1. A method for modeling a non-linear system with memory, comprising: obtaining physical data for said non-linear system with memory by applying a set of input samples x(n) to said non-linear system and measuring an output y(n) of said non-linear system; directly computing parameters Φ of a memory model for said non-linear system from said physical data, wherein said memory model comprises one or more look-up tables having linear interpolation and wherein said parameters Φ produce a substantially minimum mean square error; and providing said parameters Φ for storage as entries in said one or more look-up tables.