
Has anyone done any work, conversions, etc, with Acceleration, Velocity, Displacement (Length) in terms of decibels? dB, dBA, dBV, etc, and conversions to/from more "conventional" units like meters, meters per second, meters per second per second?
I am learning, for example, that it is possibly to integrate across the Time dimension in order to yield Velocity from Acceleration, or similarly, Displacement (Length) from Velocity.
I am doing a job with these type conversions going on across a spectrum analysis and would be interested in hooking up the calculations using boost::units to help enforce dimensional / unit integrity.
Decibels and all their variants are defined as logs of ratios and, therefore, must be dimensionless. What would be sensible is to define various helper functions that take a quantity and return a log ratio. Matthias