|M.Sc Student||Livshitz Betty|
|Subject||Optically Pre-amplified and Pre-filtered Detection with|
Electric Post-filtering - a Semi-analytic
Volterra Series Based Approach
|Department||Department of Electrical Engineering||Supervisors||Professor Emeritus Moshe Nazarathy|
|Professor Moshe Horowitz|
|Full Thesis text|
We present an alternative quasi-analytic model for an optically amplified receiver, comprising an optical pre-amplifier, an optical pre-filter, a photo-detector and an electrical post-filter. Due to the square-law non-linearity and its interaction with the linear pre- and post- filters, the understanding of this seemingly simple structure has been elusive, gradually evolving over a succession of studies, culminating in the models by Lee-and-Shim and Forestieri. Here we adopt a new approach to this old problem, applying Volterra non-linear theory to obtain fresh insight, deriving a simplified model streamlining the pseudo-analytic simulations.
Volterra series is a powerful mathematical tool for simulating non-linear systems. The method is applied here to quadratic optical detection in an unconventional way: by using an equivalent bilinear system, a mixed frequency-time formulation is derived, leading to representation of the output in a compact quadratic form.
Applications of the new method include: (i) Accurate determination of the bit-error rate of an amplitude shift keying (ASK) transmission system in the linear optical link propagation regime, including dispersion effects and fully accounting for inter-symbol interference. (ii) Simpler yet more general derivations of the second-order noisy signal statistics (autocorrelations and power spectral densities) at several points in the optically amplified receiver. (iii) Optimization of the electrical filter in order to maximize the signal-to-noise ratio at the sampler, for specified input signal and optical filter. The theory developed here is naturally extensible to advanced optical equalization techniques, involving Volterra non-linear opto-electronic equalizers.