBw to dBm.* [! \2 g7 b( r+ t
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! _2 m! N; _8 S8 Z' I$ A( ^% Z# dVoltage Conversions
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! G a7 B8 ]; s. `; P$ Y }- idBuv = dBv + 1206 c- j/ r5 r4 P. n9 B E
F( N! _$ v5 iConversion from dBv to dBuv.1 Y% R7 r+ g8 s& s+ y
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% d. l4 }1 r; b( ^! M! jVoltage to Power$ x0 K2 T% n' m" w
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dBm = dBmV - 107
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Where the constant 107 is as follows:- t0 i. Y, U0 ^8 S
* RF systems are matched to 50W4 f% `5 r E3 ~* k. H
P = V2 / R
! h) ] F% n: E9 _/ B10Log10[P] = 20Log10[V] - 10Log10[50W] N. g% k f* \9 f
V = (PR)0.5 = 0.223 V = 223000 mV
6 m" v$ J0 `8 j# U( F! ]$ |For a resistance of 50W and a power of 1 mW:' y: y5 @4 J, h$ o# y/ p
20Log10[223000mV] = 107 dB 2 T6 x# e$ z U" F0 i
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7 U/ I( }! Q! d* d, L- P3 s% K' iPower Density
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dBw/M2 = 10Log10[V/M - A/M]6 a- f& B [3 k( N" t6 ~
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Decibel-Watts per square meter.+ X L6 g: s6 K. T T( E+ b. P
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dBm/M2 = dBw/M2 + 30
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4 W [% {9 r* G' }. |# o5 \; xWhere the constant 30 is the decibel equivalent of the factor 1000 used to convert between W and mW:4 g$ t" Y( M/ B. w- K2 e
10Log10[1000] = 30. i4 p, C X$ n7 P+ h, C4 v
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* z, k: z0 |) s" Y1 u/ VConversion Units+ W E. |6 h; o1 q j. @
dB = decibels (Log10)7 R5 t; S) _+ K" r, \
u = micro = 10E-6
$ c, m! B7 p8 G+ u) S8 c5 f6 |$ Fm = milli = 10E-3
F( ], x/ ?, P) f$ N$ [, }dBw = decibels relative to one watt* A% Y, X' h5 G- J! T# N* Z2 A
dBm = decibels relative to one milliwatt
A8 @) V, }2 q$ g+ c @$ ~dBV = decibels relative to one volt' [: x/ _- Y1 k6 r7 ?
dBuV = decibels relative to one microvolt! m( U* D- B3 P! e) p7 D
dBuA = decibels relative to one microamp
7 j- p6 f* `5 o, P7 I0 q" c! hV = Volts
6 d8 {1 i0 E% ^A = Amps
" |- s) e2 ~! vI = Current! f. M7 _) {3 d1 a1 o1 ?
R = Ohms (50)
' L8 m2 T0 Y+ @/ N% K5 ^W = Watts
1 ~* y4 ?* a* J6 _0 ?5 B# J0 J0 TP = Power
9 f D: r( P/ Y2 ]/ Y# ~& [M = Meter |
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