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In this paper, we derive analytical bit error rate (BER) performance of impulse radio using spread-spectrum technique under correlated random timing jitters. The result is applied to the bipolar pulse waveform and position modulation (BPWPM) to study its degradation in performance. High-order derivatives of the Gaussian pulse with about 500 ps pulse width are chosen to comply the FCC part 15 limit. The analysis concludes that both jitter root-mean square (RMS) value and correlation between jitters are important factors that influence system performance. When the jitters are highly correlated, different signal sets will have different levels of performance degradation even with the same jitter RMS value, which needs be taken into consideration in impulse radio system design.