Propagation graph based model for polarized multiantenna wireless channels

Abstract

Simple and accurate channel models are required to evaluate the performance of multi-antenna systems with polarized antenna arrays. This paper presents a graph based model for polarized multi-antenna wireless channels by incorporating polarization diversity into the classical propagation graph based model. In addition to classical propagation effects such as attenuation, delay and phase shifts in non-polarized channel models, the proposed model incorporated antenna and scatterer based depolarization effects including polarization coupling and polarimetric responses. An illustration of the procedure for generating the transfer function and impulse response from the model is given for dual polarized channels. Simulation results show that the power delay profile exhibit exponential decay with almost equal decay rate across the co-and cross-polar channels. Our results also show that antenna orientation, relative antenna height and depolarization affect the power-delay properties of the channel.

Modelling Polarimetric Power Delay Spectrum for Indoor Wireless Channels via Propagation Graph Formalism

“…Details of the procedure for computing PDS from the PG can be found in [2]. We consider ideal dual polarized omnidirectional antenna with no antenna polarization coupling as in [2].…”

“…Details of the procedure for computing PDS from the PG can be found in [2]. We consider ideal dual polarized omnidirectional antenna with no antenna polarization coupling as in [2]. We therefore, represent the averaged transmit antenna response as G t = [1 0] T and the averaged receiver response as G r = [1 0] T and G r = [0 1] T for co-and cross-polar channels, respectively.…”

“…See [1] for details. In the generalization of PG based modelling to polarized channels [2] illustrated in Fig. 1, the depolarization effects is modelled via the polarimetric antenna responses, X t/r , in the direction of the edges and a unit norm 2 × 2 coupling matrix, M n .…”

“…The matrix, M n , accounts for power leakage between the polarization states due to interaction with a scatterer. These polarimetric effects are combined with other propagation mechanisms to model the edge transfer function and hence, the channel transfer function in [2]. A procedure for stochastically generating the polarimetric impulse response and hence, the PDS is presented and used for simulating polarimetric channels in [2].…”

“…Several applications of the graph based model have been studied in the literature. Recently, a generalization of the model to polarized channels was presented in [2]. The authors showed via simulations that the co-and cross-polar channels exhibit different decay rates for early arrivals.…”