Bounds on the Transmit Power of b-Modulated NFDM Systems in Anomalous Dispersion Fiber

Abstract

The performance of various nonlinear frequency division multiplexed (NFDM) fiber-optic transmission systems has been observed to decrease with increasing signal duration. For a class of NFDM systems known as b-modulators, we show that the nonlinear bandwidth, signal duration, and power are coupled when singularities in the nonlinear spectrum are avoided. When the nonlinear bandwidth is fixed, the coupling results in an upper bound on the transmit power that decreases with increasing signal duration. Signal-to-noise ratios are consequently expected to decrease, which can help explain drops in performance observed in practice. Furthermore, we show that there is often a finite bound on the transmit power of b-modulators even if spectral singularities are allowed.

Neural networks for computing the continuous nonlinear Fourier spectrum in focusing nonlinear Schrodinger equation: NFT-Net

“…If needed, we then can use both computed quantities to find the reflection coefficient (10). We note that within the b-modulation concept, which has turned out to be the most efficacious NFDM method developed so far, we utilise the b(ξ ) functions as information carriers [24][25][26][27] .…”

“…In our current study we specifically address the continuous NF spectrum: our goal is to compute the profile r(ξ ) given the localised q(t) shape. Then, we mention that the continuous NF spectrum modulation using the special technique coined b-modulation [24][25][26][27] has provided the highest NFDM data rates so far 12,28 . Thus, in this paper we also address the recovery of the b-coefficient, b(ξ ) ∈ C, ξ ∈ R, given q(t).…”

Mitigating the Impact of Noise on Nonlinear Frequency Division Multiplexing

“…Unfortunately, the power of the signal is severely limited when using b-modulation, since |b(λ)| < 1 must hold for any λ ∈ R [17,31]. Theoretical bounds on the power in b-modulated systems (and for continuous spectrum modulation in the normal dispersion regime) have been recently given [34].…”

Shortening Solitons for Fiber-Optic Transmission

“…At higher powers, solitons carry most of the energy and the dispersive part plays a minor role [10]- [12]. On the other hand, it was found that the energy contained in a directly modulated dispersive part can be bounded [13].…”