Bandwidth Scaling and Diversity Gain for Ranging and Positioning in Dense Multipath Channels

摘要

The Cramér-Rao lower bound on the ranging error variance is revisited to quantify the influence of dense multipath in indoor environments. Our analytical results yield novel insight on the scaling of the ranging and positioning accuracy as a function of bandwidth and number of diversity branches. It also yields insight on the detectability of the useful line-of-sight signal component. It is found that the Fisher information scales faster than quadratically in bandwidth but only linearly in the number of independent diversity branches. We investigate the entire bandwidth-range from the flat-fading narrowband case up to ultra-wideband.