Based on the theory of wave digital filters (WDFs), new model is derived to represent matched filter for radar applications, derived from lumped/distributed ladder networks. This model contains lumped elements and commensurate transmission lines. This paper also introduced a real-time implementation of the proposed model. We will demonstrate that this approach can be implemented in real time, although with this prototype the frequencies are too low for practical radar applications. The real-time implementation is performed based on input/output data acquisition card using MATLAB, SIMULINK toolbox, Real-Time Workshop (RTW) toolbox and Real-Time Windows target (RTWT) toolbox. In addition, real-time windows target requires the Watcom C/C++ compiler.