Ratios and Log Data

From: Howard Shapiro (hms@shapirolab.com)
Date: Mon Feb 09 1998 - 19:11:01 EST


If you have two parameters, A and B, on a log scale, log (A/B) = log A - log
B.  Thus, you can generate the log of the ratio by simple subtraction.

Generally speaking, you want to include some factor K to keep the data on
scale, but, since log K(A/B) = log K + log A - log B, you
can accomplish this by adding a constant.

This works very nicely when you don't have enough resolution to go from log
to linear and back, and, if you aren't using at least
16-bit ADC's you probably don't have enough resolution.  

As Mario Roederer pointed out, you still need some calibrator for both the
numerator and the denominator parameter of the ratio.

-Howard


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