A test system is arranged for testing vehicle systems which comprise at least one sensor. The analog to digital converter comprises a sample and hold circuit, a controller, and a single, one-bit converter stage. The exact dimensioning of the iron poles is dependent inter alia on the dimensioning of the coils and other characteristics of the linear motor as a whole, and can be found and optimized by simulations. In this manner, an unfiltered offset can be added to the filtered output.