I have a double Gaussian shaped waveform
`eta = H1 exp(-C1(x-X1)^2)-H2 exp(-C2(x-X2)^2`
where x is given and H1, H2, C1, C2, X1, X2 are the parameters. The parameters are known. I want to produce a second waveform using eta called eta_b.
Eta_b is described by the same mathematical expression where max(eta) = eta(k) and max(eta_b) = eta_b(k) and eta(k) = eta_b(k) and as max(eta_b) and eta(1), eta(2),...,eta(k) = eta_b(1), eta_b(2),...,eta_b(k). The waveform from eta_b(k),eta_b(k+1),...,eta_b(n) should be > eta(k), eta(k+1),...,eta(n).
Here is the actual output of eta:
I want to maintain the eta(max), eta(min), their position and wavefront steepness but the back part should be wider.
How can I find the parameters H1, H2, C1, C2, X1, X2 for eta_b?
Thanks for helping me out!