scholarly journals Numerical Verification of an Analytical Model for Phase Noise in MEMS Oscillators

Author(s):  
D. K. Agrawal ◽  
F. Bizzarri ◽  
A. Brambilla ◽  
A. A. Seshia

spatial division multiplexing (SDM) system has been considered as promising systems due to its ability to transport a higher bit rate for longer transmission distance. However, nonlinear phase noise (NPN (degrades SDM system performance. In this paper, we propose return-to-zero (RZ)-coded phase-conjugated twin waves (PCTWs) to improve the effectiveness of nonlinear distortion cancellation in the SDM system. In this approach, the PCTWs are modulated by m-array quadrature amplitude modulation (mQAM) then RZ encoded. After that, RZ-mQAM PCTWs are co-propagated over two fibres links. The received signals are superimposed to suppress the NPN. An analytical model that characterizes the performance of spatial-multiplexed (SM) RZ-coded PCTWs scheme is developed. Moreover, we numerically investigate the system performance with 4QAM format at 20Gsymbol/s rate. The results display that the performance is substantially better for the proposed scheme. Transmission reaches of both 4QAM PCTWs and RZ-4QAM PCTWs schemes are extended by 77.8% and 100%, respectively, in contrast with the 4QAM scheme.


In this paper, an analytical model is developed to estimate a nonlinear phase noise (NPN) due to Kerr fiber nonlinearity and its interaction with amplifier noise in mode division multiplexing (MDM) systems. Our analysis uses generalized coupled multimode nonlinear Schrödinger equations (MM- NLSE) that describe the propagation of the mode superimposing in the optical fiber. The nonlinear phase noise versus channel power and transmission distance is evaluated by implementing our analytical model for LP01, LP11a, and LP11b spatial modes. Each mode carries a 4-QAM signal at a symbol rate of 20 Gsymbol/s. The results reveal that LP11 mode has a lower phase noise variance than LP01 mode over entire transmission distances. Finally, the error vector magnitude (EVM) versus channel power is quantified using an analytical model.


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