64 lines
1.3 KiB
Markdown
64 lines
1.3 KiB
Markdown
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---
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title: Conversion Table - Note
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timestamp: 15.08.2025 - 16:59
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tags:
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- Note
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---
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# Conversion Table
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>[!info] Logarithmic Conversion
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>Definition of Bell:
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>$1B = \log_{10}\frac{P_1}{P_2}$
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>Therefor a Dezibell:
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>$P_{dB} = 10\cdot\log_{10}\frac{P_1}{P_2} \longleftrightarrow \frac{P_1}{P_2} = 10^\frac{P_{dB}}{10}$
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Value Conversion according to:
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$$P_{dB} = 10 \cdot \log_{10} x$$
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| Value | DB | Note |
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| ----- | --- | ------------- |
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| 2 | 3 | |
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| 4 | 6 | |
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| 5 | 7 | |
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| 10 | 10 | |
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| 0.2 | -7 | $\frac{1}{5}$ |
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| 0.5 | -3 | $\frac{1}{2}$ |
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# Dezibel Units
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>[!info] $dBm$ & $dBW$
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>decibel millitwatt
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>measurement of Power level $P_{dBm}$
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>Ratio for Power $P$ compared to $1mW$
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>$$P_{dBm}=10\cdot\log_{10}\frac{P}{1mW}dBm$$
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>
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>decibel Watt
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>similar but for the reference $1W$
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>$$P_{dBW}=10\cdot\log_{10}\frac{P}{1W}dBW$$
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>[!warning] Conversion
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>$$P_{dBm}= P_{dBW} -30$$
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---
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# Cell Parameter Configurationen
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> [!info] SIR - Signal to Interference Ratio
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> $$SIR = \frac{1}{6} (3k)^{\frac{\gamma}{2}}$$
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> Cluster Size k:
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> $$k = \frac{1}{3}(\frac{D}{R})^2$$
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> with D:
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> $$D = R \cdot \sqrt{3k}$$
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> Testing k is done by:
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> $$k = i^2 + ij + j^2; \quad i,j\in\mathbb{N}$$
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