In order to reduce the size of transmitted data on the premise of retaining a certain detection performance,a distributed detection algorithm is proposed on the basis of local soft decision.Then,an optimization problem on the basis of the distributed detection with local soft decision is derived and formulated,and a local soft decision scheme for achieving the optimum detection performance is obtained by utilizing the routine method to solve the optimization problem.Finally,the detection performance of the proposed algorithm is verified by a simulation and is compared with that of the algorithm with uniform quantization or without quantization in the ideal /imperfect channels.Numerical results demonstrate that,in terms of detection performance,the proposed algorithm outperforms the algorithm with uniform quantization,and is very close to the algorithm without quantization when a 3-bit quantization is conducted.