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Accurate Calculation of Eye Diagrams and Bit Error Rates in Optical Transmission Systems Using
| Content Provider | CiteSeerX |
|---|---|
| Author | Holzlöhner, Ronald Grigoryan, V. S. Menyuk, C. R. Kath, W. L. |
| Abstract | Abstract—We present a novel linearization method to calculate accurate eye diagrams and bit error rates (BERs) for arbitrary optical transmission systems and apply it to a dispersion-managed soliton (DMS) system. In this approach, we calculate the full nonlinear evolution using Monte Carlo methods. However, we analyze the data at the receiver assuming that the nonlinear interaction of the noise with itself in an appropriate basis set is negligible during transmission. Noise–noise beating due to the quadratic nonlinearity in the receiver is kept. We apply this approach to a highly nonlinear DMS system, which is a stringent test of our approach. In this case, we cannot simply use a Fourier basis to linearize, but we must first separate the phase and timing jitters. Once that is done, the remaining Fourier amplitudes of the noise obey a multivariate Gaussian distribution, the timing jitter is Gaussian distributed, and the phase jitter obeys a Jacobi- distri-bution, which is the periodic analogue of a Gaussian distribution. We have carefully validated the linearization assumption through extensive Monte Carlo simulations. Once the effect of timing jitter is restored at the receiver, we calculate complete eye diagrams and the probability density functions for the marks and spaces. This new method is far more accurate than the currently accepted approach of simply fitting Gaussian curves to the distributions of the marks and spaces. In addition, we present a deterministic solution alternative to the Monte Carlo method. Index Terms—Amplifier noise, error analysis, Karhunen–Loève transforms, linear approximation, Monte Carlo methods, nonlin-earities, optical fiber dispersion, optical fiber theory, simulation. |
| File Format | |
| Access Restriction | Open |
| Subject Keyword | Accurate Calculation Bit Error Eye Diagram Timing Jitter Optical Transmission System Using Full Nonlinear Evolution New Method Bit Error Rate Accurate Eye Diagram Dispersion-managed Soliton Quadratic Nonlinearity Gaussian Distribution Linearization Assumption Stringent Test Novel Linearization Method Probability Density Function Arbitrary Optical Transmission System Deterministic Solution Alternative Extensive Monte Carlo Simulation Noise Noise Multivariate Gaussian Distribution Linear Approximation Periodic Analogue Complete Eye Diagram Karhunen Lo Ve Transforms Error Analysis Fourier Amplitude Nonlinear Interaction Index Term Amplifier Noise Nonlinear Dm System Phase Jitter Jacobi Distri-bution Fourier Basis Optical Fiber Dispersion Appropriate Basis Set Gaussian Curve Optical Fiber Theory |
| Content Type | Text |