This thesis is missing pages xiii, xiv and xv. None of which are in other copies of the thesis. -Digitization Centre / Solitons and soliton systems have introduced many interests in the applications of signal processing and communication systems due to their special properties. To facilitate the various applications, a digital soliton system is designed to overcome the inherent drawbacks of traditional analog soliton systems in this thesis. Wave digital theory is employed to design a digital model of the nonlinear Toda lattice circuit. The designed model is implemented in Simulink, and numerical results of the simulation verifies the important properties of the digital model and show it to be a good digital soliton system simulator. Moreover, an example of a soliton communication system is provided to demonstrate the digital soliton system simulator can work as well in soliton communication systems, avoiding the inherent problems of analog implementations. In addition, the digital Toda lattice circuit modelled in Simulink can be customized to run in DSP and FPGA. Such hardware co-processing will highly improve the speed of the simulation processes. / Thesis / Master of Applied Science (MASc)