Decibel-to-Ratio Conversion
The decibel is a logarithmic unit used to express the ratio of two values of a physical quantity.
Decibel gain is proportional to the logarithm of the ratio of quantities.
Formula
![QuantityVariable["G", "LogarithmicQuantity"] == Log[QuantityVariable[Subscript["Q", "1"]/Subscript["Q", "2"], "Unitless"]]*Quantity[20/Log[10], IndependentUnit["decibels"]]](https://www.wolframcloud.com/objects/resourcesystem/marketplacestorage/resources/7ee/7eed4c37-e4f0-47ab-b6b9-15bb2f32cd94/Webpage/FormulaImage.png "Copy to Clipboard")
| symbol | description | physical quantity |
|---|---|---|
| G | decibel gain | "LogarithmicQuantity" |
| Q1/Q2 | ratio of quantities | "Unitless" |
Forms
Examples
Get the resource:
| In[1]:= | ![ResourceObject["Decibel-to-Ratio Conversion"]](images/7ee/7eed4c37-e4f0-47ab-b6b9-15bb2f32cd94-io-1-i.en.gif){kind=small} |
| Out[1]= |  |
Get the formula:
| In[2]:= | ![FormulaData[ResourceObject["Decibel-to-Ratio Conversion"]]](images/7ee/7eed4c37-e4f0-47ab-b6b9-15bb2f32cd94-io-2-i.en.gif){kind=small} |
| Out[2]= |  |
Use some values:
| In[3]:= | ![FormulaData[ResourceObject["Decibel-to-Ratio Conversion"], {}]](images/7ee/7eed4c37-e4f0-47ab-b6b9-15bb2f32cd94-io-3-i.en.gif){kind=small} |
| Out[3]= |  |