The detector using Hopfield network is notable compared with traditional detectors

but it has local optimal behavior.The stochastic Hopfield network is the network

where noise is added to the state variables in order to reach the global optimum and achieve the best detection.The uniform theoretic framework of the detectors based on the stochastic Hopfield network in CDMA communication system is presented.The novel detector guarantees optimal performance by minimizing the corresponding quadratic form.The performance of the novel detector has been tested by extensive simulations in three typical channels

which justifies its superiority compared with other traditional methods.