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I think I have missed something very fundamental.

I am trying to understand the step in DPA where you compare your hypothetical power consumptions with your measured ones. The Matrix H with Matrix T.

Matrix T is of size D x T, where D is the number of data blocks and T is the number of measured points in one power trace. This implies that an element value in this matrix T can be of 0.58W (just an example).

If I use Hamming Weight, as power model, I will end up with a real number. E.g., 0110 0111 = 5 (dimensionless). How can this number correlate with the power traces that are in Watts? (e.g., If I use Pearsons).

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    $\begingroup$ To hopefully attract more answers, would you mind adding / linking to an example paper / ressource of DPA so people can get started on reference hunting or whatever? $\endgroup$ – SEJPM Mar 16 '18 at 19:44
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You should use the value you found (in watt). Try to have a look at this file, it's really well explained in my opinion. If you look for page 21 for instance, you'll see that the plaintext produces a certain waveform; then, after the hypotesis and the S-Box output, the correlation is clearly done with the power model obtained and the value of the traces (page 23)

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