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The effect of carrier noise on mode-locked hybrid soliton pulse source (HSPS) utilizing linearly chirped Gaussian apodized fiber Bragg grating is described. The model is based on a time domain solution of coupled-mode equations. Relative intensity noise (RIN) is calculated using numerical solution of these equations. It is found that carrier noise affects the operation of device and therefore transform limited pulses are not obtained over a wide frequency range although these pulses are generated over a wide frequency range without noise.