---
title: Conversion Table - Note
timestamp: 15.08.2025 - 16:59
tags:
  - Note
---
![logo](logo.png)
# 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:
> $$k = i^2 + ij + j^2; \quad i,j\in\mathbb{N}$$