Abstract
We study quasi-spatially periodic signals (QSPSs) as a class of input signals of interest, which maintain their shapes quasi-periodically (with a phase change and a time shift) during propagation in an optical fibre. Instead of the computationally expensive nonlinear Fourier transform (NFT), the property of quasi-periodic shape invariant could be used as an alternative for decoding at the receiver. In this paper, properties of QSPSs and the signal design problem are studied, including the trade-off between various system parameters.
Highlights
In the ever increasing demand for data traffic, which grows at a pace of 60% per year[1], fibre optical communication plays a significant role in modern information technological infrastructure
We obtain the relation between the minimum period of a quasi-spatially periodic signals (QSPSs) and its spectrum
We study a class of signals, which have the quasi-spatially periodic property
Summary
In the ever increasing demand for data traffic, which grows at a pace of 60% per year[1], fibre optical communication plays a significant role in modern information technological infrastructure. A signal q(t, z) propagated in an optical fibre is called a QSPS with period p > 0 if for any z0 ∈ , there exist real numbers t0 and φ such that q(t, z0 + p) = q(t − t0(z0), z0)e jφ(z0), ∀ t ∈ . A signal q(t, z) propagated in an optical fibre is a QSPS with a period p > 0 if and only if there exist real numbers t0 and φ, such that q(t, z0 + p) = q(t − t0, z0)e jφ, (13)
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