Systems and methods for highly efficient bit error rate modeling in quasi-linear communication networks

The present invention provides systems and methods for highly efficient bit error rate (BER) modeling in quasi-linear communication networks. In the present invention, nonlinear noise is treated within a linearization approach along with the amplified spontaneous emission (ASE) noise, and the nonlinear noise is considered as another source of noise in addition to the ASE noise. This enables a quasi-analytical approach to the BER calculation. First, a covariance matrix is analytically computed. An equation is derived for a noise component of a signal and an implicit analytical solution is found depending on the signal and system parameters. Second, probability distribution functions (pdfs) are computed for the signal. An analytical calculation is performed of the characteristic function for the noise statistics. Next, a numerical computation of the Fourier transform of the characteristic function is performed to yield the pdf, and numerical integration is performed on the pdfs to yield the BER.