Space-frequency second-order statistics of the power gain of wideband indoor channels

Abstract

This paper presents closed-form expressions for the space-frequency (SF) second-order statistics for the power gain of indoor wideband channels. These expressions hold for channel models in which multi-path components are clustered, both in their arrival angles and their arrival times. Assuming that the arrival times are independent of the angles of arrival, we derive a closed-form expression for the covariance between the channel power gains at two receiving antenna positions d meters apart, at any pair of frequencies &#x03C9;<sub>1</sub> and &#x03C9;<sub>2</sub>. This expression reveals that increasing d yields the same SF covariance asymptotic reduction attainable by increasing |&#x03C9;<sub>1</sub> - &#x03C9;<sub>2</sub>|, only if |&#x03C9;<sub>1</sub> - &#x03C9;<sub>2</sub>|&#x2260;0, and that the covariance is symmetric in its dependence with &#x03C9;<sub>1</sub> - &#x03C9;<sub>2</sub> and with &#x03C9;<sub>1</sub> + &#x03C9;<sub>2</sub>. Thus, the channel power gain at higher frequency bands has less variation than at lower frequencies. Finally, we show that the variable part of the SF covariance decays approximately as 1/d.

DOI: 10.1109/WCNC.2014.6951918

Cite this paper

@article{Derpich2014SpacefrequencySS, title={Space-frequency second-order statistics of the power gain of wideband indoor channels}, author={Milan S. Derpich and Rodolfo Feick}, journal={2014 IEEE Wireless Communications and Networking Conference (WCNC)}, year={2014}, pages={34-39} }