Analysis of Offset Pulse Position Modulation

This work presents the performance analysis of the offset pulse position modulation (PPM) scheme using graded-index plastic optical fibre with a Gaussian impulse response. The aim of this analysis is to predict how sensitivity, error, number of required photons, threshold voltage, and the effect of inter-symbol interference will change with the change in the number of data bits encoded at a rate of 1 Gbit/s. An information theory analysis is presented in detail and also the band-utilization efficiency is determined. Results are compared to equivalent digital PPM and multiple PPM schemes and it is also shown that offset PPM gives an advantage over on-off keying (OOK).
Bit error rate (BER) analysis has been presented numerically. The errors due to different coding techniques are compared. It has also been shown that offset pulse position modulation is more power efficient than multiple pulse position modulation. The spectral analysis of offset pulse position modulation coding scheme has been carried out. For an offset PPM sequence the spectral characteristics is presented both theoretically and numerically. The results show strong frequency components at the frame rate and, if return-to-zero pulses are used, the slot rate. Slot synchronisation has been taken into consideration for the first time as offset PPM spectrum exhibits discrete slot rate component. The effect of pulse shaping and modulating index on the spectrum has been shown. The dependency of slot component on the pulse shape is examined. The results show that the frame synchronisation is possible for offset PPM as this coding exhibits a strong frame rate component. A comparison of spectral characteristics has been presented considering digital, multiple and shortened PPM. For ease of implementation an offset PPM coder has been designed. In this work an efficient clock recovery topology is presented for offset PPM data sequence at the receiver end. For clock recovery, a phase locked loop is designed. Data recovery has also been presented. It is shown that a frame clock can be extracted from the data sequence that yields the possibility of frame synchronization. A detailed noise analysis has been performed for random offset PPM input.
It has been shown that the proposed clock recovery system is also effective for extracting other data sequence. To elucidate, a multiple Pulse Position Modulation (MPPM) data sequence is considered. The MPPM data sequence has also been synchronised with the recovered clock. A noise analysis is carried out for multiple PPM.