Perfect modeling and simulation of measured spatio-temporal wireless channels

Various types of spatial channel sounders have been developed with the aim to measure and to investigate the propagation characteristics of spatio-temporal wideband mobile radio channels in typical macrocell, microcell, and picocell environments. After postprocessing the collected data, one usually presents the measured channel characteristics in the form of a so-called delay-Doppler power spectral density (PSD) and a delay-angle PSD. A problem is then to find an analytical channel model and/or a simulation model with the property that both the delay-Doppler PSD and the delay-angle PSD of the model approximate as close as possible the corresponding measured system functions. It will be shown in this paper that an exact and general solution to this problem always exists if the measured system functions are consistent. The proposed fundamental procedure is introduced as the perfect channel modeling approach.