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This paper presents two novel finite-difference time-domain (FDTD) based methods for UWB propagation modelling. For the dispersive FDTD model, Debye material is considered and the frequency dependent material information is discretely converted into time domain by using differential equation-based algorithm; for the sub-band FDTD model, the whole ultra wideband (3.1-10.6 GHz) is divided into 11 subbands with 700 MHz bandwidth and each sub-band is simulated separately using measured frequency-dependent material properties. Both the dispersive FDTD and the sub-band FDTD methods are verified by comparing reflection coefficients obtained from one-dimensional (1-D) simulation and analytical equations. The results from two-dimensional (2-D) dispersive FDTD, subband FDTD and UWB ray tracing simulations are obtained and discussed.