Discrete-time models are very convenient to simulate a nonlinear system on a computer. In order to build the fast recursive discrete-time simulation models for the nonlinear feedback systems, one step delay can be introduced to avoid solving at each time step a nonlinear algebraic loop. In this paper, a measurement methodology is proposed to quantify the output error of such class of models. An experimental study based on the proposed measurement methodology is performed in order to validate qualitatively the theoretical error bounds for such kind of approximated linear discrete-time models with forced delay under band-limited assumptions.