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Ham Radio - RF Units Conversion : z# b! N' T7 `$ U
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Decibel Conversions
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dB = 10 log [P2/P1]
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Decibels relative to Power
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Decibel Conversions
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dB = 20 log [V1/V2]' H/ E! A: ?/ j) C* p$ Y9 }2 g
" ]6 K$ U0 I' g1 T$ ]9 s6 c9 e5 _Decibels relative to Voltage across same resistance
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( L% }- K8 V% p4 r4 {+ @Decibel Conversions6 {' E( R% \* m, n+ J
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dB = 20 log [I1/I2]
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Decibels relative to Current through same resistance! k o5 h8 v1 r
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Decibel Conversions
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" ]* Q( M- a+ t* |1 }dBmV = 20 log [Signal (mV)/1mV]
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+ P- Z" d; e. y: h! E+ \- PDecibels relative to one microvolt across same resistance5 i; M4 b8 C. _3 K$ c- m/ R: `, t
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Decibel Conversions
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" N& E x' n& H( ]. W( {dBm = 10 log [Signal (mW)/1mW]- `/ z0 @2 e; d' P9 }
: X: n0 G8 M; j7 s& w* q# HDecibels relative to one milliwatt) C& U2 {5 b; q1 B% K
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Decibel Conversions4 t( k9 o" ^, {, o: ^" o2 c
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dBmA = 20 log [Signal (mA)/1mA]4 F5 b. l# V8 s# F, g7 i7 J, D
* l; f. |4 z/ t, K' j$ E& M) M& SDecibels relative to one microamp through same resistance
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Power Conversions: m0 f( d1 c$ R4 a# R0 D
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dBm = dBw + 30
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8 v" |# ~% l8 iConversion from dBw to dBm.4 F# y( }# }' N7 y
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( e2 J8 ^2 S) ^+ P0 X* LVoltage Conversions0 F1 t2 F1 |& n* i9 S! j
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dBuv = dBv + 120
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+ b/ t8 E5 R% W2 ^9 v9 d4 Q; pConversion from dBv to dBuv.& ]7 {2 [. J0 v4 i& |
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: k0 F- r& {6 Z1 ZVoltage to Power
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) |" f7 {; ]& y6 M% K, O/ G; NdBm = dBmV - 107" L) {* V7 ?1 e& c, i
; C" o) B/ ?% o3 _+ eWhere the constant 107 is as follows: u! R, h4 q/ t2 m* j
* RF systems are matched to 50W
1 L$ K( S k) @% A' K# a$ cP = V2 / R+ E( U/ f( i2 I* v7 h# k$ n7 j
10Log10[P] = 20Log10[V] - 10Log10[50W]
5 { Y' C; I5 [V = (PR)0.5 = 0.223 V = 223000 mV6 N' V5 K3 P) L& n. l/ i% z4 p6 P
For a resistance of 50W and a power of 1 mW:0 |/ c- \4 I; x. ^; b
20Log10[223000mV] = 107 dB 5 e) y8 a" v" a1 t! v
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. a. l, ?# T7 F* s0 Y& z3 H4 iPower Density
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4 y6 D7 T, a1 U+ J. fdBw/M2 = 10Log10[V/M - A/M]7 ?: ?% `) ~) q- p* s1 r! U5 e
0 x( b% K/ U$ \$ a. MDecibel-Watts per square meter.* _. U+ b1 i7 |4 t3 {
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Power Density- N* h% K# I9 |- ` K
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dBm/M2 = dBw/M2 + 30
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Where the constant 30 is the decibel equivalent of the factor 1000 used to convert between W and mW:
% n5 w4 V2 A3 a" e, d. m% E10Log10[1000] = 303 ?5 q, I+ K! C k2 Q" m; c
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Conversion Units
& g) j: L+ s& QdB = decibels (Log10)
5 y9 e0 b9 L/ g+ \- _u = micro = 10E-69 \6 Z! ~6 R; W4 y; b5 {5 D7 _
m = milli = 10E-3
! Z) S: f# c: K" l K3 I( }dBw = decibels relative to one watt
6 N' w9 ]/ |5 D7 A# |- ldBm = decibels relative to one milliwatt
: H- R) C- ^, s; C; C& X [dBV = decibels relative to one volt
' e, ]6 Q8 q0 E6 t" x& BdBuV = decibels relative to one microvolt
3 x; a" D8 \3 ydBuA = decibels relative to one microamp
( G ]6 v$ f5 ?& B5 RV = Volts
& i0 d3 [7 P; t6 aA = Amps- ], V8 t7 p. _) i+ p# w9 x
I = Current
& j; [1 i1 E2 KR = Ohms (50); N- d& X% V/ @6 h/ o3 X
W = Watts2 g( _3 _. e# S( \2 N
P = Power: [# _+ E8 D. n' k5 m. F8 w
M = Meter |
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