Shift a curve in logarithmic scale

Hi,

I have two datasets, dataset 1 is the result of experiment (a peak) and the dataset 2 is the result of simulation (a peak). Normally, both datasets should be plotted in the same figure in logarithmic scale and then, to shift the dataset 2 towards dataset 1 and to find the best vertical translation.

The point is that the amount of shift in logarithmic scale is not a constant value for each point (in the contrary to linear scale) and it depends on the Y values of the data (bigger Y value, bigger shift).

I have tried to write a code to do it automatically but it didn't work and I don't know how to code it!

Tnanks in advance for any help and any idea.

Answer 1

[J. Alex Lee]

shifting in log scale is actually a multiplication, not an addition - is that what you need?

[Mehrdad RAHIMI]

Thanks for reply, could you please provide more information about what you said? I know a way to code it but I could say it's not a simple code with few lines; actually, what I am looking for is that if there is a function or a trick with few lines of code that does this operation.

If your idea works simpler, I will use it to make to code simpler.

[Torsten]

@Mehrdad RAHIMI

Multiply one of the data sets by a constant factor a ( e.g. multiply data1 by a = data2(1)/data1(1) ) and see what happens.

Note that multiplication results in a shift in logarithmic scale:

log10(a*data) = log10(a) + log10(data)

[J. Alex Lee]

An equation is worth a hundred words :)