Wireless chip area networks (WCAN) signify a new development in wireless communications, where wireless interconnections among different cores within a chip (intrachip) or among different chips within a module (inter-chip) can be realized. In this paper, we analyze bit-error rate (BER) of an ultra-wideband (UWB) radio with binary phase-shift keying (BPSK) modulation over an inter-chip wireless radio channel. Specifically, a novel technique of dynamically shifting an integral window is proposed to reduce the effects of inter-symbol interference (ISI). BER expressions are analytically derived and verified by Monte Carlo simulations. Furthermore, by including both thermal and switching noise as the dominant noise sources, it is found that a BER less than 10-6 is feasible for a link distance up to 252 mm at a data rate of up to 650 Mbps. Besides, the link margin analysis shows that a link margin of 28.22 dB could be obtained for the same distance and data rate.