Square Root Extraction is a mathematical process which is applied to a linear measurement scale to convert it to a non-linear square root scale.
The square root scale is generated by taking the square root of the ratio between measurement reading and full span.
Over a fixed measurement range with a square root extraction applied, the square root measurement will rise faster than the linear measurement at first, and then steadily slow down as measurement readings approach 100% full scale.
For example the flow of a gas or liquid through a closed pipe is proportional to the square root of the differential pressure. Therefore you can use a differential pressure sensor to measure flow by applying a square root extraction to the linear output.
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- Convert linear input to square root extraction output
- Convert square root extraction input to linear output
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