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Passive network localization via wireless sensor radars (WSRs) is rising interest for applications in civilian, commercial, and military sectors. A clear understanding on how impairments and system parameters affect detection and localization accuracy is fundamental for the WSR network design. We introduce a mathematical framework for the analysis of WSR network which allows to consider different scenarios, network topologies, and system configurations. We focus on the effects of ultra-wide bandwidth (UWB) time-of-arrival estimation on the localization accuracy. We present results for a case study of UWB monostatic radars network with application in logistics.