Characterization of indoor time reversal UWB communication systems: Spatial, temporal and frequency properties

Abstract

Abstract In this paper, an indoor UWB communications system that applies time reversal (TR) for transmitting the desired signal is proposed. First we define equivalent channel model of TR‐UWB, which is the convolution of channel impulse response and its complex conjugate time‐reversed version. Then spatial, temporal and frequency characteristics of equivalent channel are analyzed and the analytical or semi‐analytical results are validated by comparing measurements with simulation. (Semi) analytical expression of equivalent channel transfer function, TR UWB power delay profile (PDP), focusing gain, spatial correlation and power azimuth spectrum (PAS) is performed. Also probability density function (PDF) of TR‐UWB amplitude and path‐gain is derived. Analysis and simulation results of different distributions, such as uniform, Laplacian and Gaussian for PAS, are considered and presented. It is shown that uniform and truncated Laplacian distributions are appropriate fits to the measurement results for power azimuth spectrum of TR‐UWB. It is seen that for distances greater than λ/2 from the authorized receiver, received signal decreases 10 dB, where λ is the wavelength of the central frequency. Finally, PDF of TR‐UWB path‐gain is described. Measurement results show that for small time windows, the densities of the path‐gain are highly non‐Gaussian. But for starting time of 10 T w or more, and window size of 2 T w or more the densities are nearly Gaussian, where T w is the transmitted pulse duration. Copyright © 2010 John Wiley & Sons, Ltd.