Capacity lower bounds of the noncentral Chi-channel with applications to soliton amplitude modulation

Autor: Shevchenko, N.A., Derevyanko, S.A., Prilepsky, J.E., Alvarado, A., Bayvel, P., Turitsyn, S.K.
Přispěvatelé: Signal Processing Systems, Information and Communication Theory Lab, Center for Wireless Technology Eindhoven
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: IEEE Transactions on Communications, 66(7), 2978-2993. Institute of Electrical and Electronics Engineers
ISSN: 0090-6778
Popis: The channel law for amplitude-modulated solitons transmitted through a nonlinear optical fiber with ideal distributed amplification and a receiver based on the nonlinear Fourier transform is a noncentral chi-distribution with 2n degrees of freedom, where n=2 and n=3 correspond to the single- and dual-polarisation cases, respectively. In this paper, we study the capacity lower bounds of this channel under an average power constraint in bits per channel use. We develop an asymptotic semi-analytic approximation for a capacity lower bound for arbitrary n and a Rayleigh input distribution. It is shown that this lower bound grows logarithmically with signal-to-noise ratio (SNR), independently of the value of n. Numerical results for other continuous input distributions are also provided. A half-Gaussian input distribution is shown to give larger rates than a Rayleigh input distribution for n=1,2,3. At an SNR of 25 dB, the best lower bounds we developed are approximately 3.68 bit per channel use. The practically relevant case of amplitude shift-keying (ASK) constellations is also numerically analyzed. For the same SNR of 25 dB, a 16-ASK constellation yields a rate of approximately 3.45 bit per channel use.
Databáze: OpenAIRE