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Probabilistically shaped[PS]pulse amplitude modulation[PAM]is a promising technique for intra-data-center networks due to its superior performance,for which a low-complexity and cost-effective distributed matching method is critical.In this work,we propose an energy-level-assigned method to yield PS-PAM-4 signals with various bit rates based on variable probabilistic distributions.We experimentally demonstrate the proposed method in a 25 Gbaud PS-PAM-4 transmission over a bandwidth of approximately 10 GHz.Compared to a uniform PAM-4 system,the proposed multi-distributed PS-PAM-4 system approaches the hard decision threshold at a wide range of received optical power for different applications.