Notes/Semester/SoSe 25/Mobilfunk/Conversion Table.md

title	timestamp	tags
Conversion Table - Note	15.08.2025 - 16:59	Note

Conversion Table

[!info] Logarithmic Conversion Definition of Bell: $1B = \log_{10}\frac{P_1}{P_2}$ Therefor a Dezibell: P_{dB} = 10\cdot\log_{10}\frac{P_1}{P_2} \longleftrightarrow \frac{P_1}{P_2} = 10^\frac{P_{dB}}{10}

Value Conversion according to:

P_{dB} = 10 \cdot \log_{10} x

Value	DB	Note
2	3
4	6
5	7
10	10
0.2	-7	\frac{1}{5}
0.5	-3	\frac{1}{2}

Dezibel Units

[!info] dBm & $dBW$ decibel millitwatt measurement of Power level $P_{dBm}$ Ratio for Power P compared to 1mW

P_{dBm}=10\cdot\log_{10}\frac{P}{1mW}dBm

decibel Watt similar but for the reference 1W

P_{dBW}=10\cdot\log_{10}\frac{P}{1W}dBW

[!warning] Conversion

P_{dBm}= P_{dBW} -30

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Cell Parameter Configurationen

[!info] SIR - Signal to Interference Ratio

SIR = \frac{1}{6} (3k)^{\frac{\gamma}{2}}

Cluster Size k:

k = \frac{1}{3}(\frac{D}{R})^2

with D:

D = R \cdot \sqrt{3k}

Testing k is done by:

k = i^2 + ij + j^2; \quad i,j\in\mathbb{N}