In this paper, a new method using fast converging particle swarm optimization for channel estimation in transmit diversity has been proposed. Also, various estimation techniques for improving the accuracy of channel estimation, comparing the LS estimator with Adaptive Least Square estimator receiver which includes a feedback of output and improves the BER performance of the system, close to the ideal channel performance, have been studied. In the channel, it is required to transmit the data from a transmitter to receiver but sometimes noise is added to the data that has to be transmitted and that noise is called the interference. To improve the estimation process, an evolutionary algorithm like optimization techniques can be utilized for the estimation of the channel. Therefore, a method can be developed based on Particle Swarm Optimization based Least Square estimator for transmit diversity case in OFDM. The results have been shown in support of the proposed method.