Vertical localization with lnP set up

Dear GSI experts,

I am trying to switch from positive values for s_ens_v to the use of negative values. 

The document only mention that negative value is for lnP. So I wonder what this means in details.

My understanding is that based on ln(P/P0)=-Z/H, this lnP should be corresponding to scale height.

Such as, if I set this value to be -1; P would be 370 hPa; that corresponds to 1 scale height correlation length on the vertical.

If I set this value to be -0.5; P would be ~605 hPa; that means the vertical correlation length is about half scale height.

On the other hand, if I set this value to be -2, P would be ~130 hPa; that means the vertical correlation length will be 2 scale heights.

Can anyone clarify if my understanding is correct or not?

Thanks,

Minghua