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Decibel Calculator

Professional logarithmic operations for RF power summation, subtraction, and linear conversions.

power addition

combining power from multiple sources (incoherent addition). result = 10 × log₁₀(Σ 10^(dbi/10))

incoherent summation

source alpha (db)

dbm/dbi

primary signal power level

source bravo (db)

dbm/dbi

secondary signal power level

standardized summation cases

power subtraction

arithmetic difference between logarithmic levels. result = db₁ - db₂

arithmetic logic

minuend (db)

initial power level or output

subtrahend (db)

loss, attenuation, or input level

arithmetic presets

linear → db

db = 10 × log₁₀(linear)

linear power ratio

db → linear

linear = 10^(db/10)

decibel value (db)

logarithmic scalars

standard power ratios (db ⇄ linear)

magnitude

ratio

description

-20 db

0.01

1% power

-10 db

0.1

10% power

-3 db

0.5

half power

0 db

unity base

+3 db

double power

+10 db

10x magnitude

+20 db

100

100x magnitude

+30 db

1000

1000x magnitude

summation cases

incoherent addition behaviors

delta

combined

log logic

30/30

33.0 db

equidistant (+3.0)

30/27

31.8 db

3db gap (+1.8)

30/24

31.0 db

6db gap (+1.0)

30/20

30.4 db

10db gap (+0.4)

30/10

30.0 db

20db gap (~0.0)

40/37

41.8 db

shifted base (+1.8)

50/50

53.0 db

high base (+3.0)

engineering heuristic

signals with >20 db difference are mathematically negligible. the stronger signal defines the system output with <0.1 db error.

Decibel Calculator

Professional logarithmic operations for RF power summation, subtraction, and linear conversions.

power addition

combining power from multiple sources (incoherent addition). result = 10 × log₁₀(Σ 10^(dbi/10))

incoherent summation

source alpha (db)

dbm/dbi

primary signal power level

source bravo (db)

dbm/dbi

secondary signal power level

standardized summation cases

power subtraction

arithmetic difference between logarithmic levels. result = db₁ - db₂

arithmetic logic

minuend (db)

initial power level or output

subtrahend (db)

loss, attenuation, or input level

arithmetic presets

linear → db

db = 10 × log₁₀(linear)

linear power ratio

db → linear

linear = 10^(db/10)

decibel value (db)

logarithmic scalars

standard power ratios (db ⇄ linear)

magnitude

ratio

description

-20 db

0.01

1% power

-10 db

0.1

10% power

-3 db

0.5

half power

0 db

unity base

+3 db

double power

+10 db

10x magnitude

+20 db

100

100x magnitude

+30 db

1000

1000x magnitude

summation cases

incoherent addition behaviors

delta

combined

log logic

30/30

33.0 db

equidistant (+3.0)

30/27

31.8 db

3db gap (+1.8)

30/24

31.0 db

6db gap (+1.0)

30/20

30.4 db

10db gap (+0.4)

30/10

30.0 db

20db gap (~0.0)

40/37

41.8 db

shifted base (+1.8)

50/50

53.0 db

high base (+3.0)

engineering heuristic

signals with >20 db difference are mathematically negligible. the stronger signal defines the system output with <0.1 db error.

Decibel Calculator

power addition

combining power from multiple sources (incoherent addition). result = 10 × log₁₀(Σ 10^(dbi/10))

power subtraction

arithmetic difference between logarithmic levels. result = db₁ - db₂

linear → db

db = 10 × log₁₀(linear)

db → linear

linear = 10^(db/10)

logarithmic scalars

standard power ratios (db ⇄ linear)

summation cases

incoherent addition behaviors

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Decibel Calculator

power addition

combining power from multiple sources (incoherent addition). result = 10 × log₁₀(Σ 10^(dbi/10))

power subtraction

arithmetic difference between logarithmic levels. result = db₁ - db₂

linear → db

db = 10 × log₁₀(linear)

db → linear

linear = 10^(db/10)

logarithmic scalars

standard power ratios (db ⇄ linear)

summation cases

incoherent addition behaviors

Related Technical Articles & Tools

Free Space Path Loss Calculator

dBm to Watt Converter

VSWR Calculator

Thermal Noise Calculator

LTE Random Access Procedure (RACH): Msg1 to Msg4 Explained