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The effect of nonlinear interaction between amplified spontaneous emission noise and dispersive optical fiber material has been investigated analytically. A transfer matrix formulation is used to solve the nonlinear propagation equation. A continuous-wave (CW) format of the input optical signal isolates the effect of nonlinear noise amplification from the signal self-phase modulation. The impact of noise amplification in the performance of an intensity-modulation-direct-detection (IM-DD) system is also evaluated.