Elementary, My dear Watson

MAIN PRINCIPLE OF DECIBELS

{ Ratio }_{ [dB-reference] }=10\cdot \log _{ 10 }{ \left( \frac { { Value }_{ [base] } }{ Reference_{ [base] } } \right) }

{ Ratio }_{ [dB-reference] }=10\cdot \log _{ 10 }{ \left( \frac { { Value }_{ [base] } }{ Reference_{ [base] } } \right) }

dBi

dBm

dBc

{ Ratio }_{ [dBm] }=10\cdot \log _{ 10 }{ \left( \frac { { Value }_{ [mW] } }{ 1_{ [mW] } } \right) }

{ Ratio }_{ [dBm] }=10\cdot \log _{ 10 }{ \left( \frac { { Value }_{ [mW] } }{ 1_{ [mW] } } \right) }

{ Ratio }_{ [dBc] }=10\cdot \log _{ 10 }{ \left( \frac { frequency\_ component\_ power }{ Carrier\_ power } \right) }

{ Ratio }_{ [dBc] }=10\cdot \log _{ 10 }{ \left( \frac { frequency\_ component\_ power }{ Carrier\_ power } \right) }

{ Ratio }_{ [dBi] }=10\cdot \log _{ 10 }{ \left( \frac { Gain }{ Gain-isotropic\_ antenna } \right) }

{ Ratio }_{ [dBi] }=10\cdot \log _{ 10 }{ \left( \frac { Gain }{ Gain-isotropic\_ antenna } \right) }

A\cdot B\Longleftrightarrow \log _{ x }{ \left( A \right) + } \log _{ x }{ \left( B \right) }

A\cdot B\Longleftrightarrow \log _{ x }{ \left( A \right) + } \log _{ x }{ \left( B \right) }

\frac { A }{ B } \Longleftrightarrow \log _{ x }{ \left( A \right) - } \log _{ x }{ \left( B \right) }

\frac { A }{ B } \Longleftrightarrow \log _{ x }{ \left( A \right) - } \log _{ x }{ \left( B \right) }

\log _{ x }{ \left( { A }^{ B } \right) =B\cdot } \log _{ x }{ \left( A \right) }

\log _{ x }{ \left( { A }^{ B } \right) =B\cdot } \log _{ x }{ \left( A \right) }

MULTIPLIERS