Wiener-Hammerstein benchmark with process noise

The Wiener-Hammerstein structure is a well known block-oriented system. It contains a static nonlinearity that is sandwiched in between two LTI blocks (Figure 1). The presence of the two LTI blocks results in a problem that is harder to identify. The system is quite similar to the Wiener-Hammerstein system that is studied in an earlier benchmark [9, 10], the main difference is the presence of the process noise.