Transfer matrix analysis for angle-modulated WDM systems with and without dispersion compensation

A transfer matrix analysis is described for the performance evaluation of an N-channel angle modulated wavelength division multiplexed (WDM) system. The theoretical model describes the spectral domain evolution of the individual channels taking into account the group velocity dispersion induced self-phase modulation, cross-phase modulation and amplified spontaneous emission noise in the fibre channel. The present theory has been utilised for the performance evaluation of a four-channel WDM continuous phase frequency-shift keying transmission system with and without dispersion equalisation. The theoretical results have been found to match very well with the reported experimental results. Numerical simulations are also carried out to validate the accuracy of the theoretical results.