Spectral density of random time-hopping spread-spectrum UWB signals with uniform timing jitter

We derive the power spectral density of time-hopping (TB) spread-spectrum signals in the presence of random timing jitter, which is characterized typically by a discrete-time stationary process (independent of the TH sequences). Detailed descriptions of different TH schemes, employing a random TH sequence, is given and spectral analysis of such TH signals in the presence of uniform timing jitter is carried out using a systematic and tractable technique.