Shannon capacity of nonlinear communication channels

Doctoral thesis English OPEN
Sorokina, Mariia
  • Subject:
    acm: ComputingMethodologies_SIMULATIONANDMODELING
    arxiv: Computer Science::Information Theory | Mathematics::Probability | Quantitative Biology::Cell Behavior
    mesheuropmc: fungi

The exponentially increasing demand on operational data rate has been met with technological advances in telecommunication systems such as advanced multilevel and multidimensional modulation formats, fast signal processing, and research into new different media for signal transmission. Since the current communication channels are essentially nonlinear, estimation of the Shannon capacity for modern nonlinear communication channels is required. This PhD research project has targeted the study of the capacity limits of different nonlinear communication channels with a view to enable a significant enhancement in the data rate of the currently deployed fiber networks. In the current study, a theoretical framework for calculating the Shannon capacity of nonlinear regenerative channels has been developed and illustrated on the example of the proposed here regenerative Fourier transform (RFT). Moreover, the maximum gain in Shannon capacity due to regeneration (that is, the Shannon capacity of a system with ideal regenerators – the upper bound on capacity for all regenerative schemes) is calculated analytically. Thus, we derived a regenerative limit to which the capacity of any regenerative system can be compared, as analogue of the seminal linear Shannon limit. A general optimization scheme (regenerative mapping) has been introduced and demonstrated on systems with different regenerative elements: phase sensitive amplifiers and the proposed here multilevel regenerative schemes: the regenerative Fourier transform and the coupled nonlinear loop mirror.
  • References (124)
    124 references, page 1 of 13

    130 133 2.1 Basic components of a communication system . . . . . . . . . . . . . 18 2.2 Basic components of a communication system (expanded version) . . 19 2.3 Basic modulation formats . . . . . . . . . . . . . . . . . . . . . . . 19 2.4 The entropy of the binary case . . . . . . . . . . . . . . . . . . . . . 23 2.5 Cutoff rate (for equiprobable q-ASK) and capacity . . . . . . . . . . 30 3.1 Dependence of the Shannon capacity of the linear AWGN channel on channel bandwidth . . . . . . . . . . . . . . . . . . . . . . . . . . . 37

    1. M. A. Sorokina and S. K. Turitsyn, "Regeneration limit of classical Shannon capacity," Nat. Comm. 5 (2014). (ch. 5).

    2. M. A. Sorokina, "Design of multilevel amplitude regenerative system," Opt. Letters 39, 2499-2502 (2014) (ch. 6).

    3. M. Sorokina, S. Sygletos, A. D. Ellis, and S. Turitsyn, "Optimal packing for cascaded regenerative transmission based on phase sensitive amplifiers," Opt. Express 21, 31201-31211 (2013) (ch. 6).

    4. M. A. Sorokina, S. Sygletos, and S. K. Turitsyn, "Optimization of cascaded regenerative links based on phase sensitive amplifiers", Opt. Letters 38, 4378- 4381 (2013) (ch. 6).

    5. A.D. Ellis, M. Sorokina, S. Sygletos, S.K. Turitsyn, "Capacity in nonlinear fiber transmission systems", ACP2013 (invited) (ch. 5).

    6. M. Sorokina, and S. Turitsyn, "Design of nonlinear regenerative systems with high capacity", ICTON2013 (invited) (ch. 5).

    7. M. A. Sorokina and S. K. Turitsyn, "Nonlinear signal transformations: Path to capacity above linear channels," 2014 IEEE Summer Topical Meeting on Nonlinear-Optical Signal Processing (invited) (ch. 5).

    8. M. A. Sorokina and S. K. Turitsyn, "Efficiency of different regenerative channels," ICTON 2014 (invited) (ch. 6).

    9. M. Sorokina, S. Sygletos, and S. Turitsyn, "Optimization method for PSA-based multi-level regenerators", ECOC 2013 (P.4.7) (ch. 6).

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