In this work, we investigate the SBS mitigation of the pseudo random bit sequences (PRBS) modulation analytically and numerically. The lightwave is phase modulated by a Butterworth lowpass filtered and amplified PRBS signal, and the SBS suppressing capability versus the parameters such as the filter order, the filter cutoff frequency, the modulation depth, and the pattern length are illustrated. Therefore, we redefine the modulation depth by normalized RMS voltage to integrate binary sequences modulation signal and multi-value sequences modulation signal. On this basis, we demonstrate the impact of pattern length, modulation depth and modulation cutting rate on SBS mitigation and found the corresponding optimal component of n=9, 22.72 dBm and 0.54. On this situation, contrast to the unfiltered PRBS phase modulation scheme, a 17.7% enhancement of normalized SBS threshold can be obtained by using normalized power in the barrel to estimates the linewidth. This work may provide a new idea for SBS mitigation by lowpass filtered PRBS phase modulation in narrow linewidth fiber amplifiers.
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