Wiener-Hammerstein Process Noise System

The Wiener-Hammerstein system is a well-known block-oriented structure. It contains a static nonlinearity that is sandwiched in between two linear time-invariant (LTI) blocks. The presence of the two LTI blocks results in a problem that is harder to identify.

The Wiener-Hammerstein system proposed as a benchmark contains dominant process noise. The process noise enters the system before the static nonlinearity. Two much less significant noise sources are present in the measurement channels of the input and output.

A detailed formulation of the identification problem can be found here. All the provided files, data and information on the Wiener-Hammerstein system are available for download here. This zip-file contains a detailed system description with a signal generation guide, an example estimation data set, the test data sets, the datasets measured during the past measurement campaign(s), pictures of the measurement setup, and an indicative electrical circuit schematic of the system. It is possible that the actual implemented Wiener-Hammerstein system deviates at some points (resistor values, opamp type) from the electrical circuit provided here. The data is available in the .csv and .mat file format.

Previously published results on the Wiener-Hammerstein process noise benchmark are listed here.

A Wiener-Hammerstein system with process noise: the red blocks represent linear time-invariant dynamics, while the blue block respresents a static nonlinearity.


Please refer to the Wiener-Hammerstein benchmark as:

M. Schoukens and J.P. Noël, Three Benchmarks Addressing Open Challenges in Nonlinear System Identification, 20th World Congress of the International Federation of Automatic Control, pp.448-453, Toulouse, France, July 9-14, 2017, doi: 10.1016/j.ifacol.2017.08.071.

M. Schoukens and J.P. Noël, Wiener-Hammerstein benchmark with process noise, 4TU.ResearchData, Dataset, doi: 10.4121/12952124.