UC San Diego

In this work, a general analysis is developed for the noncoherent detection of non-overlapping \ac}PPM} with correlated Gaussian interference, transmitted through a slowly fading two-path channel. Subject to a few general assumptions about the channel and the correlation time of the interference, it is shown that the pairwise error probabilities separate into three cases of interest. In Part I of this dissertation, closed-form solutions are derived for the first two cases, and for the third case under certain limiting conditions. In Part II, of the dissertation, general solutions for this third case are computed numerically by inverting a characteristic function, and are shown to agree with the solutions for the limiting cases in Part I. As a specific example, in Part III we investigate the performance of a novel modulation scheme employing \acp}ULP}, modulated with \ acf}PPM} for $M$-ary data transmission in conjunction with asynchronous time-spread \ac}CDMA}, transmitted through a \ac}SMF} channel with \ac}PMD}. Considering the first- order effect of the \ac}PMD}, the throughput and capacity degradation are derived in terms of physical system parameters