Figure 2. Nonlinear transformation for analytic MaxEnt.
In the special case that MaxEnt is used to compute the n-element spectrum from an n-element FID, the MaxEnt spectrum is equivalent to applying a monotonic nonlinear transformation to the DFT of the FID. The nonlinear transformation (A) depends on the value of λ ; in the limit of large λ (the constraint weighted more heavily than the entropy), the transformation becomes nearly linear. For small λ, the transformation scales down small amplitude signals more than large amplitude signals (B).